List of top Questions asked in AP EAPCET- 2022

The sum of the real roots of the equation \[ x^4-2x^3+x-380=0 \] is

Let \[ G(x)= \begin{bmatrix} \cos x & -\sin x & 0 \\ \sin x & \cos x & 0 \\ 0 & 0 & 1 \end{bmatrix}. \] If \(x+y=0\), then \(G(x)G(y)=\)

By simplifying \[ i^{18}-3i^7+i^2(1+i^4)(i)^{22} \] we get

If \[ A= \begin{bmatrix} 1 & 0 \\ 2 & 1 \end{bmatrix}, \quad B= \begin{bmatrix} 1 & 3 \\ 0 & 1 \end{bmatrix}, \] then \[ \det(A^4+B^6)= \]

The values of \(x\) for which \[ \sin x+i\cos 2x \] and \[ \cos x-i\sin 2x \] are conjugate to each other are

The locus of a point \(z\) satisfying \[ |z|^2=\operatorname{Re}(z) \] is a circle with centre

Let \(f:\mathbb{R}-\left\{-\frac{1}{2}\right\}\to \mathbb{R}\) be defined by \[ f(x)=\frac{x-2}{2x+1} \] If \(\alpha,\beta\) satisfy the equation \[ f(f(x))=-x, \] then \[ 4(\alpha^2+\beta^2)= \]

If \(AX=D\) represents the system of simultaneous linear equations \[ x+y+z=6, \] \[ 5x-y+2z=3, \] \[ 2x+y-z=5, \] then \((Adj\,A)D=\)

If \[ A= \begin{bmatrix} 3 & -3 & 4 \\ 2 & -3 & 4 \\ 0 & -1 & 1 \end{bmatrix}, \] then \(AA^T\) is a

If \[ f(x)=\log \left(\frac{2x^2-3}{x}+\sqrt{\frac{4x^4-11x^2+9}{|x|}}\right) \] then \(f(x)\) is

\[ \frac{d}{dx}\left[ \lim_{y\to 2} \frac{1}{y-2} \left( \frac{1}{x} - \frac{1}{x+y-2} \right) \right] \]

Identify the major product of the following reaction

An aryl carboxylic acid on treatment with sodium hydrogen carbonate liberates a gaseous molecule. Identify the gas molecule liberated.

Which among the following will have highest density?

Identify the major product \((Y)\) from the following reaction

Finkelstein reaction is used for the synthesis of

Pernicious anemia is caused due to deficiency of which vitamin?

Which of the following vitamins cannot be stored in the body?

Assertion (A): Transition metals and their complexes show catalytic activity.
Reason (R): The activation energy of a reaction is lowered by the catalyst.

In the reaction of phosphorus with conc. \(HNO_3\), the oxidized and reduced products respectively are

Which of the following is formed when \(SO_3\) is absorbed by concentrated \(H_2SO_4\)?

The crystal field theory is successful in explaining which of the following?
I. Ligands as point charges
II. Formation and structures of complexes
III. Colour
IV. Magnetic properties
V. Covalent character of metal-ligand bonding

The macromolecular colloids of the following are
I. Starch solution II. Sulphur sol III. Synthetic detergent IV. Synthetic rubber

Assertion (A): Animal skins are colloidal in nature
Reason (R): Animal skin has positively charged particles.