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  7. IBA Eco-Math Recorded Course

What’s included in Recorded Classes?

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interactive classes

recorded lectures

study material

free practice zone

Classes Content

Basic Fractions

Remaining Fractions - Tree Diagrams

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Translation with Fractions

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Basic Percentages

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Remaining Percentages

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Percentage Change

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Adjusted Percentages

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Interests

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Basic Ratios

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Direct Ratios

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Inverse Ratios

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Ratios in slots

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Miscellaneous Ratios

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Algebraic Ratios

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Partnership

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Use of Formula

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Two Moving Automobiles

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Effective Rates

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Age Problems

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Basic Translation

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Mean, Median, Modes and Ranges

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New Mean

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Grouped Data

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Mean= Median in AP

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Divisibility Trick-I

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Divisibility Trick-II

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Divisibility Trick-III

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Digit problems

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Venn Diagrams

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Primes and Composites

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Symbolic problems

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Introduction to Algebraic Terminologies

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Equations vs Expressions - Conversion

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Equations vs Expressions - Substitution

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Equations vs Expressions - Conditional

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Subject of the Formula

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Simultaneous Equations

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Introduction to Algebraic Identities

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Expansion using Identities

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Factorization using Identities

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Factorization Using Middle Term Breaking

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More on Simultaneous Equations

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Exponential Function

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Inverse Trigonometric Function

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Trigonometric Function

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Hyperbolic Function Part 1

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Hyperbolic Function Part 2

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Inverse Hyperbolic Function

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Successive Differentiation

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Maclaurin Series

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Taylor Expansion

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Geometrical Interpretation of Derivative

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Increasing & Decreasing Function

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Extreme Values, Relative Maximum and Minimum, Critical Points

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Maxima and Minima

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Rules Of Indices

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Introduction to Radicals

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Radicals under 4 operations

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Rationalization

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Introduction to Probability

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Definition & Basic Terminology

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Cases of Coins

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Addition Law of Probability

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Complementary Events

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Multiplication Law of Probablity

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Lines and Angles

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Polygons, Solids and Circles

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Area of polygons using coordinates

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Polygons

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Circles

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Solids

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Introduction To Vector & Scalar

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Geometrical Interpretation of Vector

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Types of Vector

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Addition, Subtraction of Vector and Laws of Addition of Vector

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Magnitude of Vector

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Vector Geometry, Ratio Formula

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Vector in Space

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Properties of Vector

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Distance in Space

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Direction Cosine & Ratio

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Projection of Vector

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Cross Product

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Scalar Triple Product

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Work Done

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Moment of Force

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Scalar Product

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Dependent & Independent Variable

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Average Rate of Change

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Derivative of Function

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Instantaneous Rate of Change

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Implicit Function

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Parametric Function

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Chain Rule

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Theorem on Differentiation

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Logarithmic Function

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Exponential Function

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Inverse Trigonometric Function

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Trigonometric Function

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Geometrical Interpretation of Derivative

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Increasing & Decreasing Function

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Extreme Values, Relative Maximum and Minimum, Critical Points

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Maxima and Minima

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Differential of Variable

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Distinguish Between dy and sigma y

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What is Integration?

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Standard Formula of Antiderivative

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Theorem on Antiderivative

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Substitution Method

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Integration by Parts

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Partial Fraction

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Definite Integral

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Differential Equation

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Area under the Curve

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Initial Condition

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Distance Formula

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Fundamental & Its Deduction

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Double Angle Identites

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Half Angle Identites

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Triple Angle Identities

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Trigonometric Identities

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Sum to Product Identities

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Allied Angles

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Graph of Sinx

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Graph of Cosx

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Graph of Tanx

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Graph of Cotx, Cosec, Secx

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Inverse Function

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Graph of Inverse Sin, Cos

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Graph of Inverse Tan

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Graph of Inverse Cot

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Graph of Inverse Sec, Cosec

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Graph & General Solution of Trigonometric Equation

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Introduction to Sets

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Types of Sets

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Operation on Sets

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Equation of oblique lines

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Equation of Vertical and Horizontal Lines

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Distance Formula

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Mid-Points and Perpendicular Bisectors

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Interpretation of Slopes

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Sketching with Slopes and Intercepts

