List of top Mathematics Questions

If A=(2, 3), B = (-1, 0), C = (4, 6) then area of the parallelogram ABCD is:

The value of tan(cos^-1x) is:

Which of the following is a correct statement ?

If \(A= \begin{bmatrix}1&√3&0 \\-√3&1&0 \\ 0&0&2 \end{bmatrix}\) and \(B=\begin{bmatrix}√3&1&0 \\-1&√3&0 \\ 0&0&2 \end{bmatrix}\) then AB is equal to :

Domain of function \(f(x) = cos^{-1}\sqrt {2x-1}\) is

The domain of the function f(x) = log \((x^2-4)\) is:

For real numbers a and b, define aRb if b-a+√5 is an irrational number. Then the relation R is:

For the problem max Z = ax + by, x≥0, y ≥0, which of the following is NOT a valid constraint to make it a linear programming problem?

The maximum value of Z = 3x + 4y subject to constraint x + y ≤6, x, y ≥ 0 is:

If a discrete random variable X has the following probability distribution:

then c is:

A discrete random variable X has the following probability distribution:

X	1	2	3	4	5	6
P(X)	\(\frac{2}{k}\)	\(\frac{4}{k}\)	\(\frac{1}{k}\)	\(\frac{2}{k}\)	\(\frac{3}{k}\)	\(\frac{5}{k}\)

The value of k is:

The equation of the curve whose slope is given by \(\frac{dy}{dx}=\frac{4x}{y}\), x>0,y>0 and which passes through the point (2, 2) is: 

The sum of the order and degree of differential equation \(2x^3\left(\frac{d^2y}{dx^2}\right)^4 + \frac{d^3y}{dx^3}+y=0\) is :

Area bounded by y=|x-5| and x-axis between x = 2; and x = 4 is:

The value of \(∫(5x-2)^3\) dx is:

If \(f(x)=-3x^2\), then f(x) is:

The slope of normal to the curve \(y = 3x^2-6x\) at x = 0 is:

If A is a square matrix of order 3 such that |A|= 2, then the value of |adj(adj A)| is:

The area of a triangle with vertices (0, -3), (0, 3) and (k, 0) is 27 sq.units. The value of k is:

If \(\begin{bmatrix} 4x & 5x-7 \\[0.3em] 4x & 2x+y\end{bmatrix}\)=\(\begin{bmatrix} x+6 & y \\[0.3em] 7y-13 & 7\end{bmatrix}\) then the value of 2x + y is:

If A = \(\begin{bmatrix} 2 & 1 \\[0.3em] 1 & 4 \\[0.3em] -1 & 6 \\[0.3em] 0&7 \end{bmatrix}\) and B= \(\begin{bmatrix} 1 & 2&3&0 \\[0.3em] 2 & -1 & 6&7\end{bmatrix}\) then

The equation \(r^2=cos^2(\theta-\frac{\pi}{3})=2\) represents

The value of \(\begin{vmatrix}     \sin^2 14 \degree & \sin^2 66\degree & \tan 135\degree \\     \sin^2 66\degree & \tan 135\degree &     \sin^2 14 \degree \\     \tan 135\degree & \sin^2 14 \degree & \sin^2 66\degree \end{vmatrix}\)

Consider the following statements (A) and (B): \[ \text{(A):} \quad \int_a^b \frac{d}{dx} \left( f(x) \right) dx = \frac{d}{dx} \int_a^b f(x) dx \] \[ \text{(B):} \quad \frac{d}{dx} \left( \int f(x) dx \right) = f(x) + C \] Which one of the following is True?