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JEE MATHEMATICS MCQ: STRAIGHT LINES

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Application +4 | -1
The orthocentre of the triangle whose vertices are

{at1t2,  a(t1+t2)},{at2t3,a(t2+t3)},  {at3t1,  a(t3+t1)}\left\{ {a{t_1}{t_2},\;a\left( {{t_1} + {t_2})\} ,\{ a{t_2}{t_3},a({t_2} + {t_3}} \right)} \right\},\;\left\{ {a{t_3}{t_1},\;a\left( {{t_3} + {t_1}} \right)} \right\} is
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Correct option: B
{−a,a(t1+t2+t3+t1t2t3)}\left\{ { - a,a\left( {{t_1} + {t_2} + {t_3} + {t_1}{t_2}{t_3}} \right)} \right\}
Option B ({−a,a(t1+t2+t3+t1t2t3)}\left\{ { - a,a\left( {{t_1} + {t_2} + {t_3} + {t_1}{t_2}{t_3}} \right)} \right\}) is correct because it represents the orthocenter of the triangle formed by the given vertices on a parabola.

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