List of top Questions asked in AP EAPCET- 2022

Which of the following quadratic equations whose real roots \(x_1,x_2\) satisfy the conditions \[ x_1^2+x_2^2=5, \quad 3(x_1^5+x_2^5)=11(x_1^3+x_2^3)? \]

The range of the function \[ f(x)=\frac{x^2+x+1}{x^2-x+1} \] is

The total number of positive integral solutions \((x,y,z)\) of \[ xyz=24 \] is

If \[ {}^nC_{r-1}=36,\qquad {}^nC_r=84,\qquad {}^nC_{r+1}=126, \] then the value of \(nr^2\) is

If the complex numbers \(z_1\), \(z_2\), \(0\) are vertices of an equilateral triangle, then \[ z_1^2+z_2^2= \] is equal to:

Let \[ f(x)=x^2+\frac{1}{x^2} \] and \[ g(x)=x-\frac{1}{x} \] for \(x\in \mathbb{R}-\{-1,0,+1\}\), then the local minimum of \[ \frac{f(x)}{g(x)} \] is

Let \(z=x+iy\) be a complex number with \(x,y\in \mathbb{Z}\). Then the area (in square units) of the rectangle whose vertices are the roots of the equation \[ z\overline{z}^{\,3}+\overline{z}z^{3}=350 \] is:

If \(1,\omega,\omega^2\) are the cube roots of unity, then \[ (2-\omega)^2(2-\omega^2)^2(2-\omega^{10})^2(2-\omega^{11})^2= \]

Let \(z\) and \(w\) be two complex numbers such that \[ \overline{z}+i\overline{w}=0 \] and \[ \operatorname{Arg}(zw)=\pi. \] Then \(\operatorname{Arg}(z)=\)

Let \[ A=\begin{bmatrix} 1 & 2\\ -2 & 1 \end{bmatrix} \] and \[ B^{-1}=\begin{bmatrix} 1 & 1\\ 0 & 2 \end{bmatrix} \] If \[ (AB^{-1})^{-1}=\begin{bmatrix} a & b\\ c & d \end{bmatrix}, \] then \(2b+5c+10d=\)

If \[ A=\begin{bmatrix} x & 2 & 1\\ 2 & x & 1\\ 2 & 1 & 0 \end{bmatrix} \] and \(\det(A^3)=125\), then \(x=\)

Let \[ A=\begin{bmatrix} n & 0 & 0\\ 0 & n & 0\\ 0 & 0 & n \end{bmatrix} \] and \[ B=\begin{bmatrix} 0 & 0 & n\\ 0 & n & 0\\ n & 0 & 0 \end{bmatrix}. \] Then \(A^2+B^2+AB=\)

If the system of simultaneous linear equations \(x+y-z=6\), \(3x-y+z=2\) and \(x+ky+z=-8\) has a unique solution \(x=2\), \(y=\beta\), \(z=\gamma\), then the value of \(k\) satisfies the following quadratic equation:

The domain of the real valued function \[ f(x)=\frac{\sqrt{\log_{0.5}(x-3)}}{\sqrt{x-1}} \] is

If a function \(f\) satisfies \(f(x+1)+f(x-1)=\sqrt{2}f(x)\), then \(f(x+2)+f(x-2)=\)

Identify the product formed in the following reaction sequence.

Identify the major product of the following reaction.

Identify the major product formed when propene is treated with hydrogen chloride followed by Swarts reaction.

When ethanol is treated with sulphuric acid at \(413\ K\), the reaction involved in it is:

Identify the product \(P\) from the following sequence of reactions.

Statement-I : Despite having aldehyde group, glucose does not give Schiff test.
Statement-II : Glucose exists in \(\alpha\) and \(\beta\) crystalline forms.

Match the following:

Which of the following is not true about the denaturation of protein?

Assertion (A): All noble gases are monatomic.
Reason (R): All noble gases have very low melting and boiling points.

Which of the following \(f\)-block element exhibits the highest oxidation state?