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A particle is subjected to two mutually ...

A particle is subjected to two mutually perpendicular simple harmonic motions such that its `X` and `y` coordinates are given by `X=2 sin omegat` , `y=2 sin (omega+(pi)/(4))`
The path of the particle will be:

A

an ellipse

B

a straight line

C

a parabola

D

a circle

Text Solution

Verified by Experts

The correct Answer is:
A
`x = 2sinomegat` &
`y = 2sin(omegat + pi/4) = sqrt(2)sinomegat + sqrt(2)cosomegat`
`rArr x^(2) + y^(2) - sqrt(2)xy = 2`
which represent oblique ellipse
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