Tangents drawn from (c, d) to the hyperbola make angles a…

Maths Conic Sections Hyperbola Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Tangents drawn from (c, d) to the hyperbola make angles and with the x - axis. If tan then c 2 - d 2 =

a 2 - b 2

b 2 - a 2

a 2 + b 2

a 2 b 2

Text Solution

Verified by Experts

The correct answer is:

If ‘m’ is the slope of the tangent through (c, d) to the Hyperbola, then

(e 2 – a 2 ) m 2 – 2cdm+d 2 +b 2 =0

⇒ ⇒ m 1 m 2 =

⇒ ⇒ tan α α . tan β β =

⇒ ⇒ e 2 – e 2 = a 2 +b 2

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