Q.13753·Miscellaneous·2012·EasyIf x^m + y^m = 1 such that dy/dx = -x/y, then what should be the value of m ?View question
Q.13754·Miscellaneous·2012·EasyThe radius of a circle is uniformly increasing at the rate of 3 cm/s. What is the rate of increase in area, when the radius is 10 cm ?View question
Q.13756·Miscellaneous·2012·EasyConsider the following statements : 1.If y = ln(sec x + tan x), then dy/dx = sec x. 2.If y = ln(cosec x - cot x), then dy/dx = cosec x. Which of the above is/are correct ?View question
Q.13757·Miscellaneous·2012·EasyIf f(x) = 2^(sin x), then what is the derivative of f(x) ?View question
Q.13758·Miscellaneous·2012·EasyThe function f(x) = x^3 - 3x^2 + 6 is an increasing function for :View question
Q.13759·Miscellaneous·2012·EasyConsider the following statements : 1.If f(x) = x^3 and g(y) = y^3 then f = g. 2.Identity function is not always a bijection. Which of the above statements is/are correct ?View question
Q.13760·Miscellaneous·2012·EasyIf y = ln(e^x + e^-x), then what is dy/dx at x = 0 equal to ?View question
Q.13762·Miscellaneous·2012·EasyWhat is the area of the region bounded by the lines y = x, y = 0 and x = 4 ?View question
Q.13763·Miscellaneous·2012·EasyWhat is the degree of the differential equation d^3y/dx^3 + 2(d^2y/dx^2)^2 - dy/dx + y = 0 ?View question
Q.13764·Miscellaneous·2012·EasyConsider a differential equation of order m and degree n. Which one of the following pairs is not feasible ?View question
Q.13765·Miscellaneous·2012·EasyThe differential equation y dy/dx + x = a where ‘a’ is any constant represents :View question
Q.13766·Miscellaneous·2012·EasyFor the differential equation (dy/dx)^2 - x(dy/dx) + y = 0, which one of the following is not its solution ?View question
Q.13767·Miscellaneous·2012·EasyWhat is the general solution of the differential equation x^2 dy + y^2 dx = 0 ?View question
Q.13768·Miscellaneous·2012·EasyWhat is the general solution of the differential equation e^x tan y dx + (1 - e^x) sec^2 y dy = 0 ?View question
Q.13769·Miscellaneous·2012·EasyEFGH is a rhombus such that the angle EFG is 60°. The magnitude of vectors FH and (m EG) are equal where m is a scalar. What is the value of m ?View question
Q.13770·Miscellaneous·2012·EasyConsider the following : 1. 4i×3i = 0 2. (4i/3i) = 4/3 Which of the above is/are correct ?View question