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Discriminant

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Reflection & Translation

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Complex Number

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Ordered Pair

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Conjugate of Complex No

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Equality of Complex No

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Modulus of Complex Number

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Operation on Complex Number

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Argument of Complex Number

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De Moivre's Theorem

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Quadratic Equation

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Nature of Root

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Nature of Root W.R.T Graph

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Forth Root of Unity

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Cube Root of Unity

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Relation Between Roots

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Polynomial Function

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Factor and Remainder Theorem

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Mathematical Induction

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Binomial Theorem for Positive Index

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Indicated Term

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Middle Term

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Required Power of Variable is Given

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Independent of X

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Binomial Theorem When n is Negative

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First Negative Term

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Sequence + Arithmetic Sequence

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Arithmetic Mean

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Arithmetic Series

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Geometric Progression

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Geometric Sum

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Geometric Mean

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Infinite G.P

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Harmonic Progression

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Harmonic Mean

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Intro to Matrix

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Order of Matrix

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Addition & Subtraction of Matrix

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Multiplication of Matrix

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Types of Matrix

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Determinant

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Singular & Non Singular Matrix

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Properties Of Determinant

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Minor & Cofactor

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Inverse of Matrix

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Symmetric & Skew Symmetric Matrix

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Special Type of Matrix

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Elementary Row & Column Operation

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Echelon & Reduced Echelon Form

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Rank Of Matrix

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System of Linear Equation

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Hermitian & Skew Hermitian Matrix

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Adjoint of a Matrix

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Transpose of Matrix

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Concept of Function

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Domain of Function

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Range of Function

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Types of Function (Part 1)

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Types of Function (Part 2)

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Concept of Limit or Limit of a Function

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Theorem on Limit

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Limit of Important Function

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Limit at Infinity

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Inverse Function

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Composite Function

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Continuity & Discontinuity of Function

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Graphs

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Point to Line Distance

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Distance Between Parallel Lines

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Equation of Line in Matrix Form

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Angle between lines

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Sandwich Theorem

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Introduction to Conics

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Standard Form of Circle

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General Form of Circle

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Parametric Form of Circle

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Equation of Circle by Given Condition

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Tangent & Normal

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Length of Tangent

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Theorem on Circle

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Properties of Circle

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Formation of Parabola

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General Form of Parabola

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Ellipse

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General Form of Ellipse

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Standard Form of Ellipse

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Standard Form of Hyperbola

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General Form of Hyperbola

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Equation of Tangent and Normal and Condition of Tangency of Parabola

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Equation of Tangent of Ellipse and Tangency Condition & Hyperbola

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Intersection of Conics

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General Equation of Second Degree

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Intersection of Circle

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Standard Form of Parabola, Elements of Parabola

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Combination

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Permutation

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Word Arrangement

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Principle of Counting

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Arrangement of Digits

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Nouns and Pronouns

Subject

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Subject Drill

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Verb

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Verb Drill

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Modifier

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Modifier Drill

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Subject Verb Agreement (Introduction)

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Subject Verb Agreement 1

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Subject Verb Agreement 2

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Subject Verb Agreement 3

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Subject Verb Agreement 4A

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Subject Verb Agreement 4B

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Subject Verb Agreement 5

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Subject Verb Agreement 6

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Subject Verb Agreement 7

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Subject Verb Agreement 8

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Subject Verb Agreement 9

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Pronoun (Introduction)

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Pronoun Types

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Use of Subject Pronoun

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Use of Object Pronoun

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Ambiguous Reference

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One and You

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Use of Possessives

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Pronouns in Comparison

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Pronouns - Who and Whom

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Parallelism

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Parallel Markers

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Types of Sentences

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Semi Colon

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Comma

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Colon

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Count Noun and Non Count Nouns + Conditionals

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Adjective and Adverbs

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Relative Pronoun

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Noun Modifiers

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Possessives

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Central Idea

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Line Reference

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Vocab in Context

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Except Question

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Tone Questions

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Tone Words

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Introduction

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Single Blank Sentences

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SC Double Blank

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Analogies

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Sentence Relationship

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Jumbled Paragraphs

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Grammar Based

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Poetry Intro

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Poetry Device

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Poetry Meaning

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Poetry Add ons

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Poem London 1802

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Logical Comparison

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Comparative and Superlative

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Any other

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Like vs As

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Vocabulary Learning Strategies

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Vocabulary Retaining Strategies

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ready to prepare?

