Solve the System by Using Any Method $$\begin{array} { l } 4 = 2 \lambda x \\10 = 2 \lambda y \\x ^ { 2 } + y ^ { 2 } = 29\end{array}$$

Multiple Choice

Solve the system by using any method.
- $$\begin{array} { l } 4 = 2 \lambda x \\10 = 2 \lambda y \\x ^ { 2 } + y ^ { 2 } = 29\end{array}$$

A) $\{ ( 1,1,5 ) , ( - 1 , - 1 , - 5 ) \}$
B) $\{ ( 1,1,2 ) \}$
C) $\{ ( 1,1,2 ) , ( - 1 , - 1 , - 2 ) \}$
D) $\{ ( 2,5,1 ) , ( - 2 , - 5 , - 1 ) \}$