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For real numbers x and y, define xRy if and only if x – y + 2 is an irrational number. Then the relation R is ______.

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Question

For real numbers x and y, define xRy if and only if x – y + `sqrt(2)` is an irrational number. Then the relation R is ______.

Options

  • Reflexive

  • Symmetric

  • Transitive

  • None of these

MCQ
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Solution

For real numbers x and y, define xRy if and only if x – y + `sqrt(2)` is an irrational number. Then the relation R is reflexive.

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Chapter 1: Relations And Functions - Solved Examples [Page 9]

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NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 1 Relations And Functions
Solved Examples | Q 24 | Page 9

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