List of top Mathematics Questions asked in AP ECET EIE

$\frac{d}{dx} [\tan^{-1} x] =$

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

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

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

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

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

For any real $\theta$, $(\cos \theta + i \sin \theta)(\cos \theta - i \sin \theta) =$

$(-1 + 2i) + \left(\frac{1}{2} - i\right) =$

The value of $\sin 45^\circ$ is

In a $\Delta ABC$, if $a=13, b=14$ and $c=15$ then the value of $\tan \left(\frac{A}{2}\right)$ is

In a $\Delta ABC$, $\sum a^2 \cos(B - C) =$

Principle value of $\cot^{-1}(-1)$ is

$\sin 15^\circ =$

If $2 \cos \theta = x + \frac{1}{x}$ then $2 \cos 3\theta =$

In any $\Delta ABC$, $\tan \frac{B+C}{2} =$

In a triangle $\Delta ABC$, the value of $\cos \left(\frac{B+C}{2}\right)$ in terms of angle $A$.

If $A = \begin{bmatrix} 0 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 0 \end{bmatrix}$ then $(A^{-1}) =$

If $\tan A = \frac{4}{3}$ then the value of $\cos 2A$ is

If $-1 \leq x \leq 1$, then $\cos^{-1} x + \sin^{-1} x =$

If $\deg f(x) \geq \deg g(x)$, then the rational fraction $\frac{f(x)}{g(x)}$ is called

If $\frac{3x}{x^2+x-2} = \frac{A}{x+2} + \frac{B}{x-1}$, then the ordered pair $(A, B)$ is

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

Co-factor of -4 in $\begin{vmatrix} 1 & 2 & 3 \\ -4 & 3 & 6 \\ 2 & -7 & 9 \end{vmatrix}$ is

The Matrix $\begin{bmatrix} a & h & g \\ h & b & f \\ g & f & c \end{bmatrix}$ is

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