Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A circle of radius r is concentric with an ellipse 
= 1. If common tangent is inclined to the major axis at an angle of θ , then tan 2 θ equals-
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
equation of ellipse
= 1 ⇒ Equation of circle x 2 + y 2 = r 2
Equation of tangent to ellipse
⇒ y = mx ± 
Equation of tangent to circle
⇒ y = mx ± r 
for common tangent
± r 
= ± 
r 2 + r 2 m 2 = a 2 m 2 + b 2 ⇒ a 2 m 2 – r 2 m 2 = r 2 – b 2
m 2 = 
⇒ tan 2 θ = 
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