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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
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 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 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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