MCQ
Let a vector $\vec{\text{r}}$ make angles $60^\circ , 30^\circ $ with it and $y-$axes respectively. Find the angle $\vec{\text{r}}$ make with $z-$axis:
- A$30^\circ $
- B$60^\circ $
- ✓$90^\circ $
- D$120^\circ $
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$f(x)=\frac{\mathrm{P}(\mathrm{x})}{\sin (\mathrm{x}-2)}, \quad \mathrm{x} \neq 2$
$\quad \quad \quad \quad 7, \quad\quad\quad \mathrm{x}=2$
where $P(x)$ is a polynomial such that $P^{\prime \prime}(x)$ is always a constant and $P(3)=9$. If $f(x)$ is continuous at $x=2$, then $P(5)$ is equal to $.....$
If $g: S \rightarrow R$ be defined as $g(x)=\log _{e} f(x),$ then the value of $\mid g "(5)- g "(1) \mid$ is equal to :