Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If a chord of a rectangular hyperbola, parallel to its conjugate axis subtends angles θ θ 1 and θ θ 2 at its vertices, then
A
θ θ 1 + θ θ 2 = 
B
θ θ 1 + θ θ 2 = π π
C
θ θ 1 + θ θ 2 = 
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
B
Let the hyperbola be x 2 – y 2 = a 2 and the chord be x = k. It meet the curve at 
and 
.
Hence tan θ θ 1 = 
.
Also tan θ θ 2 = 
= –tan θ θ 1 = tan ( π π – θ θ 1 )
⇒ ⇒ θ θ 1 + θ θ 2 = π π
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