List of top Mathematics Questions

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 perpendicular drawn from the point (3, -1, 11) to the line $\frac{x}{2} = \frac{y-2}{3} = \frac{z-3}{4} $ 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 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 $\int^{\pi/2}_{0}\left|sin\,x-cos\,x\right|dx$ 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 eccentricity of the ellipse $ 25x^2 + 9y^2- 150x - 90y - 225 = 0$ is

The eccentric angle of a point on the ellipse $\frac{x^2}{6}+\frac{y^2}{2}=1$ whose distances from the centre of the ellipse is 2, is

The domain of the function $cos^{-1}(2x - 1)$ is

The distance of the point P(a, b, c) from the x-axis is

The distance of the midpoint of the line joining two points $(4, 0)$ and $(0, 4) $ from the centre of circle $ x^2 + r^2 = 16$ is

The distance between the parallel lines $9x^2 - 6xy + y^2 +18x - 6y + 8 = 0$ is

The direction cosines l, m, n, of one of the two lines connected by the relations $l -5m+ 3n = 0, 7l^2 + 5m^2 -3n^2 = 0$ are

The direction cosines of a line passing through two points $P(x_1, y_1, z_1)$ and $Q(x_2, y_2, z_2)$ are

The differential equation of all parabolas whose axis of symmetry is along axis of $x$-axis is of order

The differential equation of $y = Ae^{2x} + Be^{-2x} $ is :

The differential equation of all non-horizontal lines in a plane is

The difference between the greatest and least value of the function, $f(x) = \sin 2x - x$ on $\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$ is