List of top Mathematics Questions

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

The area of the ellipse $\frac{x^2}{9} + \frac{y^2}{4} = 1 $ is :

The area of the region bounded by the curves y =| x - 2 |, x = 1, x = 3 and the x-axis is

The area of the parallelogram formed by the lines $ax+by+c_1=0, \: ax+by+c_2=0, \: px+qy+r_1=0, \: px+qy+r_2=0$

The area bounded by the line $y - x$ , x-axis and lines $x = -1$ to $x = 2$, is

The area bounded by the parabola $y^2 = 4x$ and the line $2x - 3y + 4 = 0$, in square unit, is

The area in the first quadrant bounded by $y = 4x^2$ , x = 0, y =1 and y = 4 is

The area bounded by the curve $y = x^2$, the normal at (1, 1) and the x-axis is :

The area bounded by the curves y = lnx, y = ln |x|,y = | ln x | and y = | ln |x| | is

The area above the x-axis enclosed by the curves $x^2-y^2 = 0$ and $x^2 + y - 2 = 0$ is

The area bounded by the curve $x = 3y^{2} - 9$ and the line $x = 0$, $y = 0$ and $y = 1$ is