The orthocentre of a triangle formed by three tangents to a parabola y2 = 8x lies on
(a) x + 1 = 0
(b) x + 2 = 0
(c) x + = 0
(d) x – 1 = 0
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Correct option (B) x + 2 = 0
Explanation :
Orthocentre of a triangle formed by three tangents to the parabola y2 = 4ax lies on the directrix x + a = 0 (see Problem 4 in the section ‘Subjective Problems’). Here, a = 2 gives that the orthocentre lies on the line x = 2 = 0.