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Q.

The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of π  results in the displacement of the particle along

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a

Straight line

b

Circle

c

Ellipse

d

Figure of eight

answer is A.

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Detailed Solution

If  y1=a1sinω t and  y2=a2sin(ω t+π)⇒y1a1+y2a2=0⇒y2=−a2a1y1  This is the equation of straight line.
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