1. ## If A is a 2 – rowed square matrix and │A│=6 then A . adjA = ? See less
2. ## Evaluate the following integrals: ∫ √(3x^2+4)dx See less
3. ## Differentiate the following w.r.t x: sin^-1 {2x √(1 – x^2)}  See less
4. ## Differentiate the following w.r.t x: cos^-1(1 – x^2n)/(1 + x^2n)  See less
5. ## Prove that 2(sin6 θ + cos6 θ) – 3(sin4 θ + cos4 θ) + 1 = 0 See less
6. ## Prove that f(x) = {2x, when x < 2; 2, when x = 2; x, when x > 2;  is discontinuous at x = 2 See less
7. ## An urn contains 9 red, 7 white, and 4 black balls. A ball is drawn at random. Find the probability that the ball is drawn is not white

Total number of Red balls = 9 Total number of white balls = 7 Total number of black balls = 4 Total number of balls = 9 + 7 + 4 = 20 We know, Probability of occurrence of an event = (Total number of favorable outcomes) / (Total number of outcomes)  P(getting not white ball) = 1 – P(getting a white bRead more

Total number of Red balls = 9

Total number of white balls = 7

Total number of black balls = 4

Total number of balls = 9 + 7 + 4 = 20

We know, Probability of occurrence of an event = (Total number of favorable outcomes) / (Total number of outcomes)

P(getting not white ball) = 1 – P(getting a white ball) = 1 – 7/20 = 13/20

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8. ## Show that ƒ(x) = |x-5| is continuous but not differentiable at x=5   See less
9. ## Find the equation of the hyperbola whose foci are (0, ±13) and the length of whose conjugate axis is 24.  