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The curve is given by x = cos 2t, y = si...

The curve is given by `x = cos 2t, y = sin t` represents

A

A parabola

B

Circle

C

Part of a parabola

D

A pair of straight lines

Text Solution

Verified by Experts

The correct Answer is:
C

Given parabola equations are
`x=cos2t, y = sin t`
`rArr` Obviously, `x,y in [-1,1]`
`:.x=1-2sin^(2)t= 1-2y^(2)`
`rArr 2y^(2) =1-x= -(x-1)`
`rArr y^(2)= -(1)/(2) (x-1)`
`rArr` It represents a part of a parabola
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