CBSE 12 Maths Question Paper-2023 Set-3

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

The value of ∫₀^(π/2) (sin x-cos x)/(1+sin x cos x) dx is:

If the corner points of the feasible region for a linear programming problem are (0, 0), (2, 0), (1, 2) and (0, 1), then the maximum value of the objective function Z = 4x+5y is:

The two vectors a and b are collinear, if:

The differential equation d²y/dx²+y=0 is a:

The value of b for which the vectors -i+2j+k and bi+2j+k are perpendicular is:

The direction cosines of a line are , then the value of k is:

A problem is given to three students A, B and C whose probabilities of solving it are 1/2, 1/3 and 1/4 respectively. The probability that the problem is solved is:

The function f(x) = cos x is strictly decreasing in the interval:

The general solution of the differential equation x dy - y dx = 0 is:

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

The value of ∫₀^(π/2) log(tan x) dx is:

If d/dx f(x)=2x+3/x and f(1)=1, then f(x) is:

The order of the differential equation sin x + cos(dy/dx) = y² is:

The degree of the differential equation sin x + cos(dy/dx) = y² is:

If the angle between vectors a and b is π/3 and |a x b|=3√3, then the value of a.b is:

The range of the function f(x) = |x-1|/ (x-1) is:

A random variable X has the following probability distribution: X: 0 1 2 3 P(X): 0.1 0.3 0.2 0.4 The mean of the distribution is:

If A = [cos α -sin α; sin α cos α], then A+A' = I, if the value of α is:

The order and degree of the differential equation [1+(dy/dx)²]^(3/2) = d²y/dx² are respectively: