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JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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Analyzing +4 | -1
If O′\mathrm{O}^{\prime} is the orthocentre of triangle ABCA B C whose vertices are at A(at12,2at1),B(at22,2at2)A\left(a t_1{ }^2, 2 a t_1\right), B\left(a t_2{ }^2, 2 a t_2\right) and C(at32,2at3)C\left(a t_3{ }^2, 2 a t_3\right), then the coordinates of the orthocentre of △O′BC\triangle O^{\prime} B C are
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Correct option: C
(at12,2at1)\left(a t_1^2, 2 a t_1\right)
Option C ((at12,2at1)\left(a t_1^2, 2 a t_1\right)) is correct because the orthocenter of △O′BC\triangle O'BC is simply point A, given that O' is the orthocenter of triangle ABC.

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