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 click … 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 know that (ii) we have, (iii) … 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) According to the second condition …….(ii) Subtracting eq … 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 + 12 ⇒ f(x) = x(x … 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 0.7 and the corresponding probability is 0.3, if the second … Read more
Question 1:- An urn contains 5 red and 2 black balls. Two balls are randomly drawn, without replacement. Let X represent the number of black balls drawn. What are the possible values of X ? Is X is random variable ? If yes, find the mean of X. Solution:- Let X = represent the number … Read more