This course includes:

Bite-Sized Explanations
Concise topic-wise elaborations with relevant examples and clear illustrations to make understanding concepts as easy as possible.
Free Lecture Notes
Comprehensive chapter-wise study notes to enhance revision and help retain important information.
Free Practice Zone
Get complimentary access to thousands of MCQs to strengthen your weaknesses and master your concepts.
Personal Note-taking
Make your own notes for each lecture with our built-in feature, and view them separately later!
Self-paced Learning
Learn independently at your own pace anytime and anywhere!
Discussion Groups
Separate WhatsApp groups to engage with our subject experts to resolve your doubts and queries in one place!

Bundles

Advance Packages
Access to All Universities
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    Ultimate Packages
    Rs: 30,000
    Access to All Universities
    • Unlock all universities

    • All subjects content

    • Topic-wise lectures

    • 1,400+ lectures

    • Free Practice Zone

    • 3,200+ tests

    • 37,300+ MCQs

    • Topical tests

    • Chapter-wise tests

    • Subject Mock tests

    • Full-length tests

    • Original past papers

    • Video Solutions

    • Instant test analytics

    • Teacher support

    Enroll Now
    Subscriptions

    All You Need to Know
    About Chaajao’s Recorded Courses!

    What sets our Recorded Courses apart?

    Revolutionize your learning experience through a comprehensive suite of innovative
    tools and resources, all seamlessly integrated for maximum results!

    01. 54,000+ MCQS

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    02. Subject Mock Tests

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    03. Final Grand Tests

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    04. Subject Mock Tests

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    05. Final Grand Tests

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    06. Final Grand Tests

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    07. Final Grand Tests

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    Hassaan Ali
    July 16, 2022
    One of the best app for test preparation. Huge question pool for students to practice as well as amazing video explanations for EACH question in which a highly experienced teacher not only explains the correct option, but also why all the rest of options are incorrect. It also tracks statistics so students can analyze their performances. Highly recommended!
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    I recently downloaded this app and I must say, I’m impressed! The interface is clean, easy to navigate, and the app runs smoothly without any glitches. The features included are exactly what I was looking for – it’s like it was made just for me! I really appreciate the user-friendly design and the intuitive interface. It made it very easy to navigate and find the content that I need. I highly recommend this app to anyone looking for a user-friendly and efficient experience.
    Hammad Farhat
    June 30, 2022
    This is the best app for students who want to prepare for MDCAT, BCAT, and ECAT exams. The app contains various practice tests for different topics and chapters that can help students to get a solid grip on the topics in which they are facing difficulty. Moreover, the best thing is that for every wrong answer, there are detailed video solutions that help to clear concepts. I would highly recommend Chaajao to everyone!
    Batool Zehra
    April 9, 2024
    It’s an amazing app, it helps to solve all questions with their video solutions. It reinforces our concepts by helping us know what our mistakes were. Moreover, it also has a time limit on each test that teaches us to manage our time during the MCQs practice, which is the most crucial step. And most importantly, it doesn’t leaves the students without knowing their progress, at that end of every test the application provides valuable feedback and important suggestions that helps individuals to strengthen their concepts.

    Frequently Asked Questions

    What is Chaajao?

    Chaajao is an e-learning platform that provides comprehensive and structured learning solutions for exam preparation for students in Pakistan and around the globe. The core products consist of interactive and engaging Live Classes, self-paced Recorded Courses, and the Practice Zone, a multi-tiered testing system.

    What are Recorded Courses?

    A comprehensive library of self-paced and easy-to-understand lectures delivered in a concise and clear manner. By pausing, rewinding, and re-watching lectures to ensure a thorough and conceptual understanding of the material, you can prepare at your own pace, whenever and wherever you want!

    What courses does Chaajao offer or help prepare?

