Q.12781·Miscellaneous·2013·EasyIf the sum of the roots of a quadratic equation is 3 and the product is 2, then the equation isView question
Q.12782·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.12783·Miscellaneous·2013·EasyThe difference of focal distances of any point on a hyperbola is equal toView question
Q.12784·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.12785·Miscellaneous·2013·EasyWhich one of the following points lies inside a circle of radius 6 and centre at (3, 5) ?View question
Q.12786·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.12787·Miscellaneous·2013·EasyThe shadow of a tower standing on a level plane is found to be 50 m longer when the Sun’s elevation is 30° than when it is 60°. The height of the tower isView question
Q.12788·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.12789·Miscellaneous·2013·EasyA man walks 10 m towards a lamp post and notices that the angle of elevation of the top of the post increases from 30° to 45°. The height of the lamp post isView question
Q.12790·Miscellaneous·2013·EasyIn any triangle ABC, a = 18, b = 24 and c = 30. Then what is sin C equal to ?View question
Q.12792·Miscellaneous·2013·EasyFor what value of k, the equations 3x - y = 8 and 9x - ky = 24 will have infinitely many solutions?View question
Q.12793·Miscellaneous·2013·EasyIf the numbers n - 3, 4n - 2, 5n + 1 are in AP, what is the value of n?View question
Q.12794·Miscellaneous·2013·EasyIf A and B are two non-singular square matrices such that AB = A, then which one of the following is correct?View question
Q.12795·Miscellaneous·2013·EasyWhat is the area of the triangle bounded by the sides x = 0, y = 0 and x + y = 2?View question
Q.12796·Miscellaneous·2013·EasyThe general solution of the differential equation ln(dy/dx) + x = 0 is where c is an arbitrary constant.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·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