If the two tangents drawn on hyperbola = 1 in such a way t…

Maths Conic Sections Hyperbola Single Correct MCQ

Published on: August 14, 2026

If the two tangents drawn on hyperbola = 1 in such a way that the product of their gradients is c 2 , then they intersects on the curve

a) y 2 + b 2 = c 2 (x 2 – a 2 )

y 2 + b 2 = c 2 (x 2 + a 2 )

ax 2 + by 2 = c 2

None of these

Text Solution

Verified by Experts

The correct answer is:

Let (h,k) be the point of intersection. By SS 1 = T 2 ,

⇒ ⇒ x 2

+ ..... = 0

We know that m 1 m 2 =

⇒ ⇒ m 1 m 2 = = c 2 ⇒ ⇒ = c

2 or (y 2 + b 2 = c 2 (x 2 – a 2 )

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