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A curve parametrically given by x=t+t^(3...

A curve parametrically given by `x=t+t^(3)" and "y=t^(2)," where "t in R." For what vlaue(s) of t is "(dy)/(dx)=(1)/(2)`?

A

`(1)/(3)`

B

2

C

3

D

1

Text Solution

Verified by Experts

The correct Answer is:
A, D
`(dy)/(dx)=(2t)/(1+3t^(2))=(1)/(2)`
`rArr" "3t^(2)-4t+1=0`
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