Question

A particle is acted simultaneously by mutually perpendicular simple harmonic motion x = a cos ωt and y = a sin ωt. The trajectory of motion of the particle will be(a) an ellipse(b) a parabola(c) a circle(d) a straight line

Answer 1

the answer is the parabola

Answer 2

Answer.

c. circle

Explanation:

Given x=acosωt…(i)

y=asinωt…(ii)

Squaring and adding Eqs (i) and (ii)

⇒x^2+y^2=a^2[∵cos^2ωt+sin^2ωt=1]

This is the equation, of the circle

Clearly the locus is a circle of constant radius a.