List of top Mathematics Questions

The number of arrangements containing all the seven letter of the word ALRIGHT that begins with LG is

In triangles ABC and PQR, \( \angle A = \angle Q \) and \( \angle B = \angle R \), then \( AB : AC \) is equal to :

Evaluate the integral: \( \displaystyle \int \frac{x}{x+2}\,dx \)

Find the general solution of the differential equation \(\dfrac{dy}{dx} + y\cot x = \csc x\).

Find the value of \(k\) if the function \(f(x) = \dfrac{k\sin x}{x}\) is continuous at \(x = 0\) and \(f(0)=3\).

What is the value of \( \sin^{-1}\left(\frac{1}{2}\right) + \cos^{-1}\left(\frac{1}{2}\right) \)?

Find the equation of the curve \( (x, y) \) if \( \cos^{-1}(x-2) = \sin^{-1}(y+1) \).

The distance between the foci of the ellipse \(\frac{(x + 2)^{2{9} + \frac{(y - 1)^{2}}{4} = 1\) is}

Identify the co-ordinates of the point where the line joining \( (1,1,1) \) and \( (2,2,2) \) intersects the plane \( x+y+z=9 \).

Calculate \( y(\log 2) \) if \( \dfrac{dy}{dx} = y + 5 \) and \( y(0) = 4 \).

Find the value of \( k \) if the function \( f(x) = k\sin x + 2\cos x \) is increasing for all \( x \)

The circle passing through the point (1, -2) and touching the x-axis at (3,0) also passes through the point

The axis of the parabola \(x^{2} + 6x + 4y + 5 = 0\) is

The value of \(k\), if the circles \(2x^{2} + 2y^{2} - 4x + 6y = 3\) and \(x^{2} + y^{2} + kx + y = 0\) cut orthogonally is

The value of the integral \(\int_{0}^{\pi} \frac{\cos x}{1 + \sin^{2} x} \, dx\) is

If $x^{22}$ is in the $(r + 1)^{\text{th}}$ term of the binomial expansion of $(3x^3 - x^2)^9$, then the value of $r$ is equal to

A set contains 9 elements. Then the number of subsets of the set which contains at most 4 elements is:

The foci of a hyperbola are (8,3) and (0,3) and eccentricity is $4/3$. Then the length of the transverse axis is:

The end-points of a diameter of a circle are (−1,4) and (5,4). Then the equation of the circle is

Find mean and mode of the following frequency distribution :

The equation of perpendicular bisector of the line segment joining the points (10, 0) and (0, -4) is

If $a y = x + b$ is the equation of the line passing through the points (-5, -2) and (4, 7), then the value of $2a + b$ is equal to:

Given \( a_1 + a_2 + a_3 + a_4 = 960 \) and \( a_4 - 8a = a_1 \), find \( a_1 \).

PQ is tangent to a circle with centre O. If \(OQ = a\), \(OP = a + 2\) and \(PQ = 2b\), then relation between \(a\) and \(b\) is

If \(2\tan A = 3\), then value of \(\sec A\) equals