Gmath

Question 3:- A, B and C throw a pair of dice in that order alternately till one of them gets a total of 9 and wins the game . Find their respective probabilities of winning, if A starts first.                                  … Read more

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

If cos y = x cos (a + y) with cos a ≠ ± 1 then prove that  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 … Read more

Find the value of dy/dx at θ = pi/4, if x = aeθ(sin θ – cos θ) 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 … Read more

If tan inverse y/x = log root x^2 + y^2, then prove that 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 .        … Read more

If y^x = e^(y-x), then prove that dy/dx = (1 + logy)^2/log y 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 … Read more