Range ? Of which function!!

Algebra Level 4

\[x=\frac { 4\lambda }{ 1+{ \lambda }^{ 2 } }\] \[y=\frac { 2-2{ \lambda }^{ 2 } }{ 1+{ \lambda }^{ 2 } }\] \[\lambda \in \Re\] If the range of \[{ x }^{ 2 }+{ y }^{ 2 }-xy\] is [a,b] , find a+b.

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