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
Question:- In a certain collage, 4% of boys and 1% of girls are taller than 1.75 metres, Furthermore, 60% of the students in the college are girls. A student is selected at random from the college and is found to be taller than 1.75 metres. Find the probability that the selected student is a girl. … Read more
Question :- Find the value of k for which the pair of equations kx + 2y = 3 and 3x + 6y = 10 has a unique solution. Solution:- Given pair of linear equations is kx + 2y = 3 …….(i) 3x + 6y = 10 …….(ii) $a_1 = k,b_1 = 2, c_1 = 3$ … Read more