    Chaajao provides complete and comprehensive courses for entrance exams of Pakistan’s top-most Business (IBA, LUMS, CBM, SZABIST, etc.), Engineering (NUST, FAST, NED, PIEAS, GIKI, etc.) and Medical (AKU, NUMS, KEMU, DUHS, UHS, etc.) universities, as well as standardized international tests such as, SAT, GRE, and GMAT. We also offer preparation courses for Intermediate (HSC) and Matric (SSC) for Sindh, Punjab, and Federal Boards of Pakistan.

    How can I prepare for the university I want to go to?

    Chaajao’s Recorded Courses contain an extensive library of engaging video lectures that break down complex concepts into easy-to-understand lessons. The lectures are recorded by our experienced instructors that have an average of 10+ years of teaching experience. The course covers all the topics, subjects, and chapters of the syllabus and are constantly being updated according to the latest content changes.

    With Chaajao’s Recorded Courses, you can build a thorough understanding of difficult topics by pausing, rewinding, and re-watching lectures at your own pace to ensure mastery of the material, while studying whenever and wherever you want!

    Can I prepare completely with a Recorded Course?

    Yes! Our Recorded Courses cover all the relevant topics of each program we offer in detail while making sure that the lectures are to-the-point and easy-to-understand. Cover all the content at your own pace, whenever and wherever you want and secure your ticket to your dream university!

    What is so unique about the Recorded Courses?

    Chaajao’s Recorded Courses make understanding complex concepts easier by breaking them down into concise smaller lectures while retaining all of the important information. With multiple detailed videos for each aspect of a topic, our lectures help develop a deeper understanding of complex and difficult concepts while covering all bases in a comprehensive manner. Learn on the go and at your own convenience and prepare for your dream university in style!

    Do the Recorded Courses cover all the topics needed for the exam?

    Yes, our Recorded Courses comprehensively cover all the topics needed for the exam. We provide both bite-sized and complete recorded lectures for each subject, chapter, and topic relevant to the exam. This ensures that students have access to detailed explanations and discussions on every aspect of the exam syllabus. Whether you need a quick review of specific concepts or in-depth understanding of entire chapters, our Recorded Courses offer the resources you need to succeed in your exam preparation.

    Can I try a demo of the Recorded Courses before purchasing?

    Absolutely! We understand the importance of experiencing our Recorded Courses before making a decision. That’s why we offer a demo feature where 25% of all lectures in all courses are unlocked and can be accessed and watched at any time on our applications. This allows you to explore a substantial portion of the course content, giving you a feel for the teaching style, course structure, and overall quality of our Recorded Courses. We believe that this hands-on experience will help you make an informed decision about purchasing our courses.

    How many lectures does the course contain?

    Chaajao’s Recorded Courses contain 22,600+ video lectures with the following breakdown:

    1. ECAT: 15,800+
    2. MDCAT: 3,600+
    3. BCAT: 1,800+
    4. Matric: 900+
    5. Intermediate: 600+
    6. SAT: 110+
    Are there any added features for the Recorded Courses?

    With Chaajao’s Recorded Course, you’ll get all the features you will need to ace your entrance exams!

    1. Bite-Sized Explanations: Concise topic-wise elaborations with relevant examples and clear illustrations to make understanding concepts as easy as possible.
    2. Free Lecture Notes: Comprehensive chapter-wise study notes to enhance revision and help retain important information.
    3. Free Practice Zone: Get complimentary access to thousands of MCQs to strengthen your weaknesses and master your concepts.
    4. Personal Note-taking: Make your own notes for each lecture with our built-in feature, and view them separately later!
    5. Self-paced Learning: Learn independently at your own pace anytime and anywhere!
    6. Discussion Groups: Separate WhatsApp groups to engage with our subject experts to resolve your doubts and queries in one place!
    What is the Practice Zone?

    The Practice Zone is a dynamic multi-tiered testing system that provides timed tests, divided into topical, chapter-wise, subject-mock, and full-length grand tests, to reinforce concepts and solidify your understanding from all angles. 

    In addition, the Practice Zone also provides Video Solutions for each question to clear all your doubts and make sure you master the concept. With instant reports containing Live Analytics after each test to evaluate your performance and identify weaknesses, the Practice Zone leaves no room for doubts to ensure your success!

    What does the Practice Zone contain?

