| M2-1 |
Date:28 Apr 2025 |
1.1Introduction |
1.2Types of Relations |
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| M2-2 |
Date:29 Apr 2025 |
NCERT Exercise 1.1 |
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| M2-3 |
Date:30 Apr 2025 |
1.3 Types of Functions |
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| M2-4 |
Date:1 May 2025 |
NCERT Exercise 1.2 |
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| M2-5 |
Date:2 May 2025 |
1.4 Composition of Functions and Invertible Function |
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| M2-6 |
Date:3 May 2025 |
Miscellaneous Problems |
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| M2-7 |
Date:5 May 2025 |
Miscellaneous Problems |
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| M2-8 |
Date:6 May 2025 |
Exemplar Problems |
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| M2-9 |
Date:7 May 2025 |
CBSE PYQ’s |
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| M2-10 |
Date:8 May 2025 |
CBSE PYQ’s |
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| M2-11 |
Date:9 May 2025 |
JEE PYQs |
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| M2-12 |
Date:12 May 2025 |
JEE PYQs |
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| M2-13 |
Date:13 May 2025 |
JEE PYQs |
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| M2-14 |
Date:14 May 2025 |
2.1 Introduction |
2.2 Basic Concepts |
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| M2-15 |
Date:15 May 2025 |
NCERT Exercise 2.1 |
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| M2-16 |
Date:16 May 2025 |
2.3 Properties of Inverse Trigonometric Functions |
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| M2-17 |
Date:17 May 2025 |
NCERT Exercise 2.2 |
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| M2-18 |
Date:19 May 2025 |
Miscellaneous Problems |
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| M2-19 |
Date:20 May 2025 |
Exemplar Problems |
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| M2-20 |
Date:21 May 2025 |
CBSE PYQ’s |
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| M2-21 |
Date:22 May 2025 |
CBSE PYQ’s |
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| M2-22 |
Date:23 May 2025 |
CBSE PYQ’s |
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Date:24 May 2025 |
Sets, Numbers & Intervals, Fundamental of Algebra (Basic Maths), Quadratic Equations, Function, Inverse Trigonometric Function |
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| M2-23 |
Date:26 May 2025 |
5.1 Introduction |
5.2 Continuity, Definition 1, Examples (1 to 6), Definition 2 |
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| M2-24 |
Date:27 May 2025 |
Recall Definiton of Continuity, Examples 7 to 15 |
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| M2-25 |
Date:28 May 2025 |
5.2.1 Algebra of Continuous Functions (Theorem 1 ), Remarks, (Theorem 2 ), Examples 16 to 20 |
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| M2-26 |
Date:29 May 2025 |
EXERCISE 5.1 |
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| M2-27 |
Date:30 May 2025 |
5.3. Differentiability, Theorem 3, Corollary 1 |
5.3.1 Derivatives of Composite Functions, Theorem 4 (Chain Rule), Example 21, EXERCISE 5.2 |
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| M2-28 |
Date:31 May 2025 |
5.3.2 Derivatives of Implicit Functions, Examples 22 and 23 |
5.3.3 Derivatives of Inverse Trigonometric Functions, Example 24, EXERCISE 5.3 |
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| M2-29 |
Date:2 Jun 2025 |
5.4 Exponential and Logarithmic Functions, Definition 3, Definition 4, Example 25, Theorem 5*, Example 26, EXERCISE 5.4 |
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| M2-30 |
Date:3 Jun 2025 |
5.5. Logarithmic Differentiation, Example 27, Example 28, Example 29, Example 30, EXERCISE 5.5 |
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| M2-31 |
Date:4 Jun 2025 |
5.6 Derivatives of Functions in Parametric Forms, Example 31 to 34, EXERCISE 5.6 |
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| M2-32 |
Date:5 Jun 2025 |
5.7 Second Order Derivative, Examples 35 to 38, EXERCISE 5.7 |
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Date:7 Jun 2025 |
Logarithms (Basic Maths), Sequence & Series, Limit, Continuity & Differentiability |
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| M2-33 |
