When two mutually perpendicular simple harmonic motions of same frequency, amplitude and phase are susperimposed

Options

A. the resulting motion is uniform circular motion.
B. the resulting motion is a linear simple harmonic motions along a straight ine inclined equally to the straight lines of motion of component ones.
C. the resulting motion is an elliptical motion, susmmetical about the lines of motion of the compounents.
D. the two `S.H.M.` will cancel each other.

Answer

B

Explanation

`y = A sin(omegat + phi)` and `x = A sin (omegat + phi)`
then `y = x` so path is straight line.