List of top Mathematics Questions asked in CBSE CLASS XII

If \( f(x) \) is an odd function, then: \[ \int_{-\pi/2}^{\pi/2} f(x) \cos^3 x \, dx \, \text{equals:} \]
If a matrix has 36 elements, the number of possible orders it can have, is:
The distance of point \( P(a, b, c) \) from the y-axis is:
If matrices \( A \) and \( B \) are of order \( 1 \times 3 \) and \( 3 \times 1 \) respectively, then the order of \( A'B' \) is:
The number of corner points of the feasible region determined by constraints \( x \geq 0, y \geq 0, x + y \geq 4 \) is:
If \( x = at, y = \frac{a}{t} \), then \( \frac{dy}{dx} \) is:
The solution of the differential equation \( \frac{dy}{dx} = \frac{1}{\log y} \) is:
The interval in which \(y=x^2e^{-x}\) is increasing is
Let f: R→R be defined as f(x) = 3x. Choose the correct answer.
If a matrix has 36 elements, the number of possible orders it can have, is:
A function \( f : \mathbb{R}_+ \to \mathbb{R} \) (where \( \mathbb{R}_+ \) is the set of all non-negative real numbers) defined by \( f(x) = 4x + 3 \) is:
Find: \[ \int \frac{x^2}{(x^2 + 4)(x^2 + 9)} \, dx. \]
If \( P(A | B) = P(A' | B) \), then which of the following statements is true?
Find the integrals of the function: \(cos\, 2x\, cos\, 4x\, cos\, 6x\)

If A=\(\begin{bmatrix}2&-1&1\\-1&2&-1\\1&-1&2\end{bmatrix}\)verify that A3-6A2+9A-4 I=0 and hence find A-1 

The total revenue in Rupees received from the sale of \(x\) units of a product is given by \(R(x)=13x^2+26x+15\).The marginal revenue, when \(x=7\) is
Find the following integral: \(\int (ax^2+bx+c)dx\)

Solve system of linear equations, using matrix method.
 x-y+2z=7
 3x+4y-5z=-5
 2x-y+3z=12

By using the properties of definite integrals, evaluate the integral: \(∫_0^π log(1+cosx)dx\)

 If \(\frac{d}{dx}f(x) = 4x^3-\frac{3}{x^4}\) such that \(f(2)=0\), then \(f(x)\) is

2, b, c are in A.P. and the range of determinant $\begin{vmatrix}1&1&1\\ 2&b&c\\ 4&b^{2}&c^{2}\end{vmatrix}$ is [2, 16]. Then find range of c is

Show that the relation R in the set R of real numbers, defined as
R = {(a, b): a ≤ b2 } is neither reflexive nor symmetric nor transitive.

If f (x) = 3x2+15x+5, then the approximate value of f (3.02) is

The cost of 4 kg onion,3 kg wheat and 2kg rice is Rs 60.The cost of 2 kg onion,4 kg wheat and 6 kg rice is Rs 90. The cost of 6 kg onion 2 kg wheat and 3 kg rice is Rs 70. Find cost of each item per kg by matrix method.

Evaluate\(\begin{vmatrix} 1 & x & y\\ 1 & x+y & y\\1&x&x+y \end{vmatrix}\)