Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The angle between lines joining the origin to the points of intersection of the line 
x + y = 2 and the curve y 2 - x 2 = 4 is:
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
On homogenizing y 2 - x 2 = 4 with help of the line 
x + y = 2
y 2 - x 2 = 4 
⇒ ⇒ y 2 - x 2 = 3x 2 + y 2 + 2 
xy
⇒ ⇒ 4x 2 + 2 
xy = 0
tan θ θ = 
θ θ = tan -1 
.
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