Question:

If \(\rho=\{(x,y)\mid x^2+y^2=1;\ x,y\in\mathbb R\}\), then \(\rho\) is

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Check definition directly for relations.
Updated On: Mar 23, 2026
  • reflexive
  • symmetric
  • transitive
  • anti-symmetric
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The Correct Option is B

Solution and Explanation


Step 1:
If \((x,y)\in\rho\), then \((y,x)\in\rho\).
Step 2:
Hence relation is symmetric.
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