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Two simple harmonic motions act on a particle. These harmonic motions are x = A cos (ωt + δ); y =A cos (ωt + α) When δ = α + \(\frac{π}{2}\), the resulting motion is ……. 

(a) A circle and the actual motion is clockwise 

(b) an ellipse and the actual motion is counter clockwise 

(c) a ellipse and the actual motion is clockwise 

(d) a circle and the actual motion is counter clockwise

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(d) a circle and the actual motion is counter clockwise

Squaring and adding the two equations, We get x2 + y2 = A2 . This is an equation of a circle. Hence the resultant motion is circular. The motion is counter clockwise.

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