List of top Mathematics Questions asked in AP EAMCET

In $\Delta ABC. a^3 . \cos (B - C) + b^3 . \cos(C - A) + c^3 . \cos (A - B) = $
$\lim_{x \to \frac{\pi}{2}} \frac{1+ \cos2x }{\cot3x \left(3^{\sin2x} - 1\right)} = $
If $\alpha, \beta, \gamma$ are any three angles, then $\cos \, \alpha + \cos \beta - \cos \, \gamma - \cos (\alpha + \beta + \gamma) =$
In triangle ABC. if a = 3 ,b = 4,c = 6, then $\frac{\cot \frac{A}{2} + \cot \frac{B}{2} + \cot \frac{C}{2}}{\cot A +\cot B + cot C} = $
If $\tan \, \theta = \frac{\cos 25^{\circ} + \sin 25^{\circ} }{\cos 25^{\circ} - \sin 25^{\circ} }$ and $\theta$ is in the third quadrant, then $\theta = $
If $\frac{x^{3}}{\left(2x-1\right)\left(x-1\right)^{2}} = A + \frac{B}{2x-1}+ \frac{C}{x-1}+ \frac{D}{\left(x-1\right)^{2}} $, then $2A - 3B + 4C + 5D = $
The number of three digit numbers in which $9$ appears only in one place is
The numerically greatest term in the binomial expansion of $(2a - 3b)^{19}$ and $a = \frac{1}{4}$ and $b = \frac{2}{3}$ is
The length of the transverse common tangent of the circles $x^2 + y^2 - 2x + 4y + 4 = 0$ and $x^2 + y^2 + 4x - 2y + 1 = 0 $ is
If the petrol burnt in driving a motor boat varies as the cube of the velocity, then the speed (in km hom ) of the boat going against a water flow of C kms hour so that the quantity of petrol burnt is minimum is
$\lim_{n \to\infty} n^{-nk} \left\{\left(n+1\right) \left(n+ \frac{1}{2}\right) \left(n + \frac{1}{2^{2}}\right) ...\left(n + \frac{1}{2^{k-1}}\right)\right\}^{n} = $
Let $z = x + iy$ and a point $P$ represent $z$ in the Argand plane. If the real part of $\frac{z - 1}{z + i}$ is 1. then a point that lies on the locus of $P$ is
If $z_{1} = 1 -2i ; z_{2} = 1 + i$ and $z_{3 } = 3 + 4i,$ then $ \left( \frac{1}{z_{1}} + \frac{3}{z_{2}}\right) \frac{z_{3}}{z_{2}} = $
If $1 , \omega , \omega^2$ are the cube roots of unity, then $\frac{1}{1+2\omega} + \frac{1}{2+\omega } - \frac{1}{1+\omega } = $
If A and B are the two real values of k for which the system of equations $x + 2y + z = 1,x + 3y + 4r = k.x + 5v + 10z = k^2 $ is consistent, then $A + B = $
The number of rational terms in the binomial expansion of $\left(\sqrt[4]{5} + \sqrt[5]{4}\right)^{100} $ is
If a circle touches the lines $3x - 4y - 10 = 0$ and $3x - 4y + 30 = 0$ and its centre lies on the line $x + 2y = 0$ then the equation of the equation of the circle is