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The orthocentre of any triangle formed by three tangents to a parabola y 2 = 4ax lies on the directrix and has the coordinates as a and a(t 1 + t 2 + t 3 + t 1 t 2 t 3 ).

The orthocentre of any triangle formed by three tangents to a parabola y2 = 4ax lies on the directrix and has the coordinates as a and a(t1 + t2 + t3 + t1t2t3).

Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear Shresth
 
Yes you are absolutely right.
The orthocentre of any triangle formed by three tangents to a parabola y2 = 4ax lies on the directrix and has the coordinates as a and a(t1 + t2 + t3 + t1t2t3).

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