Question

The area enclosed by the quadrilateral formed by $x^2{y}^2-9x^2-25y^2+225=0$ is

• A. $60$ sq.units
• B. $100$ sq.units
• C. $30$ sq.units
• D. $20$ sq.units

Answer 1

The correct option is A $60$ sq.units

$x^2{y}^2-9x^2-25y^2+225=0$
$\Rightarrow x^2(y^2-9)-25(y^2-9)=0$
$\Rightarrow (y^2-9)(x^2-25)=0$


Hence area closed by the quadrilateral $=10\times 6=60$ sq.units