Left| {,begin{array}{*{20}{c}}{{{({a^x} + {a^{ - x}})}^2}}&{{{({a^x} - {a^{ - x}})}^2}}&1{{{

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3 and 4 .Determinants and Matrices

easy

$\left| {\,\begin{array}{*{20}{c}}{{{({a^x} + {a^{ - x}})}^2}}&{{{({a^x} - {a^{ - x}})}^2}}&1\\{{{({b^x} + {b^{ - x}})}^2}}&{{{({b^x} - {b^{ - x}})}^2}}&1\\{{{({c^x} + {c^{ - x}})}^2}}&{{{({c^x} - {c^{ - x}})}^2}}&1\end{array}\,} \right| = $

A

$0$

B

$2abc$

C

${a^2}{b^2}{c^2}$

D

None of these

Solution

(a) Put $X=0$ which gives answer $(a).$

Standard 12

Mathematics

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