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JEE Main 201323 AprilOnline
Exam
JEE Main
Year
2013
Date
23 April
Mode
Online
Subject
Mathematics
Chapter
Parabola

JEE Main 2013 · 23 April · Online · Mathematics · Parabola

The point of intersection of the normals to the parabola y^2=4 x at...

The point of intersection of the normals to the parabola y2=4xy^2=4 x at the ends of its latus rectum is :

Options

  1. A(0,2)(0,2)
  2. B(3,0)(3,0)
  3. C(0,3)(0,3)
  4. D(2,0)(2,0)

Correct answer

B. (3,0)(3,0)

Step-by-step solution

We know that point of intersection of the normal to the parabola y2=4axy^2=4 a x at the ends of its latus rectum is (3a,0)(3 a, 0) Hence required point of intersection =(3,0)=(3,0)
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