If | ll 2 & 4 5 & 1 |= | cc 2 x & 4 6 & x |, then the possible va… - Vidyadip

MCQ

If $\left|\begin{array}{ll}2 & 4 \\ 5 & 1\end{array}\right|=\left|\begin{array}{cc}2 x & 4 \\ 6 & x\end{array}\right|$, then the possible value(s) of ' $x$ ' is/are

A
3
B
$\sqrt{3}$
C
$-\sqrt{3}$
D
$\sqrt{3},-\sqrt{3}$

✓

Answer

We have, $\left|\begin{array}{ll}2 & 4 \\ 5 & 1\end{array}\right|=\left|\begin{array}{cc}2 x & 4 \\ 6 & x\end{array}\right|$
\[\Rightarrow \quad 2-20=2 x^2-24 \Rightarrow 2 x^2=6 \Rightarrow x^2=3 \Rightarrow x= \pm \sqrt{3}\]

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