Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The value of λ λ , for which the line 2x - 
λ λ y = -3 is a normal to the conic x 2 + 
= 1 is
A
B
C
- 
D
Text Solution
Verified by ExpertsThe correct answer is:
D
We know that the equation of the normal at point (a cos θ θ , b sin θ θ ) on the curve x 2 + 
= 1 is given by ax sin θ θ - b y cosec θ θ = a 2 – b 2 ...(i)
Comparing equation (I) with 2x - 
λ λ y = -3.We get, a sin θ θ = 2, b cosec θ θ 
λ λ or ab = 
λ λ ...(ii)
a = 1, b = 2, ∴ ∴ 2 = 
λ λ or λ λ = 3/8.
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