MATHEMATICS Classroom Course for Class 12 Board Exam
Subhadip Ray, Deepjyoti Saha
Overview
This is the course for Class 12 students for the preparation of MATHEMATICS for their BOARD EXAMINATION i.e. STATE BOARD, CBSE and ISC
Curriculum
Curriculum
- 28 Sections
- 184 Lessons
- 56 Weeks
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- Introduction3
- Inverse Trigonometric Function10
- 2.1Inverse Trigonometric Function [Part 1] Finding the Principle Value30 Minutes
- 2.2Inverse Trigonometric Function [Part 2] Formula Discussion30 Minutes
- 2.3Inverse Trigonometric Function [Part 3] on Multiple of Inverse Function30 Minutes
- 2.4SOLUTION OF CLASS ASSIGNMENT OF INVERSE TRIGONOMETRIC FUNCTION 1ST PART30 Minutes
- 2.5SOLUTION OF CLASS ASSIGNMENT OF INVERSE TRIGONOMETRIC FUNCTION [2nd PART]30 Minutes
- 2.6SOLUTION OF CLASS ASSIGNMENT OF INVERSE TRIGONOMETRIC FUNCTION [3RD PART]30 Minutes
- 2.7SOLUTION OF CLASS ASSIGNMENT OF INVERSE TRIGONOMETRIC FUNCTION [4TH & LAST PART]30 Minutes
- 2.8Short Test on INVERSE TRIGONOMETRIC FUNCTION for Class 1220 Minutes10 Questions
- 2.9HOME ASSIGNMENT of INVERSE TRIGONOMETRIC FUNCTION7 Days
- 2.10Full Test on Inverse Trigonometric Functions for Class 12 Board Exam Preparation90 Minutes35 Questions
- Determinants12
- 3.1Determinants [1st Part] Minor and Co-factor for BOARD Exam30 Minutes
- 3.2Determinants [2nd Part]- Properties of Determinants for BOARD Exam30 Minutes
- 3.3Determinants [3rd Part] on Multiplication of for BOARD Exam30 Minutes
- 3.4Determinants [4th Part] on Cranmer’s Rule for BOARD Exam30 Minutes
- 3.5Determinants [5th Part] Discussion of Question No 2,3,4,5,6,7 of Dreamz Class Assignment30 Minutes
- 3.6Determinants [6th Part] Discussion of Question No 8, 9 and 10 of Dreamz Class Assignment30 Minutes
- 3.7Determinants [7th Part] on Question No 11,12,13,15 of CLASS assignment of Determinants30 Minutes
- 3.8Determinants [8th Part] on Question No 16,17,18,19 of CLASS Assignment30 Minutes
- 3.9Determinants [9th Part] on Question No 20,21,23 of CLASS Assignment30 Minutes
- 3.10Short Test on DETERMINANT for CLASS 1230 Minutes10 Questions
- 3.11HOME ASSIGNMENT of DETERMINANTS for Board Exam7 Days
- 3.12Full Test on Determinants for Class 12 Board Exam Preparation90 Minutes35 Questions
- Matrices18
- 4.1Matrices [Part 1] on Introduction & Different types for BOARD Exam30 Minutes
- 4.2Matrices [Part 2] on Different operation of matrices for BOARD Exam30 Minutes
- 4.3Matrices [Part 3] on Multiplication of Matrix for BOARD Exam30 Minutes
- 4.4Matrices [Part 4] on Symmetric and Skew Symmetric Matrix for BOARD Exam30 Minutes
- 4.5Matrices [Part 5] on Adjoint Matrix for BOARD Exam Course30 Minutes
- 4.6Matrices [Part 6] on Inverse Matrix and its properties for BOARD Exam Course30 Minutes
- 4.7Matrices [Part 7] on Elementary operation of for BOARD Exam Course30 Minutes
- 4.8Matrices [Part 8] on Finding the Inverse Matrix by Elementary Operation for BOARD Exam Course30 Minutes
- 4.9Matrices [Part 9] on Board Class Assignment Solution Part 130 Minutes
- 4.10Matrices [Part 10] on Board Class Assignment Solution Part 230 Minutes
- 4.11Matrices [Part 11] on Board Class Assignment Solution Part 330 Minutes
- 4.12Matrices [Part 12] on Board Class Assignment Solution Part 430 Minutes
- 4.13Matrices [Part 13] on Board Class Assignment Solution Part 530 Minutes
- 4.14Matrices [Part 14] on Board Class Assignment Solution Part 630 Minutes
- 4.15Matrices [Part 15] on Board Class Assignment Solution Part 730 Minutes
- 4.16Short Test on MATRICES for CLASS 1220 Minutes10 Questions
- 4.17HOME ASSIGNMENT of MATRIX for Class 127 Days
- 4.18Full Test on Matrices for Class 12 Board Exam Preparation90 Minutes35 Questions
