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

---

Definitions:

C2C

Consumer-to-Consumer (C2C) refers to transactions conducted between two consumers, typically facilitated by a third-party platform such as online marketplaces.

Fundamental Purpose

The core reason or primary objective behind an organization's existence, actions, or proposals.

Social Media

Websites and applications that enable users to create and share content or participate in social networking.

Small Company

A business with a limited number of employees and a relatively low volume of sales.