UPSC CDS Math Circle Questions

If AB is the diameter and O is the centre and the radius is 6.5cm then AB=13cm
Given that AP=x,BP=y. We know that if a point P lies on the circle then ABP forms a right-angled triangle.
So, AB2=AP2+BP2⇒x2+y2=169.
From the above option x=y=6.5cm does not satisfies the condition.