List of top Mathematics Questions

The logically equivalent preposition of $p \Leftrightarrow q$ 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 vertices of the family of parabola $ 6y = 2a^3x^2 + 3a^2x - 12a $ is
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 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 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 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 :
The least value of 'a' for which $5^{1+x}+5^{1-x},\frac{a}{2},25^x+25^{-x}$ are three consecutive terms of an A.P. is
The largest term common to the sequences $1, 11, 21, 31,...$to $100$ terms and $31, 36, 41, 46,.....$ to $100 $ terms is
The large hand of a clock is $42 \,cm$ long. How much distance does its extremity move in $20$ minutes?
The intermediate solutions of constraints must be checked by substituting them back into
The inverse of a symmetric matrix is :
The integral part of $(8+3\sqrt{7})^n$ is
The integral $\int^{\pi/2}_{0}\left|sin\,x-cos\,x\right|dx$ is equal to :
The inequalities $ {5x + 4y \geq 20, x \leq 6, y \leq 4}$ forms
The inclination of the line x - y + 3 = 0 with the positive direction of x-axis is
The face cards are removed from a well shuffled pack of 52 cards. Out of the remaining cards 4 are drawn at random: The probability that they belong to different suits is
The eccentricity of the ellipse $ 25x^2 + 9y^2- 150x - 90y - 225 = 0$ is