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A particle is acted simultaneously by mutually perpendicular simple hormonic motions x = a cos ωt and y = a sin ωt

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A particle is acted simultaneously by mutually perpendicular simple hormonic motions x = a cos ωt and y = a sin ωt . The trajectory of motion of the particle will be

(a) an ellipse.

(b) a parabola.

(c) a circle.

(d) a straight line.

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Trajectory of motion of the particle will be (c) a circle.

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