Two mutually perpendicular linear simple harmonic motions of equal amplitude and frequency are imposed on a particle along x and y axis respectively. The initial phase difference between them is π/2. The resultant path followed by the particle is:

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a circle

a straight line

an ellipse

a parabola

answer is A.

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Detailed Solution

Let the component SHM's be x = A cos ωt and y = A cos(ωt - π/2)The equation represents a circle of radius A with its centre at the origin.

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