Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The differential equation representing the family of hyperbola a 2 x 2 –b 2 y 2 = c 2 is -
A
+ 
= 
B
+ 
= 
C
– 
= 
D
= 
– 
Text Solution
Verified by ExpertsThe correct answer is:
A
Differentiating the equation twice w.r.t. x, we have
2a 2 x – 2b 2 yy' = 0, a 2 – b 2 (y' 2 + yy'') = 0
Eliminating a 2 and b 2 we have the differential equation
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