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Question: Answered & Verified by Expert
The point of intersection of the normals to the parabola $y^2=4 x$ at the ends of its latus rectum is :
MathematicsParabolaJEE MainJEE Main 2013 (23 Apr Online)
Options:
  • A
    $(0,2)$
  • B
    $(3,0)$
  • C
    $(0,3)$
  • D
    $(2,0)$
Solution:
1644 Upvotes Verified Answer
The correct answer is:
$(3,0)$
We know that point of intersection of the normal to the parabola $y^2=4 a x$ at the ends of its latus rectum is $(3 a, 0)$
Hence required point of intersection $=(3,0)$

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