List of top Mathematics Questions

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 inverse of a symmetric matrix is :

The intermediate solutions of constraints must be checked by substituting them back into

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

The diameter of $16x^2 - 9y^2 = 144$ which is conjugate to $x = 2y $ is

The diagonal of a square is changing at the rate of $0.5\, cm/ sec$. Then the rate of change of area, when the area is $400\, cm^2$, is equal to

The derivative of $cosec^{-1} \left(\frac{1}{2x\sqrt{1-x^{2}}}\right) w.r.t \sqrt{1-x^{2}}$ is

The derivative of $\sin^{-1} x $ w.r.t $\cos^{- 1} \sqrt{1-x^{2}} $ is

The derivative of $\sin \, x^3 $ w.r.t. $\cos \, x^3$ is equal to