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C1 is a curve y^2=4x,C2 is curve obtaine...

`C_1` is a curve `y^2=4x,C_2` is curve obtained by rotating `C_1,120^@` in anti -clockwise direction `C_3` is reflection of `C_2` with respect to y=x and `S_1,S_2,S_3` are foci of `C_1,C_2` and `C_3`, respectively, where O is origin.
If `(t^2,2t)` are parametric form of curve `C_1`, then the parametric form of curve `C_2` is

A

`=(1/2(t^2+2sqrt3t),1/2(sqrt3t^2+2t))`

B

`=(1/2(-t^2+2sqrt3t),1/2(sqrt3t^2+2t))`

C

`=(1/2(-t^2+2sqrt3t),1/2(-sqrt3t^2+2t))`

D

`=(1/2(-t^2+2sqrt3t),1/2(-sqrt3t^2-2t))`

Text Solution

Verified by Experts

The correct Answer is:
D
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