Q.11593·Miscellaneous·2014·EasyConsider the following statements: 1.The function f(x) = |x| is not differentiable at x = 1. 2.The function f(x) = e^x is differentiable at x = 0. Which of the above statements is/are correct?View question
Q.11595·Miscellaneous·2014·EasyConsider the following statements: 1.f′(2 + 0) does not exist. 2.f′(2 − 0) does not exist. Which of the above statements is/are correct?View question
Q.11596·Miscellaneous·2014·EasyConsider the following statements: 1.The function f(x) = sin x decreases on the interval (0, π/2). 2.The function f(x) = cos x increases on the interval (0, π/2). Which of the above statements is/are correctView question
Q.11597·Miscellaneous·2014·EasyWhat is the number of arbitrary constants in the particular solution of differential equation of third order?View question
Q.11598·Miscellaneous·2014·EasyWhat is the equation of a curve passing through (0, 1) and whose differential equation is given by dy = y tan x dx?View question
Q.11599·Miscellaneous·2014·EasyConsider the following statements in respect of the differential equation d²y/dx² + cos(dy/dx) = 0: 1.The degree of the differential equation is not defined. 2.The order of the differential equation is 2. Which of the above statements is/are correct?View question
Q.11600·Miscellaneous·2014·EasyWhat is the equation of parabola whose vertex is at (0, 0) and focus is at (0, -2)?View question
Q.11601·Miscellaneous·2014·EasyNumber X is randomly selected from the set of odd numbers and Y is randomly selected from the set of even numbers of the set {1, 2, 3, 4, 5, 6, 7}. Let Z = (X + Y). What is P(Z = 5) equal to?View question
Q.11602·Miscellaneous·2014·EasyLet a vector r make angles 60°, 30° with x and y axes respectively. What are the direction cosines of r?View question
Q.11603·Miscellaneous·2014·EasyNumber X is randomly selected from the set of odd numbers and Y is randomly selected from the set of even numbers of the set {1, 2, 3, 4, 5, 6, 7}. Let Z = (X + Y). What is P(Z = 10) equal to?View question
Q.11604·Miscellaneous·2014·EasyNumber X is randomly selected from the set of odd numbers and Y is randomly selected from the set of even numbers of the set {1, 2, 3, 4, 5, 6, 7}. Let Z = (X + Y). What is P(Z > 11) equal to?View question
Q.11605·Miscellaneous·2014·EasyConsider the following statements: 1.Value of sin θ oscillates between -1 and 1. 2.Value of cos θ oscillates between 0 and 1. Which of the above statements is/are correct?View question
Q.11606·Miscellaneous·2014·EasyGiven: C(n, r) : C(n, r + 1) = 1 : 2 and C(n, r + 1) : C(n, r + 2) = 2 : 3 What is P(n, r) : C(n, r) equal to?View question
Q.11607·Miscellaneous·2014·EasyGiven: C(n, r) : C(n, r + 1) = 1 : 2 and C(n, r + 1) : C(n, r + 2) = 2 : 3 What is r equal to?View question
Q.11608·Miscellaneous·2014·EasyGiven: C(n, r) : C(n, r + 1) = 1 : 2 and C(n, r + 1) : C(n, r + 2) = 2 : 3 What is n equal to?View question
Q.11609·Miscellaneous·2014·EasyWhat is the sum of the coefficients of the two middle terms?View question