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Question Details

Board | CBSE |

Book | NCERT Textbook |

Class | 12 |

Subject | Mathematics |

Chapter | 1 [Relations and Functions] |

Exercise | 1.1 |

Question No. | 2 |

Question Type | Exercise |

(ii) \(\mathrm{R}\) is not symmetric since if \(\mathrm{a} \leq \mathrm{b}^2\) then \(\mathrm{b}\) is not less than or equal to \(\mathrm{a}^2\), e.g. \(2<5^2\) but 5 is not less than \(2^2\).

(iii) \(\mathrm{R}\) is not transitive : If \(\mathrm{a} \leq \mathrm{b}^2, \mathrm{~b} \leq \mathrm{c}^2\), then a is not less than \(\mathrm{c}^2\), e.g. \(2<(-2)^2,-2<(-1)^2\), but 2 is not less than \((-1)^2\).

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