$A$ man is standing on a balance and his weight is measured. If he takes a step to the left side,then his weight:

Let $f: R \to R$,$f(x) = \max \{ |\tan^{-1} x|, \cot^{-1} x \}$. Consider the following statements:
$I$. The function is continuous and derivable $\forall x \in R$.
$II$. The range of the function is $[\frac{\pi}{4}, \pi]$.
$III$. $f(x)$ is many-one into.
Identify the correct option.

If the $B-H$ curves of two samples of $P$ and $Q$ of iron are as shown below, then which one of the following statements is $CORRECT$?

The inverse point of $(1,2)$ with respect to the circle $x^2+y^2-4x-6y+9=0$ is

Given below are two statements:
Statement $I$: $[CoBr_{4}]^{2-}$ ion will absorb light of lower energy than $[CoCl_{4}]^{2-}$ ion.
Statement $II$: In $[CoI_{4}]^{2-}$ ion,the energy separation between the two sets of $d$-orbitals is more than $[CoCl_{4}]^{2-}$ ion.
In the light of the above statements,choose the correct answer from the options given below:

The largest muscle in the human body is