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If t1, t2 and t3 are distinct, the point...

If `t_1, t_2` and `t_3` are distinct, the points `(t_1, 2at_1+at_1^3), (t_2,2at_2+at_2^3)` and `(t_3,2at_3+at_3^3)` are collinear if

A

`t_1t_2t_3=-1`

B

`t_1+t_2+t_3=t_1t_2t_3`

C

`t_1+t_2+t_3=0`

D

`t_1+t_2+t_3=-1`

Text Solution

Verified by Experts

The correct Answer is:
C
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