Two simple harmonic motions, as shown, are at right angles. They are combined to form Lissajous figures. x ( t ) = A sin ( a t + δ ) y ( t ) = B sin ( b t ) Identify the correct match below

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From the two mutually perpendicular S.H.M.'s, the general equation of Lissajous figure, A 2 x 2 ​ + B 2 y 2 ​ − A B 2 x y ​ cos δ = sin 2 δ ​ x = A sin ( a t + δ ) y = B sin ( b t + r ) ​ Clearly A  = B hence ellipse.

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