List of top Mathematics Questions asked in TS EAMCET

If a≠b≠c a \neq b \neq c , then

Δ1=∣1a2bc1b2ca1c2ab∣,Δ2=∣111a2b2c2a3b3c3∣ \Delta_1 = \begin{vmatrix} 1 & a^2 & bc \\ 1 & b^2 & ca \\ 1 & c^2 & ab \end{vmatrix}, \quad \Delta_2 = \begin{vmatrix} 1 & 1 & 1 \\ a^2 & b^2 & c^2 \\ a^3 & b^3 & c^3 \end{vmatrix}

and

Δ1Δ2=611 \frac{\Delta_1}{\Delta_2} = \frac{6}{11}

then what is 11(a+b+c) 11(a + b + c) ?

Among the following four statements, the statement which is not true, for all n∈N n \in N is:
The mean of a binomial variate X∼B(n,p) X \sim B(n, p) is 1. If n>2 n>2 and P(X=2)=27128 P(X = 2) = \frac{27}{128} , then the variance of the distribution is:}
Bag P P contains 3 white, 2 red, 5 blue balls and bag Q Q contains 2 white, 3 red, 5 blue balls. A ball is chosen at random from P P and is placed in Q Q . If a ball is chosen from bag Q Q at random, then the probability that it is a red ball is:
If the probability distribution of a random variable X X is as follows, then the variance of X X is: X=x2359 X = x \quad 2 \quad 3 \quad 5 \quad 9 P(X=x)=k2k3k2k2 P(X = x) = k \quad 2k \quad 3k^2 \quad k^2
If the distance from a variable point P P to the point (4,3) (4,3) is equal to the perpendicular distance from P P to the line x+2y−1=0 x + 2y - 1 = 0 , then the equation of the locus of the point P P is:
(0, k) is the point to which the origin is to be shifted by the translation of the axes so as to remove the first degree terms from the equation ax2−2xy+by2−2x+4y+1=0 ax^2 - 2xy + by^2 - 2x + 4y + 1 = 0 and 12tan⁡−1(2) \frac{1}{2} \tan^{-1}(2) is the angle through which the coordinate axes are to be rotated about the origin to remove the xy xy -term from the given equation, then a+b= a + b = :
If β \beta is the angle made by the perpendicular drawn from origin to the line L=x+y−2=0 L = x + y - 2 = 0 with the positive X-axis in the anticlockwise direction. If a a is the X-intercept of the line L=0 L = 0 and p p is the perpendicular distance from the origin to the line L=0 L = 0 , then tan⁡β+p2= \tan \beta + p^2 = :
The line 2x+y−3=0 2x + y - 3 = 0 divides the line segment joining the points A(1,2) A(1,2) and B(2,−1) B(2,-1) in the ratio a:b a:b at the point C C . If the point C C divides the line segment joining the points P(b3a,−3) P\left( \frac{b}{3a}, -3 \right) and Q(−3,−b3a) Q\left( -3, \frac{-b}{3a} \right) in the ratio p:q p:q , then pq+qp= \frac{p}{q} + \frac{q}{p} = :
If Q Q and R R are the images of the point P(2,3) P(2,3) with respect to the lines x−y+2=0 x - y + 2 = 0 and 2x+y−2=0 2x + y - 2 = 0 respectively, then Q Q and R R lie on
If (l,k) (l, k) is a point on the circle passing through the points (−1,1) (-1, 1) , (0,−1) (0, -1) , and (1,0) (1, 0) , and if k≠0 k \neq 0 , then find k k .
If x4(x2+1)(x−2)=f(x)+Ax+Bx2+1+Cx−2 \frac{x^4}{(x^2+1)(x-2)} = f(x) + \frac{Ax+B}{x^2+1} + \frac{C}{x-2} then f(14)+2A−B= f(14) + 2A - B = ?
One of the roots of the equation x14+x9−x5−1=0 x^{14} + x^9 - x^5 - 1 = 0 is:
The equations 2x2+ax−2=02x^2 + ax - 2 = 0 and x2+x+2a=0x^2 + x + 2a = 0 have exactly one common root. If a≠0a \neq 0, then one of the roots of the equation ax2−4x−2a=0ax^2 - 4x - 2a = 0 is:
The point P denotes the complex number z=x+iyz = x + iy in the Argand plane. If 2z−iz−2 \frac{2z - i}{z - 2} is purely real number, then the equation of the locus of P is.
If mcos⁡(α+β)−ncos⁡(α−β)=mcos⁡(α−β)+ncos⁡(α+β)m\cos(\alpha + \beta) - n\cos(\alpha - \beta) = m\cos(\alpha - \beta) + n\cos(\alpha + \beta), then tan⁡αtan⁡β\tan \alpha \tan \beta is:
The number of solutions of the equation sin⁡7θ−sin⁡3θ=sin⁡4θ \sin 7\theta - \sin 3\theta = \sin 4\theta that lie in the interval (0,π) (0, \pi) is:
Evaluate the expression: cos⁡−135+sin⁡−1513+tan⁡−11663 \cos^{-1} \frac{3}{5} + \sin^{-1} \frac{5}{13} + \tan^{-1} \frac{16}{63}
If nCr=Cr^nC_r = C_r and 2C1C0+4C2C1+6C3C2+⋯+2nCnCn−1=650 2 \frac{C_1}{C_0} + 4 \frac{C_2}{C_1} + 6 \frac{C_3}{C_2} + \dots + 2n \frac{C_n}{C_{n-1}} = 650 then nC2= ? ^nC_2 = \ ?
If the period of the function f(x)=2cos⁡(3x+4)−3tan⁡(2x−3)+5sin⁡(5x)−7 f(x) = 2\cos(3x+4) - 3\tan(2x-3) + 5\sin(5x) - 7 is k k , then f(x) f(x) is periodic with fundamental period k k . Find k k .
If the angle between the pair of tangents drawn to the circle x2+y2−2x+4y+3=0 x^2 + y^2 - 2x + 4y + 3 = 0 from the point (6,−5)(6, -5) is:

If i=√-1 then 

Arg[(1+i)20251+i2022]=Arg\left[ \frac{(1+i)^{2025}}{1+i^{2022}} \right] =

Let X= {[a b c d] / a,b,c,d ∈ R}. If f:X → R is defined by f(A) = det (A) ⦡ A ∈ X, then f is:

If sin y = sin 3t and x = sin t, then dydx\frac{dy}{dx} =

If A = [0300 ]\begin{bmatrix} 0 & 3\\ 0 & 0  \end{bmatrix}and f(x) = x+x2+x3+.....+x2023, then f(A)+I =