The set of integral values of m for which line x + y = m cu…

Maths Conic Sections Hyperbola Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

The set of integral values of m for which line x + y = m cuts hyperbola xy = 1 at integral points-

{1, –1}

{–2, 2}

Null set

None of these

Text Solution

Verified by Experts

The correct answer is:

x + y = m; x y = 1

on the curve xy =1

we have two integral points (1, 1) & (–1, –1)

These points will lie on the line x +y = m

⇒ m = ± 2

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