Question

The orthocenter of the triangle F₁ MN is

(A) (- 9/10, 0)

(B) (2/3, 0)

(C) (9/10, 0)

(D) (2/3, √6)

Answer 1

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)