MCQ
Let $f(x) = \frac{{x\,\, - \,\,1}}{{2\,{x^2}\,\, - \,\,7x\,\, + \,\,5}}$ . Then :
- A$x\overset{limit}{\rightarrow}1 \,\, f(x) = - \frac{1}{3}$
- B$x\overset{limit}{\rightarrow}0 \,\, f(x) = - \frac{1}{5}$
- C$f(x) \neq 0$
- ✓All of the above
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where $X=\frac{1}{\sqrt{3}}\left[\begin{array}{cc}1 & -1 \\ 1 & k\end{array}\right],$ and $k \in R$. If $a _{1}^{2}+ a _{2}^{2}=\frac{2}{3}\left( b _{1}^{2}+ b _{2}^{2}\right)$ and $\left( k ^{2}+1\right) b _{2}^{2} \neq-2 b _{1} b _{2}$ then the value of $k$ is ....... .