CBSE 12 Maths Question Paper-2020 Set-1

The matrix is not invertible for

The number of arbitrary constants in the particular solution of a differential equation of second order is (are)

The principal value of cos^(-1) (cos(6π/7)) is

The corner points of the feasible region determined by the system of linear inequalities are (0, 0), (4, 0), (2, 4) and (0, 5). If the maximum value of z = ax + by, where a, b > 0 occurs at both (2, 4) and (4, 0), then

If A and B are two independent events with P(A) = 1/3 and P(B) = 1/4, then P(B'|A) is equal to

If A is a square matrix such that A² = A, then (I - A)³ + A is equal to

The image of the point (2, -1, 5) in the plane r . i = 0 is

If the projection of a = i - 2j + 3k on b = 2i + λk is zero, then the value of λ is

The vector equation of the line passing through the point (-1, 5, 4) and perpendicular to the plane z = 0 is

If A is a 3x3 matrix and |A| = -2, then the value of |A(adj A)| is

The position vectors of two points A and B are OA = 2i - j - k and OB = 2i - j + 2k, respectively. The position vector of a point P which divides the line segment joining A and B in the ratio 2:1 is

The equation of the normal to the curve y² = 8x at the origin is

The radius of a circle is increasing at the uniform rate of 3 cm/sec. At the instant when the radius of the circle is 2 cm, its area increases at the rate of _______ cm²/s.

If A is a matrix of order 3x2, then the order of the matrix A' is

The greatest integer function defined by f(x) = [x], 0 < x < 2 is not differentiable at x =

If A is a square matrix of order 3 and |A| = 5, then the value of |2A'| is

The number of arbitrary constants in the particular solution of a differential equation of second order is (are)

Evaluate: ∫ (1 - x²) dx from 1 to 3

Evaluate: ∫ 2x4 - 9 dx from 1 to 3

Find: ∫ dx / (1 + x²) from 0 to 2

Find the solution to sin^-1 (2x / √(2x-1)) = 2cos^-1(x), for 1/2 ≤ x ≤ 1

Find the value of the definite integral: ∫ x² tan(x) dx from 0 to π/2

Evaluate: ∫ (x³ - 3x² - 4x) dx from 0 to 2

Find the probability of drawing two cards at random, one red and one black, from a pack of 52 cards without replacement

If A is a matrix and |A| = 5, find |A²|

Evaluate: ∫ dx / (1 - x²) from 0 to 2

Evaluate: ∫ x log(x) dx from 0 to 1

Evaluate: ∫ (x² - 4x + 3) dx from 0 to 2

If A is a 2x2 matrix, find the adjoint of A where A = [2, 3; 4, 5]

The value of the integral ∫ (x² - 4x) dx from 0 to 3 is