Question

The position of the point (2, 5) relative to the hyperbola $9x^2-y^2=1$

• A. Inside
• B. Outside
• C. lie on
• D. None of these

Answer 1

The correct option is A

Inside

Simply substitute the point (2, 5) on the LHS of the standard hyperbola,

$9x^2-y^2={9.2}^2-5^2$

=9.4-25

=11

$>1$

This implies that the point lies inside the given hyperbola.

Hence option (a)