Date:9 Jun 2025 |
6.1 Introduction |
6.2 Rate of Change of Quantities , Example 1 , Example 2 , Example 3 , Note , Example 4 , Example 5 , Example 6 |
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| M2-34 |
Date:10 Jun 2025 |
EXERCISE 6.1 |
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| M2-35 |
Date:11 Jun 2025 |
6.3 Increasing and Decreasing Functions , Definition 1 , Definition 2 , Example 7 , Theorem 1 , Remarks , Example 8 , Example 9 , Example 10 , Example 11 , Example 12 , Example 13 |
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| M2-36 |
Date:12 Jun 2025 |
EXERCISE 6.2 |
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| M2-37 |
Date:13 Jun 2025 |
6.4 Maxima and Minima ,Definition 3 ,Remark ,Example 14 ,Note ,Example 15 ,Note ,Example 16 ,Remark ,Note, Definition 4 (Local Maxima/Minima), Theorem 2, Remark, Note, Theorem 3 (First Derivative Test), Note, Example 17, Example 18, Remark |
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| M2-38 |
Date:16 Jun 2025 |
Theorem 4 (Second Derivative Test), Note, Example 19, Example 20, Example 21, Example 22, Remark, Example 23, Note, Example 24, Example 25, Example 26 |
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| M2-39 |
Date:17 Jun 2025 |
6.4.1 Maximum and Minimum Values of a Function in a Closed Interval, Theorem 5, Theorem 6, Working Rule, Example 27, Example 28, Example 29 |
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| M2-40 |
Date:18 Jun 2025 |
EXERCISE 6.3 |
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| M2-41 |
Date:19 Jun 2025 |
EXERCISE 6.3 |
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| M2-42 |
Date:20 Jun 2025 |
Miscellaneous Examples, Example 30, Example 31, Example 32, Example 33, Example 34, Example 35, Example 36, Example 37 |
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Date:21 Jun 2025 |
Trigonometric Ratio & Identities, Method of Differentiation, Application of Derivative |
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| M2-43 |
Date:23 Jun 2025 |
7.1 Introduction |
7.2 Integration as an Inverse Process of Differentiation , Remark , Note |
7.2.1 Some properties of indefinite integral , Note , Example 1 , Example 2 , Example 3 , Example 4 , Remarks - |
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| M2-44 |
Date:24 Jun 2025 |
EXERCISE 7.1 |
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| M2-45 |
Date:25 Jun 2025 |
7.3 Methods of Integration |
7.3.1 Integration by substitution, Example 5, some important integrals involving trigonometric functions and their standard integrals using substitution technique , Example 6 - |
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| M2-46 |
Date:26 Jun 2025 |
EXERCISE 7.2 Part 1 |
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| M2-47 |
Date:27 Jun 2025 |
EXERCISE 7.2 Part 2 |
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| M2-48 |
Date:28 Jun 2025 |
7.3.2 Integration using trigonometric identities, Example 7, Remark, EXERCISE 7.3 Part 1 |
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| M2-49 |
Date:30 Jun 2025 |
EXERCISE 7.3 Part 2 |
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| M2-50 |
Date:1 Jul 2025 |
7.4 Integrals of Some Particular Functions {(1) , (2) , Note , (3) , (4) , (5) , (6) , (7) , (8) , (9), (10)} |
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| M2-51 |
Date:2 Jul 2025 |
Example 8 (i and ii), Example 9 (i,ii and ii), Example 10 (i and ii) |
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| M2-52 |
Date:3 Jul 2025 |
EXERCISE 7.4 Part 1 |
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| M2-53 |
Date:4 Jul 2025 |
EXERCISE 7.4 Part 2 |
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Date:5 Jul 2025 |
Syllabus of Test No. 1,2 & 3 (Unit Test- 1 to 3) |
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| M2-54 |
Date:7 Jul 2025 |
7.5 Integration by Partial Fractions , Example 11 , Remark , Example 12 , Example 13 , Example 14 , Example 15 , Example 16 |
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| M2-55 |
Date:8 Jul 2025 |
EXERCISE 7.5 Part 1 |
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| M2-56 |
Date:9 Jul 2025 |
7.6 Integration by Parts , Remarks , Example 17 , Example 18 , Example 19 , Example 20 , Example 21 |
7.6.1 Integral of the type e^x[f(x)+f’(x)]dx , Example 22 |
