List of top Questions asked in TS EAMCET- 2024

The probability that exactly 3 heads appear in six tosses of an unbiased coin, given that the first three tosses resulted in 2 or more heads, is:

A student has to write the words ABILITY, PROBABILITY, FACILITY, MOBILITY. He wrote one word and erased all the letters in it except two consecutive letters. If 'LI' is left after erasing then the probability that the boy wrote the word PROBABILITY is: \

Two cards are drawn at random one after the other with replacement from a pack of playing cards. If $ X $ is the random variable denoting the number of ace cards drawn, then the mean of the probability distribution of $ X $ 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:

The numbers 2, 3, 5, 7, 11, 13 are written on six distinct paper chits. If 3 of them are chosen at random, calculate the probability that the sum of the numbers on the obtained chits is divisible by 3.

The maximum value of the function \[ f(x) = 3\sin^{12}x + 4\cos^{16}x \] is ?

If $A + B + C = 2S$, then \[ \sin(S - A)\,\cos(S - B)\;-\;\sin(S - C)\,\cos S \;=\;? \]

If $\cos x + \cos y = \tfrac{2}{3}$ and $\sin x - \sin y = \tfrac{3}{4}$, then \[ \sin(x - y) \;+\; \cos(x - y) \;=\;? \]

The solution set of the equation $\cos^2(2x) + \sin^2(3x) = 1$ is \;?

Match the functions in List--I with their corresponding properties in List--II:

If $ \cos^2 84^\circ + \sin^2 126^\circ - \sin 84^\circ \cos 126^\circ = K $ and $ \cot A + \tan A = 2K $, then the possible values of $ \tan A $ are:

The equation that is satisfied by the general solution of the equation $ 4 - 3 \cos \theta = 5 \sin \theta \cos \theta $ is:

If $ \sin^{-1}(4x) - \cos^{-1}(3x) = \frac{\pi}{6} $, then $ x = $:

If $2\,\tan^{-1}x = 3\,\sin^{-1}x$ and $x \neq 0$, then $8x^2 +1 =\;?$