Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The minimum distance between the circle x 2 + y 2 = 9 and the curve 2x 2 + 10y 2 + 6xy =1 is
A
2 
B
2
C
3 – 
D
3 – 
Text Solution
Verified by ExpertsThe correct answer is:
B
Let (r cos θ , r sin θ ) be any point on the curve
2x 2 + 10y 2 + 6xy =1
then 2r 2 cos 2 θ + 10r 2 sin 2 θ + 6r 2 sin θ cos θ = 1
r 2 = 
=
⇒ r max = 1
minimum distance between curve = 2.
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