List of top Questions asked in AP ECET Metallurgical Eng

If $(x/a)^n + (y/b)^n = 2$, then $dy/dx$ at $(a,b)$ is

$Lt_{x \to 0}(\frac{|x|}{x}+x+2)=$

The equation $\frac{x^2}{7-k}+\frac{y^2}{5-k}=1$ represents a hyperbola if}

The vertex of the parabola $y=ax^2+bx+c$ is

If $z$ is a complex number such that $|z| + z = 3 + i$ where $i = \sqrt{-1}$, then $|z| =$

In the complex plane, if the points A and B represent $(1 + i)$ and $(-1 + i)$ then the angle between OA and OB is

The equation of major axis of the ellipse $\frac{(x-1)^2}{9}+\frac{(y-6)^2}{4}=1$ is

The largest distance from (-3, 2) to the circle $x^{2} + y^{2} - 2x + 2y + 1 = 0$

If the line $3x-2y+6=0$ meets x-axis and y-axis respectively at A and B, then the equation of the circle with radius AB and centre at A is

The equation $16x^2+y^2+8xy-74x-78y+212=0$ represents

In $\triangle ABC$, if $\sin A = \sin^{2} B$ and $2 \cos^{2} A = 3 \cos^{2} B$ then the triangle ABC is

Sec 855$^{\circ}$ =}

The number of solutions of $\sin x = \frac{x}{10}$ is

Which of the following is not the solution of the equation $\sin 5x = 16 \sin^{5} x (n \in Z)?$

$\frac{\pi}{2} \le \theta \le \frac{3\pi}{4}$ then $\cos^{-1}(\frac{5}{13} \sin \theta + \frac{12}{13} \cos \theta) =$

If $sin \theta + cos \theta = 1/5$ and $0 \le \theta < \pi$ then $tan \theta$ is

If $f(x) = sin^{6}x + cos^{6}x$ then the range of $f(x)$ is

$cos 20^{\circ} + cos 80^{\circ} - \sqrt{3} cos 50^{\circ} =$

If $A = \sin 45^{\circ} + \cos 45^{\circ}$ and $B = \sin 44^{\circ} + \cos 44^{\circ}$ then which of the following is TRUE}

If A, B, C are angles of a triangle such that $\cot \frac{A}{2} = 3 \tan \frac{C}{2}$ then $\sin A, \sin B, \sin C$ are in}

If A and B are 4x4 matrices such that $A^{2}+B=A^{2}B$ then which of the following is correct?

If A is a matrix of order 3x3 and $|adj(adj(adj A))|=12^{4}$, then the value of $|A^{-1} adj A| =$

If A is a 4x4 matrix and $|2A|=64$, $B=adj A$ then $|adj B| =$

For what value of $\lambda$ the system of equations $x+2y+\lambda z=0, x+2y+z=6, x+2y+3z=10$, has no solution.

If $\frac{42-19x}{(x^{2}+1)(x-4)}=\frac{Ax+B}{x^{2}+1}+\frac{C}{x-4}$ then $B =$