Question

A point moves in the plane xy according to the law x - a sin t, y = b coscot. The particle has a I trajectory____.

• A. Hyperbolic
• B. Elliptic
• C. Circular
• D. Straight line

Answer 1

Answer: (B)

Elliptic

Answer 2

$\frac { x } { a }$= sin ωt.......(i)

$\frac { y } { b }$ = cos ωt .......(2)

square & add (1) and (2)

$\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } }$ = 1 which shows ellipse.