JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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Analyzing +4 | -1

t_1, t_2

and

t_3

are distinct and the points

\left(t_1, 2 a t_1+a t_1^3\right),\left(t_2, 2 a t_2+a t_2^3\right)

\left(t_3, 2 a t_3+a t_3^3\right)

are collinear, then

View answer and explanation

Correct option: C

t_1+t_2+t_3=0

Option C (

t_1+t_2+t_3=0

) is correct because the collinearity condition of the three points leads to this relationship between the parameters.

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