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For the curve x = 3cos theta, y=3 sin th...

For the curve `x = 3cos theta, y=3 sin theta, 0le theta le pi,` the tangent is parallel to the x-axis, where `theta =`

A

`pi`

B

0

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
For the tangent to be parallel to be parallel to x-axis, we must have
`(dy)/(dx)=0rArr((dy)/(d theta))/((dx)/(d theta))=0 rArr (3cos theta)/ (-3 sin theta)=0rArr cot theta=0 rArrtheta=(pi)/(2)`
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