Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  • A particle moves in x-y plane according to rule x = a sin t and y = a cos<img alt="\omega" src="https://learn.careers360

A particle moves in x-y plane according to rule x = a sin \omegat and y = a cos\omegat. The particle follows

Option: 1

An elliptical path


Option: 2

A circular path


Option: 3

A parabolic path


Option: 4

A straight line path inclined equally to x and y-axes


Answers (1)

best_answer

\\ As\ x=a \sin \omega t$ and $y=a \cos \omega t$ \\ $\sin \omega t=\frac{x}{a}$ and $\cos \omega t=\frac{y}{a}$ \\ Hence squaring and adding \\ $\sin ^{2} \omega t+\cos ^{2} \omega t=\frac{x^{2}}{a^{2}}+\frac{y^{2}}{a^{2}}$ \\ or $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{a^{2}}=1$ \\ or $x^{2}+y^{2}=a^{2}$\\ Hence it is a circular path

Posted by

Nehul

View full answer

NEET 2024 Most scoring concepts

    Just Study 32% of the NEET syllabus and Score up to 100% marks

Similar Questions

Trending Articles/News

anam-khan

NEET UG 2026 correction facility opens at neet.nta.nic.in; exam on May 3
anam-khan

NEET 2026 LIVE: NTA application correction window closes today; admit card, exam dates, pattern

Latest Question