CBSE 12 Maths Question Paper-2024 Set-2

If y=cos⁻¹(eˣ), then dy/dx is:

The degree and order of differential equation y''²+log(y')=x⁵ respectively are:

The unit vector perpendicular to both vectors î+k̂ and î-k̂ is:

Direction ratios of a vector parallel to line (x-1)/2=-y=(2z+1)/6 are:

If for the matrix A = [[tan x, 1], [-1, tan x]], A + A' = 2√3I, then the value of x∈[0,π/2] is:

If a line makes an angle of 30° with the positive direction of x-axis, 120° with the positive direction of y-axis, then the angle which it makes with the positive direction of z-axis is:

If the sum of all the elements of a 3x3 scalar matrix is 9, then the product of all its elements is:

Let f:R+ -> [-5,∞) be defined as f(x)=9x²+6x-5, where R+ is the set of all non-negative real numbers. Then, f is:

If |[-a, b, c], [a, -b, c], [a, b, -c]| = kabc, then the value of k is:

The number of points of discontinuity of f(x) = { |x|+3, if x≤-3; -2x, if -3

The function f(x)=x³-3x²+12x-18 is:

Anti-derivative of √1+sin 2x, x∈[0,π/4] is:

The differential equation dy/dx=F(x,y) will not be a homogeneous differential equation, if F(x,y) is:

For any two vectors a⃗ and b⃗, which of the following statements is always true?

The coordinates of the foot of the perpendicular drawn from the point (0, 1, 2) on the x-axis are given by:

The common region determined by all the constraints of a linear programming problem is called:

Let E be an event of a sample space S of an experiment, then P(S|E) =

If A = [aᵢⱼ] be a 3x3 matrix, where aᵢⱼ = i – 3j, then which of the following is false?

Assertion (A): For any symmetric matrix A, B'AB is a skew-symmetric matrix. Reason (R): A square matrix P is skew-symmetric if P' = -P. Choose the correct option:

Assertion (A): (b⃗ . c⃗) a⃗ is a scalar quantity. Reason (R): Dot product of two vectors is a scalar quantity. Choose the correct option: