MCQ
The value of $\mathop {\lim }\limits_{x \to 2} \frac{{{3^{x/2}} - 3}}{{{3^x} - 9}}$ is
- A$0$
- B$1/3$
- ✓$1/6$
- D$\ln 3$
$ = \mathop {{\rm{lim}}}\limits_{x \to 2} \,\frac{1}{{{3^{x/2}} + 3}} = \frac{1}{6}$.
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Match the Statements / Expressions in Column $I$ with the Statements / Expressions in Column $II$ and indicate your answer by darkening the appropriate bubbles in the $4 \times 4$ matrix given in the $ORS.$
| Column $I$ | Column $II$ |
| $(A)$ $ \mathrm{L}_1, \mathrm{~L}_2, \mathrm{~L}_3$ are concurrent, if | $(p)$ $\mathrm{k}=-9$ |
| $(B)$ One of $\mathrm{L}_1, \mathrm{~L}_2, \mathrm{~L}_3$ is parallel to at least one of the other two, if | $(q)$ $\mathrm{k}=-\frac{6}{5}$ |
| $(C)$ $\mathrm{L}_1, \mathrm{~L}_2, \mathrm{~L}_3$ form a triangle, if | $(r)$ $\mathrm{k}=\frac{5}{6}$ |
| $(D)$ $ \mathrm{L}_1, \mathrm{~L}_2, \mathrm{~L}_3$ do not form a triangle, if | $(s)$ $\mathrm{k}=5$ |