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
Tag Archives: NCERT Solutions Class-12
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
Question 11. Prove Solution: Put so that, Then, we have : LHS = = = = = – L.H.S = R.H.S Hence… 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 dy/dx of the following: Question 1. 2x + 3y = sin x Solution: On differentiating both sides w.r.t. x, we get 2 + 3 dy/dx =… Read More
Question 7: Is ∗ defined on the set {1, 2, 3, 4, 5} by a ∗ b = L.C.M. of a and b a binary… Read More
Find the values of each of the following: Question 11. tan−1[2cos(2sin−11/2)] Solution: Let us assume that sin−11/2 = x So, sinx = 1/2 Therefore, x = π/6 =… 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
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 12. Solution: ∵ L.H.S.=R.H.S Hence proved Question 13. … 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
Question 11. Solution: } Question 12. Solution: Here, both the elements of R2 of L.H.S. are 0. Therefore, A-1 does not exist. Question 13. Solution:… Read More