Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If m 1 and m 2 are the gradients of tangents to hyperbola 
which passes through (6, 2), then-
Text Solution
Verified by ExpertsThe correct answer is:
B
– 
= 1
equation of tangent in slope
y = mx ± 
It passes through (6, 2)
∴ 2 = 6m ± 25m 2 – 16
(2 – 6m) 2 = 25m 2 – 16
4 + 36m 2 – 24m = 25m 2 – 16
11m 2 – 24m + 20 = 0
m 1 + m 2 = 24/11, m 1 m 2 = 20/11
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