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For the curve y=3 sin theta * cos th...

For the curve
`y=3 sin theta * cos theta , x =e^(theta) sin theta , 0 le theta le pi` , the tangent is parallel to x-axis when ` theta ` is

A

`(3pi)/(4)`

B

`(pi)/(4)`

C

`(pi)/(2)`

D

`(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
B
`y=(3)/(2)sin2theta`
`x=e^(theta)sintheta`
`(dy)/(dx)=(3cos2theta)/(e^(theta)(costheta+sintheta))=(3)/(e^(theta))(costheta-sintheta)`
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