| , * 20 c 1/a &1& bc 1/b &1& ca 1/c &1& ab , | = - Vidyadip

MCQ

$\left| {\,\begin{array}{*{20}{c}}{1/a}&1&{bc}\\{1/b}&1&{ca}\\{1/c}&1&{ab}\end{array}\,} \right| = $

✓
$0$
B
$abc$
C
$1/abc$
D
None of these

✓

Answer

Correct option: A.

$0$

a
(a) $\Delta = \frac{1}{a}[ab - ca] + 1\left[ {ca.\frac{1}{c} - \frac{1}{b}.ab} \right] + bc\left[ {\frac{1}{b} - \frac{1}{c}} \right]$

==>$\Delta = (b - c) + 1(a - a) + (c - b)$

==> $\Delta = 0$.

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