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| M2-57 |
Date:10 Jul 2025 |
EXERCISE 7.6 Part 1 |
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| M2-58 |
Date:11 Jul 2025 |
EXERCISE 7.6 Part 2 |
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| M2-59 |
Date:14 Jul 2025 |
7.6.2 Integrals of some more types (i) ∫√(x² a²) dx, (ii) ∫√(x² + a²) dx, (iii) ∫√(a² x²) dx, Example 23, Example 24. |
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| M2-60 |
Date:15 Jul 2025 |
EXERCISE 7.7 |
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| M2-61 |
Date:16 Jul 2025 |
JEE PYQ’s |
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| M2-62 |
Date:17 Jul 2025 |
7.7 Definite Integral |
7.8 Fundamental Theorem of Calculus |
7.8.1 Area function |
7.8.2 First fundamental theorem of integral calculus (Theorem 1) |
7.8.3 Second fundamental theorem of integral calculus (Theorem 2), Remarks, Example 25, |
| M2-63 |
Date:18 Jul 2025 |
EXERCISE 7.8 (Q1-Q11) |
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Date:19 Jul 2025 |
Trigonometric Ratio & Identities, Fundamental of Geometry, Indefinite Integration |
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| M2-64 |
Date:21 Jul 2025 |
7.9 Evaluation of Definite Integrals by Substitution, Example 26 & 27, EXERCISE 7.9 |
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| M2-65 |
Date:22 Jul 2025 |
7.10 Some Properties of Definite Integrals, Examples 28 to 34 |
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| M2-66 |
Date:23 Jul 2025 |
EXERCISE 7.10 (Q1-Q10) |
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| M2-67 |
Date:24 Jul 2025 |
4.1 Introduction |
4.2 Determinant,Remarks |
4.2.1 Determinant of a matrix of order one |
4.2.2 Determinant of a matrix of order two, Example 1, Example 2 |
4.2.3 Determinant of a matrix of order 3 ? 3, Remarks, Example 3 to 5 |
| M2-68 |
Date:25 Jul 2025 |
EXERCISE 4.1 |
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| M2-69 |
Date:26 Jul 2025 |
4.3 Area of a Triangle, Remarks, Example 6 to 7, EXERCISE 4.2 |
4.4 Minors and Cofactors, Definition 1, Remark, Example 8, Definition 2 |
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| M2-70 |
Date:28 Jul 2025 |
4.4 Minors and Cofactors, Recall (Definition 1, Definition 2), Example 9 to 11, Remark, Note, EXERCISE 4.3 |
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| M2-71 |
Date:29 Jul 2025 |
4.5 Adjoint and Inverse of a Matrix |
4.5.1 Adjoint of a matrix, Definition 3, Example 12, Remark, Theorem 1, Definition 4, Definition 5, , Theorem 2, Theorem 3, Remark, Theorem 4, Example 13 to 15, EXERCISE 4 4 (Q1-Q5) |
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| M2-72 |
Date:30 Jul 2025 |
4.6 Applications of Determinants and Matrices |
4.6.1 Solution of system of linear equations using inverse of a matrix, , Example 16 to 18, EXERCISE 4.5 (Q1-Q5) |
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| M2-73 |
Date:31 Jul 2025 |
8.1 Introduction |
8.2 Area under Simple Curves, Remark, Examples 1 & 2, EXERCISE 8.1 |
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| M2-74 |
Date:1 Aug 2025 |
EXERCISE 8.1 |
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Date:2 Aug 2025 |
Straight Line, Determinant, Definite Integration |
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| M2-75 |
Date:4 Aug 2025 |
Miscellaneous Examples 3 & 4, Miscellaneous Exercise on Chapter 8, Summary |
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| M2-76 |
Date:5 Aug 2025 |
JEE PYQ’s |
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| M2-77 |
Date:6 Aug 2025 |
9.1 Introduction |
9.2 Basic Concepts, Note, |
9.2.1. Order of a differential equation |
9.2.2 Degree of a differential equation, Note, Example 1 , |
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| M2-78 |
Date:7 Aug 2025 |
EXERCISE 9.1 |
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| M2-79 |
Date:8 Aug 2025 |
9.3. General and Particular Solutions of a Differential Equation, Example 2, Example 3, EXERCISE 9.2 |
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| M2-80 |
Date:9 Aug 2025 |
9.4. Methods of Solving First Order, First Degree Differential Equations |
9.4.1 Differential equations with variables separable, Examples 4 to 9 |
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| M2-81 |
Date:10 Aug 2025 |
EXERCISE 9.3 (Q1-Q10) |
