$CsBr_3$ contains

If $\frac{x^3 - 6x^2 + 10x - 2}{x^2 - 5x + 6} = f(x) + \frac{A}{(x - 2)} + \frac{B}{(x - 3)}$,then $f(x) =$ ?

If the function $f(x) = 2x^3 - 9ax^2 + 12a^2x + 1$,where $a > 0$,attains its maximum and minimum values at $p$ and $q$ respectively,such that $p^2 = q$,then what is the value of $a$?

The set of values of $x$ for which the inequalities $x^2-3x-10 < 0$ and $10x-x^2-16 > 0$ hold simultaneously,is

$A$ complex current wave is given by $i = 5 + 5\, \sin(100\, \omega t)\, A$. Its average value over one complete time period is given as.....$A$.

If the mean and variance of a binomial variable $X$ are $2$ and $1$ respectively,then $P(X \geq 1)$ is equal to