List of top Mathematics Questions asked in TS EAMCET

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 line ax + 2y = k forms a triangle of area 3 sq.units with the coordinate axis and is perpendicular to the line 2x - 3y + 7 = 0, then the product of all the possible values of k is 

If i=√-1 then 

If cosθ = \(\frac{-3}{5}\)- and π < θ < \(\frac{3π}{2}\), then tan \(\frac{ θ}{2}\) + sin \(\frac{ θ}{2}\)+ 2cos \(\frac{ θ}{2}\) =

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

If f(x) = e^x, h(x) = (fof) (x), then \(\frac{h'(x)}{h'(x)}\) = 

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 sin y = sin 3t and x = sin t, then \(\frac{dy}{dx}\) =

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

5 persons entered a lift cabin in the cellar of a 7-floor building apart from cellar. If each of the independently and with equal probability can leave the cabin at any floor out of the 7 floors beginning with the first, then the probability of all the 5 persons leaving the cabin at different floors is

The number of diagonals of a polygon is 35. If A, B are two distinct vertices of this polygon, then the number of all those triangles formed by joining three vertices of the polygon having AB as one of its sides is:

The locus of z such that  \(\frac{|z-i|}{|z+i|}\)= 2, where z = x+iy. is

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

lim n→∞ \(\frac{1}{n^3} \) 

If the line x cos α + y sin α = 2√3 is tangent to the ellipse \(\frac{x^2}{16} + \frac{y^2}{8} = 1\) and  α is an acute angle then α = 

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 =

The orthocenter of the triangle whose sides are given by x + y + 10 = 0, x - y - 2 = 0 and 2x + y - 7 = 0 is

If 2i - j + 3k, -12i - j - 3k, -i + 2j -4k and λi + 2j - k are the position vectors of four coplanar points, then λ =

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| =

If X_n = cos \(\frac{ π}{2^n}\) + i sin\(\frac{ π}{2^n}\) , then