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STD 12 - 3 and 4 . determinant and metrices — Mathematics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceMathematicsSTD 12 - 3 and 4 . determinant and metrices1 Mark
MCQ
The values of $x $ in the following determinant equation, $\left| {\,\begin{array}{*{20}{c}}{a + x}&{a - x}&{a - x}\\{a - x}&{a + x}&{a - x}\\{a - x}&{a - x}&{a + x}\end{array}\,} \right| = 0$ are
  • A
    $x = 0,x = 4a$
  • B
    $x = 0,x = a$
  • C
    $x = 0,x = 2a$
  • ✓
    $x = 0,x = 3a$
✓

Answer

Correct option: D.
$x = 0,x = 3a$
d
(d) Trick: Putting $x = 0$ and $x = 3a,$ the value of determinant becomes zero.

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