List of top Mathematics Questions

The diameter of $16x^2 - 9y^2 = 144$ which is conjugate to $x = 2y $ is

The diagonal of a square is changing at the rate of $0.5\, cm/ sec$. Then the rate of change of area, when the area is $400\, cm^2$, is equal to

The derivative of $cosec^{-1} \left(\frac{1}{2x\sqrt{1-x^{2}}}\right) w.r.t \sqrt{1-x^{2}}$ is

The derivative of $\sin^{-1} x $ w.r.t $\cos^{- 1} \sqrt{1-x^{2}} $ is

The derivative of $\sin \, x^3 $ w.r.t. $\cos \, x^3$ is equal to

The derivative of an even function is always

The corner points of the feasible region determined by the system of linear constraints are $(0,0), (0,40), (20, 40), (60, 20), (60, 0)$. The objective function is $Z = 4x + 3y$. Compare the quantity in Column $A$ and Column $B$

The contrapositive of "if two triangles are congruent then they are similar" is

The contrapositive of statement 'If Chandigarh is capital of Punjab, then Chandigarh is in India' is

The contrapositive of the statement "If 7 is greater than 5, then 8 is greater than 6" is

The condition for the lines $lx+ my + n = 0$ and $ l_1x + m_1y + n_1 = 0$ to be conjugate with respect to the circle $ x^2 + y^2 = r^2 $ is

The complex number $z$ satisfying the condition arg $\frac {z-1} {z+1} = \frac {\pi} {4}$

The complex number $z = x + iy$ which satisfies the equation $| z + 1 | = 1$ lies on

The coefficients of three consecutive terms in the expansion of $(1 + a)^n$ are in the ratio $1 : 7 : 42$. Find $n$.

The coefficient of $x^{-7}$ in the expansion of $\left[ax - \frac{1}{bx^{2}}\right]^{11} $ will be

The coefficient of $x^n$ in the binomial expansion of $(1 - x)^{-2}$ is

The coefficient of $x^n$ in the expansion of ($1 - 2x + 3x^{2} - 4x^{3} + ...$ to $\infty$)$^{-n}$ is

The coefficient of $x^{50}$ in the expansion of $\frac{\left(3-5x\right)}{\left(1-x\right)^{2}}$ equals

The co-efficient of $x^{-12}$ in the expansion of$\left(x+\frac{y}{x^3}\right)^{20}$is

The co-efficient of $x^3$ in the expansion of $(1-x+x^2)^5$ is

The circle $ x^2 + y^2 - 25 = 0$ and $3(x^2 + y^2) - 30x - 40)' + 175 = 0$ touch each other at

The cartesian equation of the line $l$ when it passes through the point $(x_1, y_1, z_1)$ and parallel to the vector $\vec{b}=a\hat{i}+b\hat{j}+c\hat{k}$, is

The bag $'A'$ contains $5$ white and $3$ black balls while the bag $'B'$ contains $4$ white and $7$ black balls. One of the bags is chosen at random and a ball is drawn from it. What is the probability that the ball is white?

The area under the curve $y = | \cos \, x - \sin \, x |, 0 \le x \le \frac{\pi}{2},$ and above x-axis is :

The arithmetic mean of first n odd natural numbers is