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| M2-82 |
Date:11Aug 2025 |
9.4.2 Homogeneous differential equations, Note, Example 10 to 13 |
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| M2-83 |
Date:13 Aug 2025 |
9.4 Exersise |
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Date:14 Aug 2025 |
Syllabus of Test No. 1 to 6 (Unit Test- 1 to 5) |
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| M2-84 |
Date:16 Aug 2025 |
9.4.3 Linear differential equations, Example 14 to 18 |
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| M2-85 |
Date:18 Aug 2025 |
9.5 Exersise |
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| M2-86 |
Date:19 Aug 2025 |
3.1 Introduction |
3.2 Matrix, Definition 1 |
3.2.1 Order of a matrix, Note, Example 1 to 3 |
3.3 Types of Matrices |
3.3.1 Equality of matrices, Definition 2, Example 4 & 5 |
| M2-87 |
Date:20 Aug 2025 |
3.1 Exersise |
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| M2-88 |
Date:21 Aug 2025 |
3.4 Operations on Matrices |
3.4.1 Addition of matrices, Example 6 |
3.4.2 Multiplication of a matrix by a scalar, Example 7 |
3.4.3 Properties of matrix addition |
3.4.4 Properties of scalar multiplication of a matrix, Example 8 to 11 |
| M2-89 |
Date:22 Aug 2025 |
3.4.5 Multiplication of matrices |
3.4.6 Properties of multiplication of matrices, Example 12 to 19 |
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| M2-90 |
Date:23 Aug 2025 |
3.2 Exersise (Q1-Q10) |
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| M2-91 |
Date:25 Aug 2025 |
3.2 Exersise (Q11-Q22) |
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| M2-92 |
Date:26 Aug 2025 |
3.5. Transpose of a Matrix, Defintion 3 |
3.5.1 Properties of transpose of the matrices |
3.6 Symmetric and Skew Symmetric Matrices, Definition 4 & 5, Theorem 1, Theorem , Example 22 |
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| M2-93 |
Date:27 Aug 2025 |
3.3 Exersise |
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| M2-94 |
Date:28 Aug 2025 |
3.7 Invertible Matrices, Definition 6, Theorem 3 & 4, EXERCISE 3.4 |
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Date:29 Aug 2025 |
Circle, Area Under The Curve, Differential Equation |
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| M2-95 |
Date:30 Aug 2025 |
Miscellaneous Examples 23 to 25, Miscellaneous Exercise on Chapter 3 |
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| M2-96 |
Date:1 Sep 2025 |
JEE PYQ’s |
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| M2-97 |
Date:2 Sep 2025 |
10.1 Introduction |
10.2 Some Basic Concepts, Definition 1, Note, Position Vector, Direction Cosines |
10.3 Types of Vectors, Remark, Examples 1 to 3, EXERCISE 10.1 |
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| M2-98 |
Date:3 Sep 2025 |
10.4 Addition of Vectors, Note, Property 1 & 2, Remark |
10.5 Multiplication of a Vector by a Scalar, Note |
10.5.1 Components of a vector, remarks, Examples 4 to 9 |
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| M2-99 |
Date:4 Sep 2025 |
10.5.2 Vector joining two points, Example 10 |
10.5.3 Section formula, remark, Examples 11 & 12, EXERCISE 10.2 (Q1-Q18) |
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| M2-100 |
Date:5 Sep 2025 |
10.6 Product of Two Vectors |
10.6.1 Scalar (or dot) product of two vectors, Definition 2, Observations, Property 1 & 2 |
10.6.2 Projection of a vector on a line, Examples 13 to 17 |
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| M2-101 |
Date:6 Sep 2025 |
Examples 18 to 21, EXERCISE 10.3 (Q1-Q6) |
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| M2-102 |
Date:8 Sep 2025 |
EXERCISE 10.3 (Q7-Q18) |
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| M2-103 |
Date:9 Sep 2025 |
10.6.3 Vector (or cross) product of two vectors, Definition 3, Observations, Property 3, Examples 22 to 25, Note |
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| M2-104 |
Date:10 Sep 2025 |
EXERCISE 10.4 |
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| M2-105 |
Date:11 Sep 2025 |
Miscellaneous Examples 26 to 30, Miscellaneous Exercise on Chapter 10 (Q1-Q5) |
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Date:12 Sep 2025 |
Parabola, Ellipse, Hyperbola (Conic Section), Matrices |
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| M2-106 |
Date:13 Sep 2025 |
Miscellaneous Exercise on Chapter 10 (Q6-Q12) |
