Question

if x =2 and Y =4 then
$(\frac{x}{y}) x-y + ( \frac{y}{x})y - x$
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Answer 1

$\large\underline{\underline{ \sf \maltese{\:Given:-}}}$

$\sf \: if \: x = 2 \: andy = 4 \\ \sf \: find(\frac{x}{y}) ^{x-y } + ( \frac{y}{x}) ^{y- x}$

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$\large\underline{\underline{ \sf \maltese{\:Solution:-}}}$

$\sf: ⟹ (\frac{x}{y}) ^{x-y} + ( \frac{y}{x}) ^{y - x } \\ \\ \sf: ⟹(\frac{2}{4}) ^{2-4} + (\frac{4}{2}) ^{4-2} \\ \\ \sf \: : ⟹ \cancel {(\frac{2}{4}) } \: ^{ - 2} \: + \cancel{(\frac{4}{2}) } ^{2} \\ \\ : ⟹ ( \frac{1}{2} )^{ - 2} + ( \frac{2}{1} ) \: ^{2} \\ \\ : ⟹ {2}^{2} + {2}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ : ⟹ 4 + 4 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \blue{ \boxed{ : ⟹ 8}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

there fore option b is right

hope this helps.!!