11.
a) Without using a calculator, show that \(5 > 3 \sqrt { 2 }\)
b) Two circles \(C _ { 1 }\) and \(C _ { 2 }\) have equations $$x ^ { 2 } + y ^ { 2 } + 6 x - 5 y = \frac { 39 } { 4 } \text { and } x ^ { 2 } + y ^ { 2 } + 2 x - y = \frac { 3 } { 4 }$$ respectively. Show that \(C _ { 2 }\) lies completely inside \(C _ { 1 }\)
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