    The Practice Zone consists of a total of 31,400+ tests and 334,000+ questions & video solutions with the following breakdown:

    1. BCAT: 3,800+ Tests | 44,300+ Questions
    2. ECAT: 20,100+ Tests | 197,800+ Questions
    3. MDCAT: 4,600+ Tests | 56,400+ Questions
    4. Intermediate: 3,000+ Tests | 26,000+ Questions
    5. Matric: 550+ Tests | 6,200+ Questions
    6. SAT: 190+ Tests | 1,900+ Questions
    Are there any assignments or quizzes included with the Recorded Courses?

    Yes, our Recorded Courses offer a comprehensive learning experience with assignments and quizzes included. There are topical quizzes available in each chapter, providing opportunities for self-assessment and reinforcing learning along the way. Additionally, all Recorded Courses come with free access to our Practice Zone, a multi-tiered testing system where users can attempt various tests to master concepts and clarify misunderstandings. This Practice Zone ensures that students can prepare from all angles and enhance their understanding of the course material.

    Do the Recorded Courses come with any supplemental materials?

    Yes, our Recorded Courses come with supplemental materials to enhance the learning experience. Specifically, there are lecture notes available for each chapter. These notes are designed to aid in the retention of information and facilitate effective revision. By providing additional resources alongside the recorded lectures, we aim to support students in their learning journey and help them succeed in their academic pursuits.

    How do I access the Recorded Courses?

    Accessing our Recorded Courses is simple and flexible. You can access them through Chaajao’s mobile applications on Android and iOS or through our web application, which is compatible with all major browsers. Whether you’re on the go or prefer to study from your computer, our Recorded Courses are easily accessible from any internet-enabled device.

    What are the technological requirements to access the Recorded Courses?

    All applications require an internet connection. The online classes are conducted through third party applications such as Zoom, which are compatible with Android devices running version 7.0 or above, as well as iPhones and iPads for iOS users. Additionally, our web application is accessible on all major browsers.

    How often are the Recorded Courses updated?

    Our Recorded Courses are updated regularly to ensure that they remain relevant and aligned with the latest educational standards and requirements. Updates occur whenever there is a syllabus, content, or paper pattern change in any course, program, or entrance exam. This proactive approach allows us to provide students with the most up-to-date and comprehensive learning materials, ensuring that they have access to the latest information and resources to support their academic success. Rest assured that we are committed to keeping our Recorded Courses current and reflective of any changes in the educational landscape.

    Can I download the Recorded Courses for offline viewing?

    No, the Recorded Courses cannot be downloaded for offline viewing. They are accessible online through Chaajao’s mobile applications on Android and iOS or through our web application on all major browsers. This ensures that you can access the courses anytime, anywhere, as long as you have an internet connection. If you have any further questions or need assistance, please feel free to reach out to us.

    Is there a refund policy for the Recorded Courses?

    Regrettably, we do not offer refunds for Recorded Courses. We take pride in providing a demo feature where 25% of all lectures in all courses are unlocked and can be accessed and watched at any time on our applications, allowing students to preview our course content before purchasing. This ensures that students can make an informed decision about enrolling in our Recorded Courses. If you have any concerns or require assistance, please feel free to reach out to us, and we’ll be happy to help.

    Are there any discounts or promotions available for the Recorded Courses?

    Certainly! We offer various discounts and promotions for our Recorded Courses to make them accessible to a wide range of students:

    1. Merit-Based Scholarships: We provide merit-based scholarships based on Intermediate or A Levels grades/performance. These scholarships can range from 15% to 50%, depending on the academic excellence demonstrated by the student.
    2. Need-Based Scholarships: We also offer need-based scholarships for students who require financial assistance. The percentage of discount varies depending on individual circumstances and can even cover the subscription fee, reaching up to 100%.
    3. Periodic Discounts: Additionally, we offer seasonal discounts and promotions that vary from season to season. These discounts provide opportunities for students to subscribe to our Recorded Courses at reduced rates, making quality education more accessible to all.

    By offering a range of discounts and promotions, we aim to ensure that every student has the opportunity to benefit from our Recorded Courses, regardless of their financial situation or academic background. If you have any questions about our discount offerings or eligibility criteria, please feel free to contact us for further information.

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