Published by:
CGP EDU Academic Team
Published on: August 11, 2026
The point on the hyperbola 
which is nearest to the line 3x+ 2y + 1 = 0 is
Text Solution
Verified by ExpertsThe correct answer is:
C
Equation of the tangent at 
is
.
Since the point of contact is nearest to the line 3x + 2y + 1 = 0,
its slope = – 
⇒ ⇒ 
⇒ ⇒ sin θ θ = – 
.
Hence the point is (6, –3).
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