Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The slopes of the common tangent to the hyperbolas
– 
= 1 and 
– 
= 1 are-
Text Solution
Verified by ExpertsThe correct answer is:
B
Let common tangent is y = mx + c ...(1)
(1) touch x 2 /9– y 2 /16 = 1
⇒ C = ± 
(1) also touch 
– 
= 1
⇒ c = ± 
⇒ 9m 2 – 16 = – 16m 2 + 9
⇒ 25m 2 = 25 ⇒ m 2 = 1 ⇒ m = ± 1
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