Published by:
CGP EDU Academic Team
Published on: August 13, 2026
A tangent to the ellipse 
meets the ellipse 
at P and Q . The angle between the tangents at P and Q of the ellipse 
is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
The given ellipse 
can be written as 
.....(i)
Any tangent to ellipse (i) is 
.....(ii)
Second ellipse is 
, i.e . 
.....(iii)
Let the tangents at 
meet at 
.
∴ ∴ Equation of PQ, i.e . chord of contact is 
.....(iv)
Since (ii) and (iv) represent the same line,
∴ ∴ 
⇒ ⇒ 
and 
So, 
or 
is the locus of 
which is the director circle of the ellipse 
∴ ∴ The angle between the tangents at P and Q will be 
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