Question

Find the maximum distance of points moving on following circles |z| =2 and |z – 3 – 3i| = 1

• A. 3(1 +$\sqrt{2}$)
• B. 3
• C. 3$\sqrt{2}$
• D. None of these

Answer 1

Answer: (A)

3(1 +$\sqrt{2}$)

Answer 2

Sol.

AB = Max distance

AB = AO + OC + BC

= 2 +$\sqrt{(3–0)^{2} + (3–0)^{2}}$ + 1

= 3 + 3$\sqrt{2}$

= 3(1 + $\sqrt{2}$)