CBSE 12 Maths Question Paper-2023 Set-4

If A is a 3 × 4 matrix and B is a matrix such that A'B and AB' are both defined, then the order of the matrix B is:

If the area of a triangle with vertices (2, -6) (5, 4) and (k, 4) is 35 sq units, then k is:

If f(x)=2|x|+3|sin x|+6 then the right hand derivative of f(x) at x=0 is:

If x[1, 2] + y[2, 5] = [4, 9], then:

If a matrix A=[1 2 3], then the matrix AA' (where A' is the transpose of A) is:

The product [a b, -b a][a -b, b a] is equal to:

Distance of the point (p, q, r) from y-axis is :

The solution set of the inequation 3x+5y<7 is:

If ∫(from 0 to a) 3x² dx = 8, then the value of 'a' is:

The sine of the angle between the vectors →a = 3î + ĵ + 2k̂ and →b = î + ĵ + 2k̂ is:

The order and degree (if defined) of the differential equation, (d²y/dx²)²+(dy/dx)³ = x sin(dy/dx) respectively are:

∫ e^(5 log x) dx is equal to:

A unit vector along the vector 4î-3k̂ is:

Which of the following points satisfies both the inequations 2x+y ≤ 10 and x+2y ≥ 8?

If y=sin²(x³), then dy/dx is equal to :

The point (x, y, 0) on the xy-plane divides the line segment joining the points (1, 2, 3) and (3, 2, 1) in the ratio :

For independent events E and F, if P(E)=0·3 and P(E U F)=0·5, then P(E/F)-P(F/E) is equal to :

The integrating factor for solving the differential equation x dy/dx - y = 2x² is:

If [1 1 1, 0 1 1, 0 0 1][x, y, z] = [6, 3, 2], then the value of (2x+y-z) is:

If A is a square matrix and A²=A, then (I+A)²-3A is equal to:

The value of the determinant [2 7 1, 1 1 1, 10 8 1] is:

The function f(x)=|x| is:

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

∫(from 0 to 4) (e^(2x)+x)dx is equal to:

If θ is the angle between two vectors →a and →b, then →a · →b ≥ 0 only when:

The number of solutions of the differential equation dy/dx = (y+1)/(x-1) when y(1)=2 is:

If the direction cosines of a line are (1/a, 1/a, 1/a) then: