Question 1. Prove that the determinant is independent of θ. Solution: A = A = x(x2 – 1) – sinθ(-x sinθ – cosθ) + cosθ(-sinθ +… Read More
Tag Archives: NCERT Solutions Class-12
You’re about to fly from the nest to a new world and we can understand how exciting and nervous you appear to appear on your… 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 18. For what value of λ is the function defined by continuous at x = 0? What about continuity at x = 1? Solution:… Read More
Question 11: Let S = {a, b, c} and T = {1, 2, 3}. Find F–1 of the following functions F from S to T,… 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 13. Find two numbers whose sum is 24 and whose product is as large as possible. Solution: Let us assume two numbers x and… 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
Chapter 5 Continuity And Differentiability – Exercise 5.5 | Set 1 Question 11. Differentiate the function with respect to x. (x cos x)x + (x… Read More
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