Tag Archives: NCERT Solutions Class-12

Question 1. Prove that the determinant is independent of θ. Solution:  A =  A = x(x2 – 1) – sinθ(-x sinθ – cosθ) + cosθ(-sinθ +… Read More

Question 1: Let , show that (aI + bA)n = an I + nan – 1 bA, where I is the identity matrix of order 2… Read More

Differentiate w.r.t x the function in Exercise 1 to 11. Question 1. (3 x2 – 9x – 5)9 Solution: Let us assume y = (3x2 –… Read More

Question 1. Let f : R → R be defined as f(x) = 10x + 7. Find the function g : R → R such… Read More

Question 1. Prove that the function f(x) = 5x – 3 is continuous at x = 0, at x = – 3 and at x… Read More

Question 1. Find the maximum and minimum values, if any, of the following function given by (i) f(x) = (2x – 1)2 + 3  … Read More

Differentiate the following w.r.t x Question 1. y =  Solution:        () Question 2.  Solution: Question 3.  Solution: Question 4. y=sin(tan-1e-x) Solution: Question 5. y = log(cos… Read More

Find adjoint of each of the matrices in Exercises 1 and 2. Question 1.  Solution:  A =  A11 = 4; A12 = -3; A21 =… Read More

Question 1. Verify Rolle’s theorem for the function f(x) = x2+ 2x – 8, x ∈ [– 4, 2]. Solution: Now f(x) = x² +… Read More

Differentiate the functions given in question 1 to 10 with respect to x. Question 1. cos x.cos2x.cos3x Solution: Let us considered y = cos x.cos2x.cos3x… Read More