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A particle is acted simultaneously by mutually perpendicular simple harmonic motions x=a cos`omegat` and `y=asinomegat`. The trajectory of motion of the particle will be
A. an ellipse
B. a parabola
C. a circle
D. a straight line.

1 Answer

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Correct Answer - C
Given
`x=acosomegat` . . . (i)
`y=asinomegat`
Squaring and adding (i) and (ii), we get
`x^(2)+y^(2)=a^(2)cos^(2)omegat+a^(2)sin^(2)omegat=a^(2)`
It is an equation of circle. Thus, trajectory of motion will be circle.

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