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CGP EDU Academic Team
Published on: August 14, 2026
The locus of the point of intersection of two tangents to the ellipse 
which are inclined at angles θ θ 1 and θ θ 2 with major axis such that θ θ 1 + θ θ 2 is constant α α is
Text Solution
Verified by ExpertsThe correct answer is:
A
Proceeding as in Q. 186, we get
m 1 + m 2 = 
and m 1 m 2 = 
.
Given: θ θ 1 + θ θ 2 = constant = α α (say)
∴ ∴ tan ( θ θ 1 + θ θ 2 ) = tan α α
⇒ ⇒ 
⇒ ⇒ 
or
⇒ ⇒ 
.
Hence, locus of P is 2xy cot α α = x 2 - y 2 + b 2 - a 2 .
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