Published by:
CGP EDU Academic Team
Published on: August 11, 2026
If equation (10x – 5) 2 + (10y – 4) 2 = λ 2 (3x + 4y – 1) 2 represents a hyperbola, then -
Text Solution
Verified by ExpertsThe correct answer is:
C
Given equation of hyperbola
(10x – 5) 2 + (10y – 4) 2 = λ 2 (3x + 4y – 1) 2 can be rewritten as
= 
This is of the form of 
= e
Where P is any point on the hyperbola and S is a focus and M is the point of directrix.
Here 
> 1 ⇒ | λ | > 2 [ e > 1]
⇒ λ < –2 or λ > 2.
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