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CGP EDU Academic Team
Published on: August 14, 2026
If the normals of the parabola y 2 = 4x drawn at the end points of its latus rectum are tangents to the circle (x – 3) 2 + (y + 2) 2 = r 2 , then the value of r 2 is
Text Solution
Verified by ExpertsThe correct answer is:
2
(2)
Sol. Equation of normals at points (1, ±2) are
y = –x + 3 & y = x – 3 ⇒ x + y – 3 = 0 & x – y – 3 = 0
Now 
= r ⇒ r 2 = 2
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