List of top Mathematics Questions

If $S = 12t - 3t^2$ then $\frac{dS}{dt} =$

If $u(x, y) = \sin^{-1} \frac{x}{y} + \tan^{-1} \frac{y}{x}$ then $xu_x + yu_y =$

$\frac{d}{dx} \left( e^{3 \log x} \right) =$

If $u = e^x \sin y$ then first partial derivative of $u$ with respect to $y$ is

If $y = \cos x$ then $\frac{d^2y}{dx^2} =$

If $4x - 7y + 15 = 0$ then derivative of $y$ with respect to $x$ is

When $a \gt 0$, $\lim_{x \to 0} \frac{a^x - 1}{x} =$

$\frac{d}{dx} [e^x(x^2 + 1)] =$

The eccentricity of $x^2 + 2y^2 = 3$ is

The equation of the Parabola, whose focus is $(0, -2)$ and the vertex is $(0, 0)$, is

The length of the latus rectum of the parabola $y^2 = 12x$ and the focal distance of the point $(3, -6)$ is

Equation of the circle with centre $(-3, 2)$ and radius 4 is

The number of common tangents to the circles $x^2 + y^2 - x = 0$ and $x^2 + y^2 + x = 0$ is

The centre and radius of the circle $x^2 + y^2 - 4x - 8y - 41 = 0$ are

If two rows (or columns) of a determinant of order 3 are identical then the value of determinant is

Order of the matrix $\begin{bmatrix} 1 & 6 \\ 2 & 0 \\ 7 & -1 \end{bmatrix}$ is

Particular integral of $f(D)y = \cos ax$ is

Complementary function of the differential equation $(D^3 - 8)y = x$ is

When $a=b$ then $\int_{a}^{b} f(x)dx =$

The area under the curve $f(x) = \sin x$ in $[0, 2\pi]$ is

If $f(x)$ is an even function, then $\int_{-a}^{a} f(x)dx=$

$\int_0^\pi dx =$

$\int \sin \frac{y}{2} \, dy =$

$\int \frac{dx}{\sqrt{x}} =$

$\int e^x \cos x \, dx =$