List of top Questions asked in AP ECET ECE- 2025

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

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

$\int_0^\pi dx =$

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

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

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

$\int \frac{1}{\sqrt{a^2 - x^2}} \, dx =$

$\int \cot^2 x \, dx =$

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

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

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

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

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

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

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

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

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

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

$\sin 15^\circ =$

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

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

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

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

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

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