Q. A particle moves in $x - y$ plane according to rule $x = a\sin{\omega t}$ and $y = a\cos{\omega t.}$ The particle follows
A) An elliptical path
B) A circular path
C) A parabolic path
D) A straight line path inclined equally to $x$ and $y - axis$
Explanation
(b) $\frac{x}{a} = \sin{\omega t}$
$\frac{y}{a} = \cos{\omega t}$
$\frac{y^{2}}{a^{2}} + \frac{x^{2}}{a^{2}} = 1 \Rightarrow y^{2} + x^{2} = a^{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.