List of top Mathematics Questions asked in AP EAPCET

In the triangle \(ABC\), if \(a=7\), \(b=6\) and \(A=120^\circ\), then the approximate value of \(B\) is

For any real number \(n\in \mathbb{R}\), \[ (\cosh x+\sinh x)^n= \]

Let \(x,y,z\) be real numbers and \[ x\geq y\geq z\geq \frac{\pi}{12} \] If \[ x+y+z=\frac{\pi}{2}, \] then the minimum value of \[ \cos x\sin y\cos z \] is

The number of ways of distributing \(500\) dissimilar boxes equally among \(50\) persons is

Let \(a\) and \(b\) be non-negative real numbers. If \[ \sin x+a\cos x=b, \] then \[ |a\sin x-\cos x|= \] is equal to:

The value of \[ \sqrt{\sin^4x+4\cos^2x} - \sqrt{\cos^4x+4\sin^2x} \] is

If we resolve the rational fraction \[ \frac{1}{(1-2x)^2(1-3x)} \] into partial fractions of the form \[ \frac{A}{1-3x}+\frac{B}{1-2x}+\frac{C}{(1-2x)^2}, \] then what is the \(\min\{A,B,C\}=\)

The value of \[ \sin22\frac{1}{2}^{\circ} \] is

How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER?

Let \(a_n,a_{n-1},\ldots,a_1,a_0\in \mathbb{C}\) and \[ f(x)=a_nx^n+a_{n-1}x^{n-1}+\cdots+a_1x+a_0 \] is a polynomial. If the polynomial \(f(x)\) is monic, then

The number of solutions of the equations \[ x+y+z=12,\quad x^2+y^2+z^2=50,\quad x^3+y^3+z^3=216 \] is

The largest interval containing \(x\) for which \[ x^{12}-x^9+x^4-x+1\gt 0 \] is

The value of \[ {}^{34}C_5+\sum_{i=0}^{4}{}^{38-i}C_4 \] is

Number of four digit numbers that can be formed using all the digits except zero such that every number has exactly \(2\) distinct digits in it is

The number of distinct solutions of the equation \[ x^{11}-x^7+x^4-1=0 \] is

If \[ A= \begin{bmatrix} 1 & 1 & 3\\ 1 & 7 & 9\\ 2 & 3 & 7 \end{bmatrix} \] then \[ \mathrm{Tr}(A^2-A)= \] is equal to:

The number of complex numbers \(z\) satisfying \[ \overline{z}=iz^2 \] is

If \[ z=\cos\theta+i\sin\theta \] then \[ z^r+(\overline{z})^r= \] is equal to:

If \[ (x+iy)=\left(\frac{1+i}{1-i}\right)^3-\left(\frac{1-i}{1+i}\right)^3, \] then the true statement among the following is:

If \(f(x)=ax^2+bx+c\) satisfies \[ f(1)+2f(2)=0 \] and \[ 2f(1)+f(2)=0, \] then \(3a+b=\)

Let \(f\) be a function defined by \[ f(xy)=\frac{f(x)}{y} \] for all positive real numbers \(x\) and \(y\). If \(f(30)=20\), then \(f(40)=\)

If \[ A=\begin{bmatrix} 3 & 4\\ 5 & 6 \end{bmatrix} \] and \[ B=\begin{bmatrix} x & 0\\ 0 & y \end{bmatrix}, \quad x,y\in \mathbb{N}, \] then:

If \(A\) and \(B\) are symmetric matrices of same order such that \[ AB+BA=X \] and \[ AB-BA=Y, \] then \((XY)^T=\)

If the ranks of the matrices \[ A= \begin{bmatrix} 1 & 0 & 1\\ 2 & 1 & 2\\ 1 & 0 & -1 \end{bmatrix} \] and \[ B= \begin{bmatrix} 1 & 2 & 3 & 4\\ 2 & 4 & 6 & -8 \end{bmatrix} \] are \(r_1\) and \(r_2\) respectively, then \(r_1-r_2=\)

Let \(f:\mathbb{R}\to\mathbb{R}\) be defined by \[ f(x)=5^{x^4+2} \] Then: