$\"\"$

Statement: If the asymptotes of the hyperbola $\"\"$ intersect at right angles then $\"\"$ .

The asymptotes of the hyperbola $\"\"$ are $\"\"$ .

Consider $\"\"$ .

Apply derivative on each side.

$\"\"$ .

Consider $\"\"$ .

Apply derivative on each side.

$\"\"$ .

Asymptotes meet at right angles, then $\"\"$ .

$\"\"$

Hence the statement is true.

$\"\"$

The statement is true.