MCQ
Domain of the function $f(x) = \frac{{x - 3}}{{(x - 1)\sqrt {{x^2} - 4} }}$ is
- A$(1, 2)$
- ✓$( - \infty ,\; - 2) \cup (2,\;\infty )$
- C$( - \infty ,\; - 2) \cup (1,\;\infty )$
- D$( - \infty ,\;\infty ) - \{ 1,\; \pm 2\} $
$i.e.,$ $x \in ( - \,\infty ,\, - \,2)\, \cup \,(2,\,\infty )$.
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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 $2.$