A circle is passing through (3,4),(3,2) and (1,4C(1,4)...B(3,4)
Clearly, △ABC is a right angle triangle - centre of circle is mid-point of AC i.e., O(2,3) r=AO=√(3−2)2+(2−3)2=√1+1=√2 Equation of circle in parameter form is x=2+√2cosθ⇒y=3+√2sinθ ∴a=2,b=3,r=√2 ba⋅ra=(3)2(√2)2=9×2=18