List of top Mathematics Questions asked in TS EAMCET

Bag $ P $ contains 3 white, 2 red, 5 blue balls and bag $ Q $ contains 2 white, 3 red, 5 blue balls. A ball is chosen at random from $ P $ and is placed in $ Q $. If a ball is chosen from bag $ Q $ at random, then the probability that it is a red ball is:

If the distance from a variable point $ P $ to the point $ (4,3) $ is equal to the perpendicular distance from $ P $ to the line $ x + 2y - 1 = 0 $, then the equation of the locus of the point $ P $ is:

If $ \beta $ is the angle made by the perpendicular drawn from origin to the line $ L = x + y - 2 = 0 $ with the positive X-axis in the anticlockwise direction. If $ a $ is the X-intercept of the line $ L = 0 $ and $ p $ is the perpendicular distance from the origin to the line $ L = 0 $, then $ \tan \beta + p^2 = $:

If $ (l, k) $ is a point on the circle passing through the points $ (-1, 1) $, $ (0, -1) $, and $ (1, 0) $, and if $ k \neq 0 $, then find $ k $.

If the points of intersection of the parabola y² = 5x and x²= 5y lie on the line L, then the area of the triangle formed by the directrix of one parabola, latus rectum of another parabola and the line L is

If A is a square matrix of order 3, then |Adj(Adj A²)| =

If (h,k) is the image of the point (3,4) with respect to the line 2x - 3y -5 = 0 and (l,m) is the foot of the perpendicular from (h,k) on the line 3x + 2y + 12 = 0, then lh + mk + 1 = 2x - 3y - 5 = 0.

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

If the roots of the equation z² - i = 0 are α and β, then | Arg β - Arg α | =

The period of function f(x) = $e^{log(sinx)}+(tanx)^3 - cosec(3x - 5)$is

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

If $\int_{0}^{3} (3x^2-4x+2) \,dx = k,$ then an integer root of 3x²-4x+2= $\frac{3k}{5}$ is

If order and degree of the differential equation corresponding to the family of curves y² = 4a(x+a)(a is parameter) are m and n respectively, then m+n² =

If the solution of the differential equation $\frac{dy}{dx}=\frac{2x+3y}{3x-2y}$ is y = xtan(f(x)) + c then f(x) =

The general solution of the differential equation (x² + 2)dy +2xydx = e^x(x²+2)dx is

If n is a positive integer and f(n) is the coeffcient of xⁿ in the expansion of (1 + x)(1-x)ⁿ, then f(2023) =

If $ i = \sqrt{-1} $ then $\text{Arg}\left[ \frac{(1+i)^{2025}}{1+i^{2022}} \right]=$

Let $ X = \left\{ \begin{bmatrix} a & b \\ c & d \end{bmatrix} \middle| a, b, c, d \in \mathbb{R} \right\} $. If $ f: X \to \mathbb{R} $ is defined by $ f(A) = \det(A) $ for all $ A \in X $, then $ f $ is

Let a = i + 2j -2k and b = 2i - j - 2k be two vectors. If the orthogonal projection vector of a on b is x and orthogonal projection vector of b on a is y then |x - y| =

In a triangle BC, if the mid points of sides AB, BC, CA are (3,0,0), (0,4,0),(0,0,5) respectively, then AB²+ BC² + CA² =

If ⁿC_rdenotes the number of combinations of n distinct things taken r at a time, then the domain of the function g (x)= ^(16-x)C_(2x-1) is

The area (in square units) of the region bounded by the curve y = |sin2x| and the X-axis in [0,2π] is

$\int_{\frac{-\pi}{2}}^{\frac{\pi}{2}} sin^2xcos^2x(sinx+cosx)dx=$

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

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