List of top Questions asked in TS EAMCET

If the locus of the centroid of the triangle with vertices \( A(a,0) \), \( B(\cos t, a\sin t) \) and \( C(\sin t, -b\cos t) \) (\( t \) is a parameter) is given by \[ 9x^2 + 9y^2 - 6x = 49, \] then the area of the triangle formed by the line \[ \frac{x}{a} + \frac{y}{b} = 1 \] with the coordinate axes is: \

If \( X \sim B(6, p) \) is a binomial variate and \[ \frac{P(X=4)}{P(X=2)} = \frac{1}{9}, \] then the value of \( p \) is:

If \( z = x + iy \) satisfies the equation \[ z^2 + az + a^2 = 0, \quad a \in \mathbb{R}, \] then:

If \( \omega \) is the complex cube root of unity and \[ \left( \frac{a + b\omega + c\omega^2}{c + a\omega + b\omega^2} \right)^k + \left( \frac{a + b\omega + c\omega^2}{b + a\omega^2 + c\omega} \right)^2 = 2, \] then \( 2k + 1 \) is always:

Identify 'Z' in the following sequence of reactions:

In the following reaction sequence, what are X and Y respectively?

In the following reaction sequence, what are X and Y respectively?

Given below are the two statements regarding chlorobenzene
Statement I: Chlorobenzene is less reactive than benzene towards electrophilic substitution due to the -I effect of chlorine.
Statement II: Because of the -I effect of chlorine, it is a meta directing group.

Which of the following are inner orbital paramagnetic complexes?

Observe the following reaction: \[ xI^- + y \, \, MnO_4^- + z \, H^+ \rightarrow a \, Mn^{2+} + b \, H_2O + cl_2 \] Which of the following are correct?

Match the following:

Two statements are given below.
Statement I: Adsorption of a gas on the surface of charcoal is primarily an exothermic process.

Statement II: A closed vessel containing \( O_2(g) \), \( H_2(g) \), \( Cl_2(g) \), \( NH_3(g) \) has a pressure of 9 atm. About 1 g of charcoal was added to this vessel and after some time its pressure is \( P' \) atm. It is observed that \( P'>P \). Choose the correct answer.

Arrange the following halides in decreasing order of their reactivity towards dehydrohalogenation: