Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let α be the angle in radians between
+ 
= 1 and the circle x 2 + y 2 = 12 at their points of intersection. If α = tan –1 
, then find the value of 
.
Text Solution
Verified by ExpertsThe correct answer is:
4
Ans. 4
Sol. The points of intersection,
⇒ y = ± 
and x = ± 3
consider the point P(3, 
)
Equation of the tangent at P to the circle is
3x + 
y = 12
Equation of the tangent at P to the ellipse is
+ 
y = 1
if α is angle between these tangents, then
tan α = 
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