Find the Values of B Such That the System $$\left\{ \begin{aligned}x ^ { 2 } + y ^ { 2 } & = 9 \\y & = x + b\end{aligned} \right.$$

question 22

Multiple Choice

Find the values of b such that the system $$\left\{ \begin{aligned}x ^ { 2 } + y ^ { 2 } & = 9 \\y & = x + b\end{aligned} \right.$$ has no solution.

• A) \(( - \infty , - 3 ) \cup ( 3 , \infty )\)
• B) \(( - \infty , \infty )\)
• C) \(( - \infty , - 3 \sqrt { 2 } ) \cup ( 3 \sqrt { 2 } , \infty )\)
• D) \(( - 3 \sqrt { 2 } , 3 \sqrt { 2 } )\)
• E) no solution

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