Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The equation 16x 2 – 9y 2 + 32x + 36y – 164 = 0 represents a hyperbola with-
A
Length of conjugate axis = 8
B
Centre at (1, 2)
C
Length of transverse axis = 6
D
Eccentricity = 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b, c, d)
16 (x –1) 2 – 9 (y –2) 2 = 144
⇒ 
– 
= 1
⇒ length of conjugate axis = 2 × 4 = 8
Length of transverse axis = 2 × 3 = 6
centre ≡ (1, 2)
Eccentricity e = 
e = 
= 
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