Let the centre of the ellipse be C(x,y)
Clearly, axeas are tangents to the ellipse to the ellipse which are perpendicular and intesect at origin O.
So, origin lies on the director circle
Thus, origin lies on the director circle.
OC is radius of he director circle .
So, `OC^(2)=a^(2)+b^(2)=22+12`
or `x^(2)+y^(2)=5`