# Tag Archives: NCERT Solutions Class-12

Question 1. Find the slope of the tangent to the curve y = 3x4 – 4x at x = 4. Solution: Given curve: y =… Read More
Question 1. In the matrix A = , write: (i)The order of the matrix  Solution: We can see that matrix contains 3 rows and 4 columns… Read More
Question 1. Find the value of  Solution:  We know that   Here,  Now,  can be written as : , where  Hence, the value of  = π/6 Question 2.… Read More
Chapter 2 Inverse Trigonometric Functions – Miscellaneous Exercise on Chapter 2 | Set 1  Question 11. Prove  Solution: Put  so that,  Then, we have : LHS… Read More
Question 1: Determine whether or not each of the definition of ∗ given below gives a binary operation. In the event that ∗ is not… Read More
Find  of the following: Question 1. 2x + 3y = sin x Solution: On differentiating both sides w.r.t. x, we get 2 + 3  = cos x… Read More
Chapter 1 Relations and Functions – Exercise 1.4 | Set 1 Question 7: Is ∗ defined on the set {1, 2, 3, 4, 5} by… Read More
Chapter 2 Inverse Trigonometric Functions – Exercise 2.2 |  Set 1 Find the values of each of the following:  Question 11. tan−1[2cos(2sin−11/2​)] Solution: Let us assume… Read More
Prove the following Question 1. 3sin-1x = sin-1(3x – 4x3), x∈[-1/2, 1/2]  Solution: Let us take x = sinθ, so θ = sin-1x Substitute the value… Read More
Chapter 4 Determinants- Exercise 4.2 | Set 1 Question 11. (i) (ii) Solution: (i) L.H.S.= ∵ L.H.S.=R.H.S Hence proved (ii)  ∵ L.H.S.=R.H.S Hence proved Question… Read More
Using the properties of determinants and without expanding in Exercise 1 to 7, prove that: Question 1.  Solution: L.H.S.=            … Read More
Question 1. Find the transpose of each of the following matrices: (i)   (ii)  (iii)  Solution: (i) Let A = ∴Transpose of A = A’ =… Read More
Question 1. Determine whether each of the following relations are reflexive, symmetric and transitive: (i) Relation R in the set A={ 1, 2,3, . .… Read More
Write minors and cofactors of the elements of the following determinants:  Question 1.  (i)  (ii)  Solution:  (i)  Finding minors of the elements of the determinant: … Read More
Question 1. Find area of the triangle with vertices at the point given in each of the following :  (i) (1, 0), (6, 0), (4,… Read More