Question

# The resultant of two rectangular simple harmonic motions of the same frequency and unequal amplitude but differing in phase by $$\pi/2$$ is

A
simple harmonic
B
circular
C
elliptical
D
parabolic

Solution

## The correct option is C ellipticalThe combined equation of two SHMs in perpendicular directions is $$\frac{x^{2}}{A_{1}^{2}}+\frac{y^{2}}{A_{2}^{2}}=1$$, which is an equation of ellipse. Hence, option C is correct.Physics

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