Q.12781·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.12782·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.12784·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.12785·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.12786·Miscellaneous·2013·EasyWhat is the distance between the planes x - 2y + z - 1 = 0 and -3x + 6y - 3z + 2 = 0?View question
Q.12787·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.12789·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.12790·Miscellaneous·2013·EasyWhat is the area of the triangle whose vertices are (3, 0), (0, 4) and (3, 4) ?View question
Q.12791·Miscellaneous·2013·EasyThe value of the determinant | m n p | | p m n | | n p m |View question
Q.12792·Miscellaneous·2013·EasyThe difference of focal distances of any point on a hyperbola is equal toView question
Q.12793·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.12795·Miscellaneous·2013·EasyIf D is a determinant of order 3 and D' is the determinant obtained by replacing the elements of D by their cofactors, then which one of the following is correct?View question
Q.12796·Miscellaneous·2013·EasyConsider the following statements: 1. A matrix is not a number. 2. Two determinants of different orders may have the same value. Which of the above statements is/are correct?View question
Q.12797·Miscellaneous·2013·EasyWhich one of the following points lies inside a circle of radius 6 and centre at (3, 5) ?View question