CBSE 12 Maths Question Paper-2023 Set-1

If for a square matrix A, A²-3A+I=O and A⁻¹=xA+yI, then the value of x+y is:

If |A|=2, where A is a 2×2 matrix, then |4A⁻¹| equals:

Let A be a 3×3 matrix such that |adjA|=64. Then |A| is equal to:

If A=[3 4; 5 2] and 2A+B is a null matrix, then B is equal to:

If d/dx(f(x)) = log x then f(x) is equal to:

∫₀^(π/6)sec²(x-π/6)dx is equal to:

The sum of the order and the degree of the differential equation d²y/dx²+(dy/dx)³=siny is:

The value of p for which the vectors 2i^+pj^+k^ and -4i^-6j^+26k^ are perpendicular is:

∫(1+tanx)/(1-tanx)dx is equal to:

What is the value of b if the vector i^-bj^+k^ makes equal angles with the coordinate axes?

If a^+b^=i^ and a^=2i^-2j^+2k^, then |b^| equals:

The direction cosines of a line perpendicular to both the x-axis and z-axis are:

If P(A/B) = 0.3, P(A) = 0.4 and P(B) = 0.8, then P(B/A) equals:

The direction ratios of a line parallel to z-axis are:

Ashima can hit a target 2 out of 3 times. She tried to hit the target twice. The probability that she missed the target exactly once is:

The function f(x) = |x|x, at x = 0 is:

If A=[0 1; -1 0] and (3I+4A)(3I-4A)=x²I, then the value/s of x is/are:

The general solution of the differential equation x dy-(1+x²)dx=dx is:

If f(x)=a(x-cosx) is a strictly decreasing function in R, then 'a' lies in which of the following?