- Relation and Function12
- 5.1Relation and Function for Class 12 [Part 1] on Basic Definitions for Board Exam30 Minutes
- 5.2Relation and Function for Class 12 [Part 2] on Equivalence Relation for Board Exam30 Minutes
- 5.3Relation and Function for Class 12 [Part 3] on Class Assignments on Relations for Board Exam30 Minutes
- 5.4Relation and Function for Class 12 [Part 4] on Function for Board Exam30 Minutes
- 5.5Relation and Function for Class 12 [Part 5] on Class Assignment of Functions for Board Exam30 Minutes
- 5.6Relation and Function for Class 12 [Part 6] on Class Assignment of Functions for Board Exam30 Minutes
- 5.7Relation and Function for Class 12 [Part 7] on Inverse of a Function for Board Exam30 Minutes
- 5.8Relation and Function for Class 12 [Part 8] on Class Assignment of inverse for Board Exam30 Minutes
- 5.9Relation and Function for Class 12 [Part 9] on Class Assignments of Inverse for Board Exam30 Minutes
- 5.10Short Test on RELATION and FUNCTION of Class 12 for Board Exam20 Minutes10 Questions
- 5.11HOME ASSIGNMENT of RELATION & FUNCTION for Class 127 Days
- 5.12Full Test on Relations and Functions for Class 12 Board Exam Preparation90 Minutes35 Questions
- Math 1st Unit Test for Class 12 Board Exam Preparation1
- Continuity and Differentiability10
- 7.1Continuity and Differentiability [Part 1] on Existence of Limit for Board Exam Course30 Minutes
- 7.2Continuity and Differentiability [Part 2] on Continuity of a function for Board Exam Course30 Minutes
- 7.3Continuity and Differentiability [Part 3] on Solution of Class Assignments for Board Exam Course30 Minutes
- 7.4Continuity and Differentiability [Part 4] on Solution of Class Assignments for Board Exam Course30 Minutes
- 7.5Continuity and Differentiability [Part 5] on Solution of Class Assignments for Board Exam Course30 Minutes
- 7.6Continuity and Differentiability [Part 6] on Solution of Class Assignments for Board Exam Course30 Minutes
- 7.7Continuity and Differentiability [Part 7] on Differentiability of a function for Board Exam Course30 Minutes
- 7.8Continuity and Differentiability [Part 8] on Geometrical interpretation of differentiability for Board Exam Course30 Minutes
- 7.9Continuity and Differentiability [Part 9] on Class Assignments of Differentiability for Board Exam Course30 Minutes
- 7.10Short Test on Continuity & Differentiability for Board Exam20 Minutes10 Questions
- 1st Order Derivative10
- 8.11st Order Derivative [Part 1] on Basic fundamental formulas for Board Exam Course30 Minutes
- 8.21st Order Derivative [Part 2] on Chain Rule of derivative for Board Exam Course30 Minutes
- 8.31st Order Derivative [Part 3] on Class Assignments of derivatives for Board Exam Course30 Minutes
- 8.41st Order Derivative [Part 4] on Derivative of parametric functions for Board Exam Course30 Minutes
- 8.51st Order Derivative [Part 5] on Class Assignments on parametric differentiation for Board Exam Course30 Minutes
- 8.61st Order Derivative [Part 6] on Logarithmic differentiation for Board Exam Course30 Minutes
- 8.71st Order Derivative [Part 7] on Class Assignments on logarithmic differentiation for Board Exam Course30 Minutes
- 8.81st Order Derivative [Part 8] on Differentiation of a function w.r.t. another function for Board Exam Course30 Minutes
- 8.91st Order Derivative [Part 9] on Solution of Class Assignment for Board Exam Course30 Minutes
- 8.10Short Test on 1st Order Derivative for Board Exam20 Minutes10 Questions
- 2nd Order Derivative7
- 9.12nd Order Derivative [Part 1] on Basic Idea of differentiation for Board Exam30 Minutes
- 9.22nd Order Derivative [Part 2] on Solution of Class Assignment for Board Exam30 Minutes
- 9.32nd Order Derivative [Part 3] on Solution of Class Assignment for Board Exam30 Minutes
- 9.42nd Order Derivative [Part 4] on Solution of Class Assignment for Board Exam30 Minutes
- 9.5Short Test on 2nd Order Derivative for Board Exam15 Minutes6 Questions
- 9.6HOME ASSIGNMENT of CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION for Class 127 Days
- 9.7Full Test on Continuity, Differentiability and Differentiation for Class 12 Board Exam Preparation90 Minutes35 Questions
- Application of Derivative- Significance of Derivative7
- 10.1Significance of Derivatives [Part 1] on Approximations for Board Exam30 Minutes
- 10.2Significance of Derivatives [Part 2] on Derivatives as a rate measure for Board Exam30 Minutes
- 10.3Significance of Derivatives [Part 3] on Class Assignments on rate measure for Board Exam30 Minutes
- 10.4Significance of Derivatives [Part 4] on Monotonicity of functions for Board Exam30 Minutes
- 10.5Significance of Derivatives [Part 5] on Class Assignments on monotonic functions for Board Exam30 Minutes
- 10.6Significance of Derivatives [Part 6] on Mean Value Theorems for Board Exam30 Minutes
- 10.7Short Test on Significance of Derivative for Board Exam10 Minutes5 Questions
- Application of Derivative: Limit2
- Application of Derivative- Maxima and Minima10
- 12.1Maxima and Minima [Part 1] on Concept of Extreme values for Board Exam30 Minutes
- 12.2Maxima and Minima [Part 2] on Concepts of global maxima-minima for Board Exam30 Minutes
- 12.3Maxima and Minima [Part 3] on Solution Discussion of Class Assignments for Board Exam30 Minutes
- 12.4Maxima and Minima [Part 4] on Solution Discussion of Class Assignments for Board Exam30 Minutes
- 12.5Maxima and Minima [Part 5] on Solution Discussion of Class Assignments for Board Exam30 Minutes
- 12.6Maxima and Minima [Part 6] on Solution Discussion of Class Assignments for Board Exam30 Minutes
- 12.7Maxima and Minima [Part 7] on Solution Discussion of Class Assignments for Board Exam30 Minutes
- 12.8Maxima and Minima [Part 8] on Solution Discussion of Class Assignments for Board Exam30 Minutes
- 12.9Maxima and Minima [Part 9] on Solution Discussion of Class Assignments for Board Exam30 Minutes
- 12.10Short Test on Maxima and Minima for Board Exam15 Minutes6 Questions
- Application of Derivative- Tangent and Normal9
- 13.1Tangent and Normal [Part 1] on Concepts of tangent & normal for Board Exam30 Minutes
- 13.2Tangent and Normal [Part 2] on Solution Discussion of Class Assignments for Board Exam30 Minutes
- 13.3Tangent and Normal [Part 3] on Solution Discussion of Class Assignments for Board Exam30 Minutes
- 13.4Tangent and Normal [Part 4] on Solution Discussion of Class Assignments for Board Exam30 Minutes
- 13.5Tangent and Normal [Part 5] on Solution Discussion of Class Assignments for Board Exam30 Minutes
- 13.6Tangent and Normal [Part 6] on Solution Discussion of Class Assignments for Board Exam30 Minutes
- 13.7Short Test on Tangent and Normal for Board Exam15 Minutes6 Questions
- 13.8HOME ASSIGNMENT of APPLICATION of DERIVATIVE for Class 127 Days
- 13.9Full Test on Applications of derivatives for Class 12 Board Exam Preparation90 Minutes35 Questions
- Math 2nd Unit Test for Class 12 Board Exam Preparation1
- Indefinite Integration22
- 15.1Indefinite Integration [Part 1] on Basic idea of integration for Board Exam30 Minutes
- 15.2Indefinite Integration [Part 2] on Method of substitution for Board Exam30 Minutes
- 15.3Indefinite Integration [Part 3] on Solution of Class Assignments for Board Exam30 Minutes
- 15.4Indefinite Integration [Part 4] on Some Standard forms of Integration for Board Exam30 Minutes
- 15.5Indefinite Integration [Part 5] on Numerical on Some Standard Forms for Board Exam30 Minutes
- 15.6Indefinite Integration [Part 6] on Some Standard forms of Integration for Board Exam30 Minutes
- 15.7Indefinite Integration [Part 7] on Some More Standard forms of Integration for Board Exam30 Minutes
- 15.8Indefinite Integration [Part 8] on Numericals on substitutions for Board Exam30 Minutes
- 15.9Indefinite Integration [Part 9] on Partial Fraction of Integration for Board Exam30 Minutes
- 15.10Indefinite Integration [Part 10] on More types of Partial Fraction of Integration for Board Exam30 Minutes
- 15.11Indefinite Integration [Part 11] on Some Problems on Partial fraction for Board Exam30 Minutes
- 15.12Indefinite Integration [Part 12] on Some Problems on Partial fraction for Board Exam30 Minutes
- 15.13Indefinite Integration [Part 13] on Some Problems on Partial fraction for Board Exam30 Minutes
- 15.14Indefinite Integration [Part 14] on Integration by parts for Board Exam30 Minutes
- 15.15Indefinite Integration [Part 15] on Some Problems on Integration by parts for Board Exam30 Minutes
- 15.16Indefinite Integration [Part 16] on Some Problems on Integration by parts for Board Exam30 Minutes
- 15.17Indefinite Integration [Part 17] on Some More Problems on Integration by parts for Board Exam30 Minutes
- 15.18Indefinite Integration [Part 18] on Trigonometrical Integration for Board Exam30 Minutes
- 15.19Indefinite Integration [Part 19] on Irrational Integrals for Board Exam30 Minutes
- 15.20Indefinite Integration [Part 20] on Reduction Formula for Board Exam30 Minutes
- 15.21Short Test on Indefinite Integration for Board Exam20 Minutes10 Questions
- 15.22HOME ASSIGNMENT of INDEFINITE INTEGRATION for Class 127 Days
- Definite Integration13
- 16.1Definite Integration [Part 1] on Basic ideas of definite integrals for Board Exam30 Minutes
- 16.2Definite Integration [Part 2] on Problems on definite integrals for Board Exam30 Minutes
- 16.3Definite Integration [Part 3] on Fundamental Properties of definite integrals for Board Exam30 Minutes
- 16.4Definite Integration [Part 4] on Some Important Numerical for Board Exam30 Minutes
- 16.5Definite Integration [Part 5] on Problems on Class Assignments for Board Exam30 Minutes
- 16.6Definite Integration [Part 6] on Some Properties of Definite Integral for Board Exam30 Minutes
- 16.7Definite Integration [Part 7] on Problems on properties of Integral for Board Exam30 Minutes
- 16.8Definite Integration [Part 8] on Some Properties of Definite Integral for Board Exam30 Minutes
- 16.9Definite Integration [Part 9] on Problems on properties of Integral for Board Exam30 Minutes
- 16.10Definite Integration [Part 10] on Geometrical interpretation of definite integrals for Board Exam30 Minutes
- 16.11Short Test on Definite Integration for Board Exam20 Minutes10 Questions
- 16.12HOME ASSIGNMENT of DEFINITE INTEGRATION for Class 127 Days
- 16.13Full Test on Integral Calculus for Class 12 Board Exam Preparation90 Minutes35 Questions
- Math 3rd Unit Test for Class 12 Board Exam Preparation1
- Application of Integration13
- 18.1Application of Integration [Part 1] on Fundamental approach of Area for Board Exam30 Minutes
- 18.2Application of Integration [Part 2] on Numerical on Finding the Area for Board Exam30 Minutes
- 18.3Application of Integration [Part 3] on Numerical on Finding the Area for Board Exam30 Minutes
- 18.4Application of Integration [Part 4] on Numerical on Finding the Area for Board Exam30 Minutes
- 18.5Application of Integration [Part 5] on Solution of Class Assignment for Board Exam30 Minutes
- 18.6Application of Integration [Part 6] on Solution of Class Assignment for Board Exam30 Minutes
- 18.7Application of Integration [Part 7] on Solution of Class Assignment for Board Exam30 Minutes
- 18.8Application of Integration [Part 8] on Solution of Class Assignment for Board Exam30 Minutes
- 18.9Application of Integration [Part 9] on Solution of Class Assignment for Board Exam30 Minutes
- 18.10Application of Integration [Part 10] on Solution of Class Assignment for Board Exam30 Minutes
- 18.11Short Test on Application of Integration for Board Exam20 Minutes10 Questions
- 18.12HOME ASSIGNMENT of APPLICATION OF INTEGRATION for Class 127 Days
- 18.13Full Test on Application of Integration for Class 12 Board Exam Preparation90 Minutes35 Questions
- Differential Equation17
- 19.1Differential Equation [Part 1] on Order & Degree of a Differential Equation for Board Exam30 Minutes
- 19.3Differential Equation [Part 2] on Linear & Non linear equation for Board Exam30 Minutes
- 19.4Differential Equation [Part 3] on General & particular solution for Board Exam30 Minutes
- 19.5Differential Equation [Part 4] on Variable separable form for Board Exam30 Minutes
- 19.6Differential Equation [Part 5] on Numericals on variable separable form for Board Exam30 Minutes
- 19.7Differential Equation [Part 6] on Solving Differential Equation by method of substitution for Board Exam30 Minutes
- 19.8Differential Equation [Part 7] on Homogeneous Differential Equation for Board Exam30 Minutes
- 19.9Differential Equation [Part 8] on Numericals on Homogeneous Differential Equation for Board Exam30 Minutes
- 19.10Differential Equation [Part 9] on More Numericals on Homogeneous Differential Equation for Board Exam30 Minutes
- 19.11Differential Equation [Part 10] on Linear Differential Equation for Board Exam30 Minutes
- 19.12Differential Equation [Part 11] on Numericals on linear Differential Equation for Board Exam30 Minutes
- 19.13Differential Equation [Part 12] on More Numericals on linear Differential Equation for Board Exam30 Minutes
- 19.14Differential Equation [Part 13] on Differential Equation solving by inspection for Board Exam30 Minutes
- 19.15Short Test on Differential Equation for Board Exam20 Minutes10 Questions
- 19.16HOME ASSIGNMENT of DIFFERENTIAL EQUATION for Class 127 Days
- 19.17Full Test on Differential Equations for Class 12 Board Exam Preparation90 Minutes35 Questions
- Math 4th Unit Test for Class 12 Board Exam Preparation1
- Three Dimensional Geometry19
- 21.1Three Dimensional Geometry [Part 1] on Introduction to Directional Ratio & Directional Cosine for Board Exam30 Minutes
- 21.2Three Dimensional Geometry [Part 2] on Numerical on Directional Ratio & Directional Cosine for Board Exam30 Minutes
- 21.3Three Dimensional Geometry [Part 3] on Details of Straight Line for Board Exam30 Minutes
- 21.4Three Dimensional Geometry [Part 4] on Class Assignments on angle between 2 lines for Board Exam30 Minutes
- 21.5Three Dimensional Geometry [Part 5] on Shortest Distance between 2 lines for Board Exam30 Minutes
- 21.6Three Dimensional Geometry [Part 6] on Co-planar Lines for Board Exam30 Minutes
- 21.7Three Dimensional Geometry [Part 7] on Class Assignments on Straight line for Board Exam30 Minutes
- 21.8Three Dimensional Geometry [Part 8] on Concept of Plane for Board Exam30 Minutes
- 21.9Three Dimensional Geometry [Part 9] on Intercept & Normal form of the plane for Board Exam30 Minutes
- 21.10Three Dimensional Geometry [Part 10] on Angle between 2 planes for Board Exam30 Minutes
- 21.11Three Dimensional Geometry [Part 11] on Details of Bisecting Plane for Board Exam30 Minutes
- 21.12Three Dimensional Geometry [Part 12] on Some particular planes for Board Exam30 Minutes
- 21.13Three Dimensional Geometry [Part 13] on Solution of Class Assignments on plane for Board Exam30 Minutes
- 21.14Three Dimensional Geometry [Part 14] on Solution of Class Assignments on plane for Board Exam30 Minutes
- 21.15Three Dimensional Geometry [Part 15] on Solution of Class Assignments on plane for Board Exam30 Minutes
- 21.16Three Dimensional Geometry [Part 16] on Solution of Class Assignments on plane for Board Exam30 Minutes
- 21.17Short Test on Three Dimensional Geometry for Board Exam20 Minutes10 Questions
- 21.18HOME ASSIGNMENT of THREE DIMENSIONAL GEOMETRY for Class 127 Days
- 21.19Full Test on Three Dimensional Geometry for Class 12 Board Exam Preparation90 Minutes35 Questions
- Linear Programming9
- 22.1Linear Programming [Part 1] on Introduction to Linear Programming30 Minutes
- 22.2Linear Programming [Part 2] on Formulation of a Linear Programming30 Minutes
- 22.3Linear Programming [Part 3] on Solution of Linear Programming30 Minutes
- 22.4Linear Programming [Part 4] on Solution of Class Assignment for Board Exam30 Minutes
- 22.5Linear Programming [Part 5] on Solution of Class Assignment for Board Exam30 Minutes
- 22.6Linear Programming [Part 6] on Solution of Class Assignment for Board Exam30 Minutes
- 22.7Short Test on Linear Programming for Board Exam20 Minutes10 Questions
- 22.8HOME ASSIGNMENT of Linear Programming for Class 127 Days
- 22.9Full Test on Linear Programming for Class 12 Board Exam Preparation90 Minutes35 Questions
- Math 5th Unit Test for Class 12 Board Exam Preparation1
- Vector Algebra16
- 24.1Vector Algebra [Part 1] on Representation of vectors for Board Exam30 Minutes
- 24.2Vector Algebra [Part 2] on Addition of vectors for Board Exam30 Minutes
- 24.3Vector Algebra [Part 3] on Position vector of a point for Board Exam30 Minutes
- 24.4Vector Algebra [Part 4] on Section Formula for Board Exam30 Minutes
- 24.5Vector Algebra [Part 5] on Dot product of 2 vectors for Board Exam30 Minutes
- 24.6Vector Algebra [Part 6] on Identities on dot product for Board Exam30 Minutes
- 24.7Vector Algebra [Part 7] on Numericals on Dot product for Board Exam30 Minutes
- 24.8Vector Algebra [Part 8] on Cross Product of 2 vectors for Board Exam30 Minutes
- 24.9Vector Algebra [Part 9] on Application of cross product for Board Exam30 Minutes
- 24.10Vector Algebra [Part 10] on Numericals on cross product for Board Exam30 Minutes
- 24.11Vector Algebra [Part 11] on Scalar triple product for Board Exam30 Minutes
- 24.12Vector Algebra [Part 12] on Properties of Box product for Board Exam30 Minutes
- 24.13Vector Algebra [Part 13] on Numericals on class assignment for Board Exam30 Minutes
- 24.14Short Test on Vector Algebra for Board Exam20 Minutes10 Questions
- 24.15HOME ASSIGNMENT of Vector Algebra for Class 127 Days
- 24.16Full Test on Vector Algebra for Class 12 Board Exam Preparation90 Minutes35 Questions
- Advance Probability11
- 25.1Probability [Part 1] on Conditional probability for Board Exam30 Minutes
- 25.2Probability [Part 2] on Multiplication Theorem for Board Exam30 Minutes
- 25.3Probability [Part 3] on Solution of Class Assignment for Board Exam30 Minutes
- 25.4Probability [Part 4] on Baye’s Theorem for Board Exam30 Minutes
- 25.5Probability [Part 5] on Random Variables for Board Exam30 Minutes
- 25.6Probability [Part 6] on Solution of Class Assignment for Board Exam30 Minutes
- 25.7Probability [Part 7] on Binomial distribution for Board Exam30 Minutes
- 25.8Probability [Part 8] on Solution of Class Assignment for Board Exam30 Minutes
- 25.9Short Test on Advance Probability for Board Exam20 Minutes10 Questions
- 25.10HOME ASSIGNMENT of Advanced Probability for Class 127 Days
- 25.11Full Test on Probability for Class 12 Board Exam Preparation90 Minutes35 Questions
- Math 6th Unit Test for Class 12 Board Exam Preparation1
- Math Term 1 Exam for Class 12 Board Exam Preparation1
- Math Term 2 Exam for Class 12 Board Exam Preparation1