CBSE 12 Maths Question Paper-2020 Set-3

If f and g are two functions from R to R defined as f(x) = |x| + x and g(x) = |x| – x, then fog(x) for x < 0 is

The principal value of cot–1 (– 3 ) is

The value of |adj A| for matrix A = [2, -0, 0; 0, 2, -0; 0, 0, 2] is

The maximum value of slope of the curve y = – x³ + 3x² + 12x – 5 is

The distance of the point (2, 3, 4) from the plane r . (3i – 6j + 2k) = – 11 is

The value of p for which p(i + j + k) is a unit vector is

If f(x) = |x| + x and g(x) = |x| - x, then the value of f∘g(x) for x < 0 is

The coordinates of the foot of the perpendicular drawn from the point (2, -1, 4) on the XZ-plane are

The principal value of cos^-1(1/2) is

The value of (2i + 3j + 4k) . (i + 2j + 3k) is

If f(x) = x² + 2x, the derivative of f(x) is

The area of the triangle formed by the points (1, 1), (4, 4), and (5, 1) is

The matrix of coefficients for the system of linear equations 2x + 3y = 5 and 4x - y = 1 is

The inverse of the matrix [1 2; 3 4] is

The probability of drawing a red ball from a bag containing 3 red and 5 blue balls is

The solution to the equation sin(x) = 1/2 is

The equation of the line passing through (1, 1) and (3, 3) is

The length of the hypotenuse of a right triangle with legs of length 3 and 4 is

The sum of the roots of the quadratic equation x² - 5x + 6 = 0 is

The area of a circle with radius 4 is

If the function f(x) = x² + 2x + 1, then the derivative of f(x) is

If the function y = 2x + 3, then the slope of the line is

The probability of rolling a 3 on a fair six-sided die is

If f(x) = 3x + 4, then f'(x) is

The volume of a sphere with radius 5 is

The sum of the interior angles of a triangle is always

The determinant of the matrix [1 2; 3 4] is

The product of 2 matrices A = [1 2; 3 4] and B = [5 6; 7 8] is

The sum of the first n natural numbers is given by

The value of the integral ∫(2x + 1) dx is