Q.13735·Miscellaneous·2012·EasyWhat is the angle between the lines (x-2)/1 = (y+1)/-2 = (z+2)/1 and (x-1)/1 = (2y+3)/3 = (z+5)/2 ?View question
Q.13736·Miscellaneous·2012·EasyWhat is the equation to the plane through (1, 2, 3) parallel to 3x + 4y - 5z = 0 ?View question
Q.13737·Miscellaneous·2012·EasyWhat are the direction ratios of the line of intersection of the planes x = 3z + 4 and y = 2z - 3 ?View question
Q.13738·Miscellaneous·2012·EasyWhat is the equation to the straight line passing through (a, b, c) and parallel to z-axis ?View question
Q.13739·Miscellaneous·2012·EasyConsider the following : 1.lim x→0 (1/x) exists. 2.lim x→0 e^(1/x) does not exist. Which of the above is/are correct ?View question
Q.13740·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.13741·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.13743·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.13744·Miscellaneous·2012·EasyIf f(x) = 2^(sin x), then what is the derivative of f(x) ?View question
Q.13745·Miscellaneous·2012·EasyThe function f(x) = x^3 - 3x^2 + 6 is an increasing function for :View question
Q.13746·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.13747·Miscellaneous·2012·EasyIf y = ln(e^x + e^-x), then what is dy/dx at x = 0 equal to ?View question
Q.13749·Miscellaneous·2012·EasyWhat is the area of the region bounded by the lines y = x, y = 0 and x = 4 ?View question
Q.13750·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.13751·Miscellaneous·2012·EasyConsider a differential equation of order m and degree n. Which one of the following pairs is not feasible ?View question
Q.13752·Miscellaneous·2012·EasyThe differential equation y dy/dx + x = a where ‘a’ is any constant represents :View question