Let C be the circle relation defined on the following set of real numbers. For every x, y ER, X C y x² + y² = 1. Which of the following is true for C? (Select all that apply.) O C is reflexive. O C is symmetric. O Cis transitive. O C is neither reflexive, symmetric, nor transitive.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let C be the circle relation defined on the following set of real numbers.

For every \( x, y \in \mathbb{R} \), \( x \, C \, y \iff x^2 + y^2 = 1 \).

Which of the following is true for C? (Select all that apply.)

- [ ] C is reflexive.
- [ ] C is symmetric.
- [ ] C is transitive.
- [ ] C is neither reflexive, symmetric, nor transitive.

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Transcribed Image Text:Let C be the circle relation defined on the following set of real numbers. For every \( x, y \in \mathbb{R} \), \( x \, C \, y \iff x^2 + y^2 = 1 \). Which of the following is true for C? (Select all that apply.) - [ ] C is reflexive. - [ ] C is symmetric. - [ ] C is transitive. - [ ] C is neither reflexive, symmetric, nor transitive. **Need Help?** - Read It - Watch It
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