List of top Mathematics Questions asked in AP EAPCET

If \[ a=2,\quad b=3,\quad c=4 \] in a triangle \(ABC\), then \[ \cos C= \]

In a triangle \(ABC\), \[ 2(bc\cos A+ac\cos B+ab\cos C)= \]

The value of \[ \tan\left(\frac{7\pi}{8}\right) \] is

If \[ A+B+C=\pi, \] and \[ \cos B=\cos A \cos C, \] then \[ \tan A \tan C= \]

Evaluate \[ 1+\sec^2x\sin^2x= \]

If \[ \frac{13x+43}{2x^2+17x+30} = \frac{A}{2x+5} + \frac{B}{x+6}, \] then \(A^2+B^2=\)

In a triangle \(ABC\), \[ \left( \tan\frac{A}{2} \tan\frac{B}{2} \tan\frac{C}{2} \right)^2 \leq \]

The least value of \(n\) so that \[ {}^{\,n-1}C_3+{}^{\,n-1}C_4\gt {}^{\,n}C_3 \] is

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

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

For what values of \(a \in \mathbb{Z}\), the quadratic expression \[ (x+a)(x+1991)+1 \] can be factorised as \[ (x+b)(x+c), \] where \(b,c \in \mathbb{Z}\)?

If a set \(A\) has \(m\)-elements and the set \(B\) has \(n\)-elements, then the number of injections from \(A\) to \(B\) is

In how many ways can the letters of the word “MULTIPLE” be arranged keeping the position of the vowels fixed?

A true statement among the following identities is

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

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

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

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 \[ \begin{vmatrix} a & 5 & 1\\ b & 8 & 1\\ c & 13 & 1 \end{vmatrix} = \]

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 \[ l^3-m^3= \]

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

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

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:

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

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