Q.12781·Miscellaneous·2013·EasyThe difference of focal distances of any point on a hyperbola is equal toView question
Q.12782·Miscellaneous·2013·EasyWhat is the equation of a straight line which passes through (3, 4) and the sum of whose x and y intercepts is 14 ?View question
Q.12783·Miscellaneous·2013·EasyWhat is the area of the triangle whose vertices are (3, 0), (0, 4) and (3, 4) ?View question
Q.12785·Miscellaneous·2013·EasyThe degree and order respectively of the differential equation dy/dx = 1/(x + y + 1) areView question
Q.12786·Miscellaneous·2013·EasyA straight line passes through the points (5, 0) and (0, 3). The length of the perpendicular from the point (4, 4) on the line isView question
Q.12787·Miscellaneous·2013·EasyWhich one of the following points lies inside a circle of radius 6 and centre at (3, 5) ?View question
Q.12788·Miscellaneous·2013·EasyThe general solution of the differential equation x(dy/dx) + y = 0 is where c is an arbitrary constant.View question
Q.12789·Miscellaneous·2013·EasyThe angle of elevation of the top of a tower of height H from the foot of another tower in the same plane is 60° and the angle of elevation of the top of the second tower from the foot of the first tower is 30°. If h is the height of the other tower, then which one of the following is correct ?View question
Q.12791·Miscellaneous·2013·EasyWhat is the area of the triangle whose vertices are (0, 0, 0), (1, 2, 3) and (-3, -2, 1)?View question
Q.12792·Miscellaneous·2013·EasyWhat is the distance between the planes x - 2y + z - 1 = 0 and -3x + 6y - 3z + 2 = 0?View question
Q.12793·Miscellaneous·2013·EasyIf a line makes 30° with the positive direction of x-axis, angle β with the positive direction of y-axis and angle γ with the positive direction of z-axis, then what is cos²β + cos²γ equal to?View question
Q.12794·Miscellaneous·2013·EasyConsider the following statements in respect of a function f(x): 1. f(x) is continuous at x = a iff limₓ→ₐ f(x) exists. 2. If f(x) is continuous at a point, then 1/f(x) is also continuous at that point. Which of the above statements is/are correct?View question
Q.12796·Miscellaneous·2013·EasyConsider the following statements: 1. limₓ→₀ (1/x) does not exist. 2. limₓ→₀ (sin x / x) exists. Which of the above statements is/are correct?View question
Q.12797·Miscellaneous·2013·EasyConsider the following statements: 1. The derivative where the function attains maxima or minima must be zero. 2. If a function is differentiable at a point, then it must be continuous at that point. Which of the above statements is/are correct?View question
Q.12798·Miscellaneous·2013·EasyWhat is the area of the triangle bounded by the sides x = 0, y = 0 and x + y = 2?View question