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If t(1), t(2) and t(3) are distinct, the...

If `t_(1), t_(2) and t_(3)` are distinct, then 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 colinear if :

A

`t_(1)+t_(2)+t_(3)=0`

B

`t_(1)t_(2)t_(3)=1`

C

`t_(1)+t_(2)+t_(3)=1`

D

`t_(1)+t_(2)+t_(3)=t_(1)t_(2)t_(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
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