Circle C1⟶ radius r1,O1(1,2),r1=3r′ Circle C2⟶ radius r2,O2(3,−2),r2=r′ ∵C1 and C2 cuts orthogonally ‌r12+r22=01022 ⇒(3r′)2+r2=22+42 ⇒10r2=20⇒r′=2 ∴ Equation of required circle ‌⇒(x−1)2+(y+2)2=2 ‌⇒x2+y2−2x+4y+3=0