List of top Questions asked in AP EAPCET- 2022

If the difference between the roots of \[ x^2+ax+b=0 \] and that of the roots of \[ x^2+bx+a=0 \] is same and \(a\neq b\), then

A natural number \(n\) such that \(n!\) ends in exactly \(1000\) zeros is

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

A true statement among the following identities is

If \[ e^{i\theta}=\operatorname{cis}\theta, \] then \[ \sum_{n=0}^{\infty}\frac{\cos(n\theta)}{2^n} = \]

If \[ f(f(0))=0, \] where \[ f(x)=x^2+ax+b,\qquad b\neq0, \] then \(a+b=\)

If \[ \sum_{k=0}^{440} i^k=x+iy, \] then \[ x^{100}+x^{99}y+x^{242}y^2+x^{97}y^3= \]

Let \[ A= \begin{bmatrix} -2 & x & 1\\ x & 1 & 1\\ 2 & 3 & -1 \end{bmatrix} \] If the roots of the equation \[ \det(A)=0 \] are \(l,m\), then \[ l^3-m^3= \]

Multiplicative inverse of the complex number \[ (\sin\theta,\cos\theta) \] is

If \(a,b,c\) are respectively the \(5^{th}, 8^{th}, 13^{th}\) terms of an arithmetic progression, then \[ \begin{vmatrix} a & 5 & 1\\ b & 8 & 1\\ c & 13 & 1 \end{vmatrix} = \]

If \[ A= \begin{bmatrix} 1 & 0 & 0\\ a & -1 & 0\\ b & c & 1 \end{bmatrix} \] is such that \[ A^2=I, \] then

The domain of the real valued function \[ f(x)=\sin\left(\log\left(\frac{\sqrt{4-x^2}}{1-x}\right)\right) \] is:

The set \[ \left\{x \in \mathbb{R} \,/\, \frac{\sqrt{|x|^2-2|x|-8}} {\log(2-x-x^2)} \text{ is a real number} \right\} \] is equal to:

If \[ A=\begin{bmatrix} 2 & -3\\ -4 & 1 \end{bmatrix}, \] then \[ (A^T)^2+(12A)^T= \]

Which of the following is correct?

Which of the following statements is incorrect?
Statements:
(i) Colour blindness is an example of multiple allelism
(ii) Multiple alleles cannot be observed in the genotype of a diploid individual
(iii) Multiple alleles can be observed in the genotype of a population
(iv) Multiple alleles are represented by the inheritance of blood groups

The term genetics was coined by:

GIFT stands for:

Which of the following is known as white body?

Colostrum has abundant antibodies of type:

Abnormal growth of the bones especially of the face bones leads to:

Differentiation of the cells of the immune system is due to:

Steroid hormones are the derivatives of:

Match the following based on their function:

Which of the following is known as Dobie's Line?