Question 2: A and B throw a pair of dice alternately. A wins the game if he gets a total of 7 and B wins the game if he gets a total of 10. If A starts the game, then find the probability that B wins. … Read more
Question: 1 The probabilities of two students A and B coming to the school in time are 3/7 and 5/7 respectively. Assuming that the events, ‘A coming in time’ and ‘B coming in time’ are independent, find the probability of only one of them coming to the school in time. … Read more
Question: If , with , then prove that . Hence show that . …….. [CBSC 2016] Solution: Given, Differentiating with respect to y on both sides, we get Differentiating both sides w.r.t. x, we get Some other question: Q 1: If , Prove that . ……..[CBSC 2020] Solution: For solution click here … Read more
Question: Find the value of at , if and . …….. [CBSC 2008, 2014] Solution: Given, and Taking, Differentiating with respect to θ, we get Again taking, Differentiating with respect to θ, we get Some other question: Q 1: If , Prove that . ……..[CBSC 2020] Solution : For solution … Read more
Question: If , Prove that . ……..[CBSC 2020] Solution: Given, Differentiating with respect to x, we have, Some other question: Q 1: If , then prove that Q 2: Find the value of at , if and . …….. [CBSC 2008, 2014]
Question: If , then prove that Solution: Given, Taking logrithm both sides, we get log Differentiating both sides with respect to y, we get Some other question Q 1 :If tan inverse y/x = log root x^2 + y^2, then prove that Q 2: Find the value of at , if and . … Read more
Question: If α and β are the zeros of the quadratic polynomial f(x) = ax² + bx + c, then evaluate: (i) (ii) (iii) (iv) (v) (vi) Solution: Since α and β are the zeros of the quadratic polynomial f(x) = ax² + bx + c and (i) We … Read more
Question:1 If we add 1 to the numerator and subtract 1 from the denominator, a fraction becomes 1. It also becomes 1/2 if we add 1 to the denominator. What is the fraction. Solution: Let the fraction Then, according to the first condition, we have ……..(i) … Read more
Question:1 Find the zeros of the quadratic polynomial x² + 7x + 12, and verify the relation between the zeros and its coefficients. Solution: We have, f(x) = x² + 7x + 12 f(x) = x² + 7x + 12 ⇒ f(x) = x² + 4x + 3x … Read more
Question: Two group are competing for the position on the Board of Directors of a corporation. The probabilities that the first and second group will win are 0.6 and 0.4 respectively. Further, if the first group wins, the probabilities of introducing a new product is … Read more