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| M2-107 |
Date:15 Sep 2025 |
Miscellaneous Exercise on Chapter 10 (Q13-Q19) |
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| M2-108 |
Date:16 Sep 2025 |
Exemplar Problems |
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| M2-109 |
Date:17 Sep 2025 |
JEE PYQ’s |
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| M2-110 |
Date:18 Sep 2025 |
11.1 Introduction |
11.2 Direction Cosines and Direction Ratios of a Line, Remark, Note |
11.2.1 Direction cosines of a line passing through two points, Note, Example 1, Example 2, Example 3, Example 4, Example 5, EXERCISE 11.1 |
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| M2-111 |
Date:19 Sep 2025 |
11.3 Equation of a Line in Space |
11.3.1 Equation of a line through a given point and parallel to a given vector b, Remark, Derivation of cartesian form from vector form, Note, Example 6 |
11.4 Angle between Two Lines, Note, Example 7, Example 8 |
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| M2-112 |
Date:20 Sep 2025 |
11.5 Shortest Distance between Two Lines |
11.5.1 Distance between two skew lines, Cartesian form |
11.5.2 Distance between parallel lines, Example 9, Example 10 |
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| M2-113 |
Date:22 Sep 2025 |
EXERCISE 11.2 (Q1-Q8) |
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| M2-114 |
Date:23 Sep 2025 |
EXERCISE 11.2 (Q9-Q15) |
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| M2-115 |
Date:24 Sep 2025 |
Miscellaneous Exercise on Chapter 11, Summary |
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| M2-116 |
Date:25 Sep 2025 |
JEE PYQ’s |
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Date:26 Sep 2025 |
Permutation & Combination, Binomial Theorem, Vector |
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| M2-117 |
Date:27 Sep 2025 |
13.1 Introduction |
13.2 Conditional Probability, Definition 1 |
13.2.1 Properties of conditional probability, Property 1, Property 2, Property 3, Example 1, Example 2, Example 3 |
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| M2-118 |
Date:29 Sep 2025 |
Example 4, Example 5, Example 6, Example 7, EXERCISE 13.1 (Q1-Q5) |
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| M2-119 |
Date:30 Sep 2025 |
EXERCISE 13.1 (Q6-Q17) |
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| M2-120 |
Date:1 Oct 2025 |
13.3 Multiplication Theorem on Probability, Example 8, Multiplication rule of probability for more than two events, Example 9 |
13.4 Independent Events, Definition 2, Definition 3, Remarks, Example 10, Example 11, Example 12 |
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| M2-121 |
Date:3 Oct 2025 |
Example 13, Note, Example 14, EXERCISE 13.2 (Q1-Q8) |
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| M2-122 |
Date:4 Oct 2025 |
EXERCISE 13.2 (Q9-Q18) |
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| M2-123 |
Date:6 Oct 2025 |
13.5 Bayes’ Theorem |
13.5.1 Partition of a sample space |
13.5.2 Theorem of total probability, Bayes’ Theorem, Remark, Example 16, Example 17, Example 18 |
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| M2-124 |
Date:7 Oct 2025 |
Example 19, Example 20, Example 21, Remark, EXERCISE 13.3 (Q1-Q4) |
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| M2-125 |
Date:8 Oct 2025 |
EXERCISE 13.3 (Q5-Q10) |
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| M2-126 |
Date:9 Oct 2025 |
Miscellaneous Examples (Example 22, Example 23, Remark, Example 24, Miscellaneous Exercise on Chapter 13 (Q1-Q13)), Summary |
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Date:10 Oct 2025 |
Syllabus of Test No. 8, 9 & 10 (Unit Test- 6 to 8) |
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| M2-127 |
Date:11 Oct 2025 |
12.1 Introduction |
12.2 Linear Programming Problem and its Mathematical Formulation |
12.2.1 Mathematical formulation of the problem, Objective function, Constraints, Optimisation problem |
12.2.2 Graphical method of solving linear programming problems, Feasible region, Feasible solutions, Optimal (feasible) solution |
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| M2-128 |
Date:14 Oct 2025 |
Recall theorems and important points, Example 1, Example 2, Example 3, Remark, Example 4, Example 5, Remarks |
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BETA
