Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A circle of radius r is concentric with the ellipse 
+ 
= 1 and the common tangent is inclined to the major axis at an angle of tan –1 
; r ∈ (b, a) then the value of | α | + | β | is
Text Solution
Verified by ExpertsThe correct answer is:
7
(7)
Sol. x 2 + y 2 = r 2 ⇒ y = mx ± r 
⇒ y = mx ± 
For common tangent
r 2 (1 + m 2 ) = a 2 m 2 + b 2
r 2 + r 2 m 2 = a 2 m 2 + b 2
m = 
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