Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Equation of circle of minimum radius which touches both the parabolas y = x 2 + 2x + 4 & x = y 2 + 2y + 4 is -
Text Solution
Verified by ExpertsThe correct answer is:
A
y = x 2 + 2x + 4
= 2x + 2 = 1 ∴ x = – 
y = 
– 1 + 4 = 
∴ point on y = x 2 + 2x + 4 is 
corresponding point on x = y 2 + 2y + 4 is 
∴ equation of circle is
+ 
= 0
i.e. x 2 + y 2 – 
x – 
y – 
= 0
i.e. 4x 2 + 4y 2 – 11x – 11y – 13 = 0
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