List of top Mathematics Questions asked in TS EAMCET

Let y = t2 - 4t -10 and ax + by + c = 0 be the equation of the normal L. If G.C.D of (a,b,c) is 1, then m(a+b+c) =

If A(1,2,3) B(3,7,-2) and D(-1,0,-1) are points in a plane, then the vector equation of the line passing through the centroids of △ABD and △ACD is

\[\int_{-1}^{1} x|x| \,dx\]

The variance of 50 observations is 7. Suppose that each observation in this data is multiplied by 6 and then 5 is subtracted from it. Then the variance of that new data is

If \(\frac{3x+2}{(x+1)(2x^2+3)} = \frac{A}{x+1}+ \frac{Bx+C}{2x^2+3}\), then A - B + C=

If sin 2θ and cos 2θ are solutions of x2 + ax - c = 0, then

If the function f(x) = xe -x , x ∈ R attains its maximum value β at x = α then (α, β) =

The roots of the equation x4 + x3 - 4x2 + x + 1 = 0 are diminished by h so that the transformed equation does not contain x2 term. If the values of such h are α and β, then 12(α - β)2 =

If a point P moves so that the distance from (0,2) to P is \(\frac{1}{√2 }\) times the distance of P from (-1,0), then the locus of the point P is

If x2 + 2px - 2p + 8 > 0 for all real values of x, then the set of all possible values of p is

If $a$ is a unit vector, then $| a \times \hat{ i }|^{2}+| a \times \hat{ j }|^{2}+| a \times \hat{ k }|^{2}=$
$A$ straight line makes an intercept on the $Y$-axis twice as long as that on $X$-axis and is at a unit distance from the origin. Then the line is represented by the equations
The radical centre of the circles $x^{2}+y^{2}-4\,x-6 \,y+5=0$ $x^{2}+y^{2}-2\,x-4 \,y-1=0$ and $x^{2}+y^{2}-6 \,x-2 \,y=0=0$ lies on the line
For the parabola $y^2 + 6\,y - 2x = - 5$ I. the vertex is $( - 2,-3)$ II. the directrix is $y + 3 = 0$ Which of the following is correct?
Let $S$ and $S'$ be the foci of an ellipse and B be one end of its minor axis. If $SBS'$ is an isosceles right angled triangle then the eccentricity of the ellipse is
If $cosec\, \theta - \cot \theta = 2017$, then quadrant in which $\theta $ lies is
A bag contains $5$ red balls, $3$ black balls and $4$ white balls are drawn at random. The probability that they are not of same colour is
If $\frac{x^{2} + 5}{\left(x^{2} + 1 \right)\left(x-2\right)} = \frac{A}{x-2} + \frac{Bx+C}{x^{2} + 1 } , $ then $A + B + C = $
If $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 ,$ then $\frac{d^2 y}{dx^2} = $
If the origin is shifted to the point \(\left(\frac{3}{2}, -2\right)\) by the translation of axes, then the transformed equation of \(2x^2 + 4xy + y^2 + 2x - 2y + 1 = 0\) is:
If \[ \frac{(2 - i)\,x + (1 + i)}{2 + i} \;+\; \frac{(1 - 2i)\,y + (1 - i)}{1 + 2i} \;=\; 1 - 2i, \quad\text{then}\quad 2x + 4y =\;? \]