List of top Mathematics Questions

The number of arbitrary constants in the particular solution of a differential equation of third order are.

The normal chord at a point 't' on the parabola $ y^2 = 4ax$ subtends a right angle at the vertex. Then $t^2$ =

The negation of the compound proposition $p \vee (\sim p \vee q)$ is.

The mirror image of any point on the directrix of $ y^2 = 4(x + 1)$ lies on

The mode of the following items is 0, 1, 6, 7, 2, 3, 7,6,6,2, 6,0,5,6,0

The minimum value of sin x - cos x is

The minimum value of $3cosx + 4sinx + 8$ is

The minimum value of $\sec^2 \, \theta + cosec^2 \, \theta$ is

The median from the table Value ? ? ? ? ? ? 7 ? 8? 9? 10 ? 11 ? 12 ? 13 frequency ? ? 2 ? 1? 5 ? 4 ? ? 6 ? ? 1 ? ? ?3 is

The mean of two samples of size 200 and 300 were found to be 25, 10 respectively. Their standard deviations were 3 and 4 respectively. The variance of combined sample of size 500 is

The matrix $A =\begin{bmatrix}0&1\\ 1&0\end{bmatrix}$ is a

The logically equivalent preposition of $p \Leftrightarrow q$ is

The locus of the vertices of the family of parabola $ 6y = 2a^3x^2 + 3a^2x - 12a $ is

The locus of the point of intersection of lines $x \cos \, \alpha + y \sin \alpha = a$ and $x \sin \alpha - y \cos \alpha = b$ ($\alpha$ is a variable)

The locus of the foot of the perpendicular from the centre of the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2} = 1$ on any tangent is given by $(x^2+y^2) = lx^2+my^2$,where

The locus of the equation $xyz = 0$ is

The lines x + 2y - 5 = 0, 2x - 3y + 4 = 0, 6x + 4y - 13 = 0

The lines $a_1x + b_1y + c_1 = 0$, $a_2x + b_2y + c_2 - 0$ and $a_3x = 0$ are concurrent, if $b_1c_2 - b_2c_1$ is equal to

The line $ y = 2x + c$ is. a tangent to the parabola $ y^2 = 16x$, if c equals

The line $\frac {x} {a} + \frac {y} {b} =1$ touches the curve $y = be^{-x/a}$ at the point

The lengths of the tangent drawn from any point on the circle $15x^2 + 15x^2 - 48x +64y = 0$ to the two circles $5x^2 + 5y^2 -24x + 32y +75 = 0$ and $5x^2 + 5y^2 - 48x + 64y +300 = 0$ are in the ratio of

The letters of the word "LABOUR" are permuted in all possible ways and the words thus formed are arranged as in a dictionary the rank of the word "LABOUR" is

The length of the subtangent to the curve $x^2 + xy + y^2 = 7$ at $ (1, - 3)$ is

The length of the common chord of the two circles $x^2 + y^2 - 4y = 0$ and $x^2 + y^2 - 8x - 4y + 11 = 0$

The length of the perpendicular drawn from the point (3, -1, 11) to the line $\frac{x}{2} = \frac{y-2}{3} = \frac{z-3}{4} $ is :