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List of top Mathematics Questions

The line of intersection of the planes $3x-6y-2z-15=0$ and $2x=y-2z-5=0$ is ?

The plane that is perpendicular to the planes $x-y+2z-4=0$ and $2x-2y+z=0$ and passes through $ (1,-2,1)$ is

The angle between the lines, whose direction cosines are proportional to 4,√3-1,-√3-1 and 4,-√3-1,√3-1, is

If $θ1,θ2, θ3$ are the angles made by a line with the positive directions of the $x,y,z$ axes, then the value of $\cos 2\theta_1 + \cos 2\theta_2 + \cos 2\theta_3$ is

If the $XZ$-plane divides the straight line joining the points $(2,4,7)$ and $(3,-5,8)$ in the ratio $α:1$,then the value of $α$ is ?

Given the points $A(6,-7,0),B(16,-19,-4),C(0,3,-6)$ and $D(2,-5,10)$,the point of intersection of the lines $AB$ and $CD$ is

Suppose a and b are lengths of major and minor axes of an ellipse that passes through the points (4,3) and (-1,4). If the major axis of the ellipse lies along the x-axis , then the value of $\frac{1}{a^2}+\frac{16}{b^2}$ is

For the circle $C=x^2+y^2-6x+2y=0$,which of the following is incorrect:

The equation of the circle that can be inscribed in the square formed by $x^2-8x+12=0$ and $y^2-14y+45=0$ is ?

Suppose the point $P(1,1)$ is translated to $Q$ in the direction of y = 2x. If $PQ = 1$,then Qis

Suppose the line mx-y+ 5m-4=0 meets the lines x+3y+2=0, 2x+3y+4=0 and x-y-5=0 at the points R. S and T, respectively. If R, S and T are at distances r1, r2 and r3, respectively, from (-5,-4) and $(\frac{15}{r_1})^2+(\frac{10}{r_2})^2=(\frac{6}{r_3})^2$ then the value of m is

A point moves in such a way that it remains equidistant from each of the lines $3x±2y= 5$. Then the path along which the point moves is?

If the two sides AB and AC of a triangle are along $4x-3y-17 = 0$ and $3x+4y-19= 0$, then the equation of the bisector of the angle between AB and AC is ?

A thin particle moves from $(0,1)$ and gets reflected upon hitting the x-axis at $(√3,0)$. Then the slope of the reflected line is ?

The line perpendicular to $4x-5y+1=0$ and passing through the point of intersection of the straight line $x+2y-10=0$ and $2x+y+5=0$ is ?

If a straight line in XY plane is passes through $(-a,-b),(a,b),(k,k),(a^2,a^3)$ for some real number $a,b$ and $k$,where $a≠0$,then which of the following option is correct?

$∫^1_0\dfrac{x}{x^2-4}dx=?$

If $ 8 + 3x < |8 + 3x|, x \in \mathbb{R} $, then $ x $ lies in :

The number of common tangents, to the circles $ x^2 + y^2 - 18x - 15y + 131 = 0 $ and $ x^2 + y^2 - 6x - 6y - 7 = 0 $, is

Let A = {x, y, z, u} and B = {a, b}. A function f : A → B is selected randomly. The probability that the function is an onto function is

If $\sin^{-1}(\frac{2a}{1+a^2})+\cos^{-1}(\frac{1-a^2}{1+a^2})=\tan^{-1}(\frac{2x}{1-x^2})$ where a, x ∈ (0, 1) then the value of x is

The value of tan10º tan15º tan75º tan80º is

Let a circle $C_1$ be obtained on rolling the circle $x^2+y^2-4 x-6 y+11=0$ upwards 4 units on the tangent $T$ to it at the point $(3,2)$ Let $C_2$ be the image of $C_1$ in $T$ Let $A$ and $B$ be the centers of circles $C_1$ and $C_2$ respectively, and $M$ and $N$ be respectively the feet of perpendiculars drawn from $A$ and $B$ on the $x$-axis. Then the area of the trapezium AMNB is:

The probability that a card drawn from a pack of 52 cards will be a diamond or a king is:

Find the mean deviation about the mean for the data: $ 4, 7, 8, 9, 10, 12, 13, 17 $