The reaction $A \xrightarrow{k}$ Product is zero order,while the reaction $B \xrightarrow{k}$ Product is a first order reaction. For what initial concentration of $A$ are the half-lives of the two reactions equal?

For a Poisson variate $X$, if $P(X=2)=3 P(X=3)$, then the mean of $X$ is :

Which one of the following is a correct statement?

Let $M$ be the foot of the perpendicular from a point $P$ on the parabola $y^2=8(x-3)$ onto its directrix and let $S$ be the focus of the parabola. If $\triangle SPM$ is an equilateral triangle,then $P$ is equal to

Which of the following statements are correct for alkali metal compounds?
$(i)$ Superoxides are paramagnetic in nature.
$(ii)$ The basic strengths of hydroxides increase down the group.
$(iii)$ The conductivity of chlorides in their aqueous solutions decreases down the group.
$(iv)$ The basic nature of carbonates in aqueous solutions is due to cationic hydrolysis.

Which of the following reagents can form a hydrazone with alkanone?