Solution of the equation | , * 20 c 1&1&x p + 1 & p + 1 & p + x 3… - Vidyadip

MCQ

Solution of the equation $\left| {\,\begin{array}{*{20}{c}}1&1&x\\{p + 1}&{p + 1}&{p + x}\\3&{x + 1}&{x + 2}\end{array}\,} \right| = 0$ are

✓
$x = 1,\,2$
B
$x = 2,\,3$
C
$x = 1,\,p,\,2$
D
$x = 1,\,2,\, - p$

✓

Answer

Correct option: A.

$x = 1,\,2$

a
(a) $A = \left| {\begin{array}{*{20}{c}}1&1&x\\{p + 1}&{p + 1}&{p + x}\\3&{x + 1}&{x + 2}\end{array}\,} \right|$

$|A|\, = 0\,{\rm{for}}\,x = 1\,{\rm{ and }}2$.

So option $ (a)$ is correct.

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