List of top Mathematics Questions asked in TS EAMCET

In △ABC, if a : b : c = 4 : 5 : 6, then the ratio of the circumference to its in radius is

if |a| = 4, |b| = 5, |a - b| = 3 and θ is the angle between the vectors a and b, then cot² θ =

If ∫(log x)³ x⁵ dx = \(\frac{x^6}{A}\) [B(log x)³ + C(logx)² + D(log x) - 1] + k and A,B,C,D are integers, then A - (B+C+D) = 

If A = \(\begin{bmatrix} 0 & 3\\ 0 & 0  \end{bmatrix}\)and f(x) = x+x²+x³+.....+x²⁰²³, then f(A)+I =

The radius of a circle touching all the four circles (x ± λ)² + (y ± λ)² = λ² is

\(∫\frac{dx}{(x2+1) (x2+4)} =\)

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

A tangent PT is drawn to the circle x² + y² = 4 at the point P(√3, 1). If a straight line L which is perpendicular to PT is a tangent to the circle (x- 3)² + y² = 1, then a possible equation of L is

If l,m,n and a,b,c are direction cosines of two lines then

If ∫ \(\frac{x^{49} Tan^{-1} (x^{50})}{(1+x^{100})}\)dx = k(Tan^-1 (x⁵⁰))² + c, then k =

If a + b + c = 0. |a| = 3, |b| = 5, |c| = 7, then the angle between a and b is

If x - 2y + k = 0 is a tangent to the parabola y² - 4x - 4y + 8 = 0, then the value of k is

\(∫\frac{dx}{(x-1)^{34} (x+2)^{\frac54}}=\)

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

The quadratic equation whose roots are sin²18° and cos² 36° is

The perimeter of a △ABC is 6 times the arithmetic mean of the values of the sine of its angles. If the side BC is of the unit length, then ∠A =

A random variable X has the following probability distribution 

For the events E = {x/x is a prime number} and F = {x/x <4} then P(E ∪ F)

Let d be the distance between the parallel lines 3x - 2y + 5 = 0 and 3x - 2y + 5 + 2√13 = 0. Let L1 = 3x - 2y + k1 = 0 (k1 > 0) and L2 = 3x - 2y + k2 = 0 (k2 > 0) be two lines that are at the distance of \(\frac{4d}{√13}\) and \(\frac{3d}{√13}\) from the line 3x - 2y + 5y = 0. Then the combined equation of the lines L₁ = 0 and L₂ = 0 is:

If the parametric equations of the circle passing through the points (3,4), (3,2) and (1,4) is x = a + r cosθ, y = b + r sinθ then b^a r^a = 

A straight line parallel to the line y = √3 x passes through Q(2,3) and cuts the line 2x + 4y - 27 = 0 at P. Then the length of the line segment PQ is

On differentiation if we get f (x,y)dy - g(x,y)dx = 0 from 2x²-3xy+y²+x+2y-8 = 0 then g(2,2)/f(1,1) =