Q.5797·Miscellaneous·2019·EasyA curve y = me^mx where m > 0 intersects y-axis at a point P. How much angle does the tangent at P make with y-axis ?View question
Q.5798·Miscellaneous·2019·EasyA curve y = me^mx where m > 0 intersects y-axis at a point P. What is the equation of tangent to the curve at P ?View question
Q.5799·Miscellaneous·2019·EasyLet f(x) = x², g(x) = tan x and h(x) = ln x. What is equal to ?View question
Q.5800·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.5801·Miscellaneous·2019·EasyConsider the equation xʸ = e^(x - y) What is dy/dx at x = 1 equal to ?View question
Q.5802·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.5803·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.5804·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.5805·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.5806·Miscellaneous·2019·EasyConsider the function f(x) = 3x⁴ - 20x³ - 12x² + 288x + 1 In which one of the following intervals is the function decreasing ?View question
Q.5807·Miscellaneous·2019·EasyLet f(x) = x² + 2x – 5 and g(x) = 5x + 30 What are the roots of the equation g[f(x)] = 0 ?View question
Q.5808·Miscellaneous·2019·EasyLet f(x) = x² + 2x – 5 and g(x) = 5x + 30 Consider the following statements : 1. f[g(x)] is a polynomial of degree 3. 2. g[f(x)] is a polynomial of degree 2. Which of the above statements is/are correct ?View question
Q.5809·Miscellaneous·2019·EasyLet f(x) = x² + 2x – 5 and g(x) = 5x + 30 If h(x) = 5f(x) – xg(x), then what is the derivative of h(x) ?View question
Q.5810·Miscellaneous·2019·EasyFor what value of k is the function ⎧ 2x + 1/4 , x < 0 f(x) = ⎨ k , x = 0 continuous ? ⎩ (x + 1/2)^2 , x > 0View question
Q.5811·Miscellaneous·2019·EasyWhat is tan25°tan15° + tan15°tan50° + tan25°tan50° equal to?View question
Q.5812·Miscellaneous·2019·EasyIf P(n, r) = 2520 and C(n, r) = 21 , then what is the value of C(n + 1, r + 1) ?View question
Q.5813·Miscellaneous·2019·EasyWhich one of the following statements regarding Cholera is correct?View question
Q.5814·Miscellaneous·2019·EasyIn a school, 50% students play cricket and 40% play football. If 10% of students play both the games, then what percent of students play neither cricket nor football?View question