Questions
The point of intersection of the normals to the parabola at the ends of its latus rectum is
a
(0, 2)
b
(3, 0)
c
(0, 3)
d
(2, 0)
detailed solution
Correct option is B
Equation of the latus rectum is x = 1 and the coordinates of the ends of the latus rectum are (1, 2) and (1, –2). Equations of the normal at these points is y =–tx + 2at + at3 , where t = ±1, a = 1 ⇒ y + x = 3 and y – x =–3 which intersect at (3, 0).Talk to our academic expert!
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Locus of the point of intersection of the normals to the parabola which are at right angles is
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