MCQ
The value of $\mathop {\lim }\limits_{n\, \to \,\infty } \frac{{1 - {n^2}}}{{\sum n}}$ will be
- ✓$-2$
- B$-1$
- C$2$
- D$1$
$ = \mathop {\lim }\limits_{n \to \infty } \,\frac{{2\,(1 - n)}}{n}$
$ = \mathop {\lim }\limits_{n \to \infty } 2\,\left( {\frac{1}{n} - 1} \right)$$ = 2(0 - 1) = - 2$.
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$1.$ Length of chord $P Q$ is
$(A)$ $7 a$ $(B)$ $5 a$ $(C)$ $2 a$ $(D)$ $3 a$
$2.$ If chord $PQ$ subtends an angle $\theta$ at the vertex of $y^2=4 a x$, then $\tan \theta=$
$(A)$ $\frac{2}{3} \sqrt{7}$ $(B)$ $\frac{-2}{3} \sqrt{7}$ $(C)$ $\frac{2}{3} \sqrt{5}$ $(D)$ $\frac{-2}{3} \sqrt{5}$
Give the answer question $1$ and $2.$