Question

Consider four circles $(x ± 1)² + (y ± 1)² = 1$, then the equation of smaller circle touching these four circles is

• A. $x^{2}+y^{2}=3-\sqrt{2}$
• B. $x^{2}+y^{2}=6-3\sqrt{2}$
• C. $x^{2}+y^{2}=5-2\sqrt{2}$
• D. $x^{2}+y^{2}=3-2\sqrt{2}$

Hint:

Consider four circles $(x ± 1) = 1$, then the equation of smaller circle touching these four circles is

Answer 1

The Correct Option is D