Question 1: Matrices A and B will be inverse of each other only if (A) (B) (C) , (D) Solution: Two square matrices of the same order, say and , are inverses of each other if and only if each is the multiplicative inverse of the other, i.e., This relation guarantees that both left‑ and […]
Class 12 NCERT Maths – Chapter 3 (Matrices) – Exercise 3.4 Solutions Read More »
Question 1: Find the transpose of each of the following matrices: (i) (ii) (iii) Solution 1: (i) Let . Then (ii) Let . Then (iii) Let . Then Question 2 If and verify that(i) (ii) Solution 2 (i) Compute : Then Now compute : Thus (i) is verified. (ii) Compute : Then Thus (ii) is
Class 12 NCERT Maths – Chapter 3 (Matrices) – Exercise 3.3 Solutions Read More »
Those of you looking for NCERT of Class 12 Maths Exercise 3.2, have reached the right place. This exercise covers topics like Addition of Matrices, Multiplication of a matrix by a scalar, Properties of Matrix Addition, Properites of Scalar multiplication of a matrix, multiplication of matrices, properties of multiplication of matrices this makes it essential
Class 12 NCERT Maths – Chapter 3 (Matrices) – Exercise 3.2 Solutions Read More »
Step by step solution of Class 12 NCERT Maths Exercise 3.1 (Matrices).
Class 12 NCERT Maths – Chapter 3 (Matrices) – Exercise 3.1 Solutions Read More »
Chapter 2: Inverse Trigonometric Functions Board: CBSE Q 1: Prove that Solution:Let , where . Then, Now, we know Therefore, Substituting the value of , Q 2: Prove that , where Solution:Let , where . Then, Now, we know Therefore, Substituting the value of , Q 3: Simplify: , where Solution:Let , then and So
Derivative of Trigonometric Functions Derivative of Inverse Trigonometric Functions
Formulas in NCERT 1. 2. 3. Other Important formulas to calculate limits 4. 5. 6. 7. 8. 9. 10.
A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is called the radius. The line segment connecting the center to a point on the circle is also considered a
Introduction and Definition of a Function In mathematics, a function is a fundamental concept that describes a specific type of relation between elements of two sets, typically called the domain and the codomain. A function associates each element in the domain with a unique element in the codomain, and it is often represented as a
