A particle executes $S.H.M.,$ the graph of velocity as a function of displacement is :-
JEE MAIN 2021, Medium
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$v ^{2}=\omega^{2}\left( A ^{2}- x ^{2}\right)$
$\frac{ v ^{2}}{\omega^{2}}+ x ^{2}= A ^{2}$
$\frac{ v ^{2}}{(\omega A )^{2}}+\frac{ x ^{2}}{ A ^{2}}=1$
This is an equation of an ellipse.
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