List of top Mathematics Questions

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

The derivative of an even function is always

The corner points of the feasible region determined by the system of linear constraints are $(0,0), (0,40), (20, 40), (60, 20), (60, 0)$. The objective function is $Z = 4x + 3y$. Compare the quantity in Column $A$ and Column $B$

The contrapositive of "if two triangles are congruent then they are similar" is

The contrapositive of statement 'If Chandigarh is capital of Punjab, then Chandigarh is in India' is

The contrapositive of the statement "If 7 is greater than 5, then 8 is greater than 6" is

The condition for the lines $lx+ my + n = 0$ and $ l_1x + m_1y + n_1 = 0$ to be conjugate with respect to the circle $ x^2 + y^2 = r^2 $ is

The complex number $z$ satisfying the condition arg $\frac {z-1} {z+1} = \frac {\pi} {4}$

The complex number $z = x + iy$ which satisfies the equation $| z + 1 | = 1$ lies on

The coefficients of three consecutive terms in the expansion of $(1 + a)^n$ are in the ratio $1 : 7 : 42$. Find $n$.

The coefficient of $x^{-7}$ in the expansion of $\left[ax - \frac{1}{bx^{2}}\right]^{11} $ will be

The coefficient of $x^n$ in the binomial expansion of $(1 - x)^{-2}$ is

The coefficient of $x^n$ in the expansion of ($1 - 2x + 3x^{2} - 4x^{3} + ...$ to $\infty$)$^{-n}$ is