Mathematics questions for CBSE XII

Let A = {1, 2, 3}. The number of equivalence relations containing the pair (1, 2) is:

If A is a square matrix of order 3 such that |A| = 4, then the value of |adj A| is:

If A is a 3x3 non-singular matrix such that A^2 = 3A, then the value of |A| is:

The function f(x) = x^3 - 3x^2 + 3x - 100 is strictly increasing on:

The value of int e^x * (1/x - 1/x^2) dx is:

The integrating factor of the differential equation x * (dy/dx) - y = 2x^2 is:

The area of the parallelogram whose adjacent sides are determined by the vectors a = i - j + 3k and b = 2i - 7j + k is:

In an LPP, the objective function Z = ax + by is always a: