The slopes of the common tangents to the hyperbola and are

Maths Conic Sections Hyperbola Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

– 2, 2

– 1, 1

1, 2

2, 1

Text Solution

Verified by Experts

The correct answer is:

Given hyperbola are .....(i)

and .....(ii)

Any tangent to (i) having slope m is .....(iii)

Putting in (ii), we get, ⇒ ⇒

⇒ ⇒ .....(iv)

If (iii) is a tangent to (ii), then the roots of (iv) are real and equal.

Discriminant = 0; =

⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ ⇒

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