The orthocenter of the triangle F1 MN is
(A) (- 9/10, 0)
(B) (2/3, 0)
(C) (9/10, 0)
(D) (2/3, √6)
Correct option (A) (- 9/10, 0)
Explanation:
a = 3
e = 1/3
∴ F1 = (-1, 0)
F2 = (1, 0)
So, equation of parabola is y2 = 4x
Solving simultaneously, we get (3/2, ± √6)
∴ Orthocentre is (-9/10, 0)