CBSE 12 Maths Question Paper-2021 Term-1

sin(π/3 − sin^(-1)(−1/2)) is equal to:

The value of k (k < 0) for which the function f(x) is continuous at x = 0 is:

If A = [aij] is a square matrix of order 2 such that aij = 1 when i ≠ j and aij = 0 when i = j, then A^2 is:

Value of k for which A = [k 8; 4 2k] is a singular matrix is:

Find the intervals in which the function f(x) = x^2 − 4x + 6 is strictly increasing:

Given that A is a square matrix of order 3 and |A| = -4, then |adj A| is equal to:

A relation R in set A = {1,2,3} is defined as R = {(1, 1), (1, 2), (2, 2), (3, 3)}. Which of the following ordered pair in R shall be removed to make it an equivalence relation in A?

If [2a + b, a - 2b; 5c - d, 4c + 3d] = [4 −3; 11 24], then value of a + b – c + 2d is:

The point at which the normal to the curve y = x + 1/x, x > 0 is perpendicular to the line 3x − 4y − 7 = 0 is:

sin(tan^(-1)(x)), where |x| < 1, is equal to:

Let the relation R in the set A = {x ∈ Z : 0 ≤ x ≤ 12}, given by R = {(a, b) : |a – b| is a multiple of 4}. Then the equivalence class containing 1 is:

If e^x + e^y = e^(x+y), then dy/dx is:

Given that matrices A and B are of order 3×n and m×5 respectively, then the order of matrix C = 5A + 3B is:

If y = 5 cos(x) − 3 sin(x), then d²y/dx² is equal to:

For matrix A = [2 5; -11 7], (adjA)′ is equal to:

The points on the curve x²/9 + y²/16 = 1 at which the tangents are parallel to the y-axis are:

Given that A = [aij] is a square matrix of order 3×3 and |A| = −7, then the value of ∑ ai²Aij for i=1 to 3 is:

If y = log(cos(ex)), then dy/dx is:

Based on the given shaded region as the feasible region in the graph, at which point(s) is the objective function Z = 3x + 9y maximum?

The least value of the function f(x) = 2cos(x) + x in the closed interval [0, π/2] is:

The function f: R ⟶ R defined as f(x) = x³ is:

If x = a sec(θ), y = b tan(θ), then d²y/dx² at θ = π/6 is:

In the given graph, the feasible region for a LPP is shaded. The objective function Z = 2x − 3y, will be minimum at:

The derivative of sin^(-1)(2x√(1 − x²)) w.r.t sin^(-1)(x), −1/√2 < x < 1/√2, is:

If A = [1 −1 0; 2 3 4; 0 1 2] and B = [2 2 −4; −4 2 −4; 2 −1 5], then:

The real function f(x) = 2x³ − 3x² − 36x + 7 is:

Simplest form of tan^(-1) (√(1 + cos(x)) + √(1 − cos(x)) / √(1 + cos(x)) − √(1 − cos(x))) , π < x < 3π/2 is:

Given that A is a non-singular matrix of order 3 such that A² = 2A, then value of |2A| is:

The value of b for which the function f(x) = x + cos(x) + b is strictly decreasing over R is:

Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b > 6}, then: