CBSE 12 Maths Question Paper-2020 Set-2

The area of a triangle formed by vertices O, A and B, where OA = i + 2j + 3k and OB = – 3i – 2j + k is

The domain of the function f(x) = sin–1 (2x) is

If f(x) = x²e^–x, then the function is strictly increasing in the interval

The value of k so that f(x) = x²e^–x is continuous at x = 0 is

The distance between the parallel planes 2x + y – 2z – 6 = 0 and 4x + 2y – 4z = 0 is

The coordinates of the foot of the perpendicular from the point (2, –3, 4) on the y-axis are

The relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1), (1, 1)} is

If A is a non-singular square matrix of order 3 such that A² = 3A, then the value of |A| is

The area of a triangle formed by vertices O, A, and B, where OA = i + 2j + 3k and OB = –3i – 2j + k is

The coordinates of the foot of the perpendicular drawn from the point (2, – 3, 4) on the y-axis are

If the radius of the circle is increasing at the rate of 0.5 cm/s, then the rate of increase of its circumference is

If 2x + y – 2z – 6 = 0 and 4x + 2y – 4z = 0, then the distance between the planes is

The corner points of the feasible region of an LPP are (0, 0), (0, 8), (2, 7), (5, 4) and (6, 0). The maximum profit P = 3x + 2y occurs at the point

The range of the principal value branch of the function y = sec–1 x is

The corner points of the feasible region of an LPP are (0, 0), (0, 8), (2, 7), (5, 4), and (6, 0). The maximum profit P = 3x + 2y occurs at the point

Evaluate the integral: ∫ 2 to π/2 x cos(x) dx

Find the coordinates of the point where the line 2z = 4y = 3(1 – x) cuts the xy-plane.

Find the value of k, so that the function f(x) = { x if x < 2, 5x^2 if x ≥ 2 } is continuous at x = 1.

Find the integrating factor of the differential equation x dy/dx = 2x² + y.

Differentiate sec²(x²) with respect to x².

If the line is given by the equation x + 2y = 4, what is the slope?

The differential equation of the curve y = sin(x) is

Which of the following is the correct solution to the equation 3x + 4 = 19?

Find the general solution to the differential equation dy/dx = y/x.

Find the coordinates of the point where the line cuts the xy-plane given by x = 3y + 4z.

Which of the following is true for a function to be one-to-one?