Q.5797·Miscellaneous·2019·EasyConsider the following statements : 1. The magnitude of a × b is same as the area of a triangle with sides a and b 2. If a × b = 0 where a ≠ 0, b ≠ 0, then a = λb Which of the above statements is/are correct ?View question
Q.5798·Miscellaneous·2019·EasyConsider the function f(x) = 3x⁴ - 20x³ - 12x² + 288x + 1 In which one of the following intervals is the function increasing ?View question
Q.5799·Miscellaneous·2019·EasyConsider the function f(x) = g(x) + h(x) where g(x) = sin(x/4) and h(x) = cos(4x/5) What is the period of the function f(x) ?View question
Q.5800·Miscellaneous·2019·EasyConsider the function f(x) = g(x) + h(x) where g(x) = sin(x/4) and h(x) = cos(4x/5) What is the period of the function h(x) ?View question
Q.5801·Miscellaneous·2019·EasyConsider the function f(x) = g(x) + h(x) where g(x) = sin(x/4) and h(x) = cos(4x/5) What is the period of the function g(x) ?View question
Q.5802·Miscellaneous·2019·EasyConsider the equation xʸ = e^(x - y) What is dy/dx at x = 1 equal to ?View question
Q.5803·Miscellaneous·2019·EasyWhich one of the following is the differential equation that represents the family of curves y = 1 / (2x² - c) where c is an arbitrary constant ?View question
Q.5804·Miscellaneous·2019·EasyLet f(x) = x², g(x) = tan x and h(x) = ln x. What is equal to ?View question
Q.5805·Miscellaneous·2019·EasyWhat is tan25°tan15° + tan15°tan50° + tan25°tan50° equal to?View question
Q.5806·Miscellaneous·2019·EasyTwo cards are chosen at random from a deck of 52 playing cards. What is the probability that both of them have the same value?View question
Q.5807·Miscellaneous·2019·EasyWhich one of the following Union Territories of India is the smallest in terms of geographical area?View question
Q.5808·Miscellaneous·2019·EasyWhich one of the following can be said to be essentially related to 'Polar Front Theory'?View question
Q.5809·Miscellaneous·2019·EasyIn the Manusmriti which form of marriage results from the "Voluntary union of a maiden and her lover"?View question
Q.5810·Miscellaneous·2019·EasyConsider the following statements: 1. cosθ + secθ can never be equal to 1.5. 2. tanθ + cotθ can never be less than 2. Which of the above statements is/are correct?View question
Q.5811·Miscellaneous·2019·EasyLet S = {2, 4, 6, 8, ........... 20} . What is the maximum number of subsets does S have?View question
Q.5812·Miscellaneous·2019·EasyIf 3rd, 8th and 13th terms of a GP are p, q and r respectively, then which one of the following is correct?View question
Q.5814·Miscellaneous·2019·EasyWhat is C(47, 4) + C(51, 3) + C(50, 3) + C(49, 3) + C(48, 3) + C(47, 3) equal to?View question