English

Let L Denote the Set of All Straight Lines in a Plane. Let a Relation R Be Defined by Lrm If Lis Perpendicular to M for All L, M ∈ L. Then, R is ______________ .

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Question

Mark the correct alternative in the following question:

Let L denote the set of all straight lines in a plane. Let a relation R be defined by lRm if l is perpendicular to m for all l, m  L. Then, R is ______________ .

Options

  • reflexive

  • symmetric

  • transitive

  • none of these

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Solution

Hence, R is symmetric.

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Chapter 1: Relations - Exercise 1.4 [Page 33]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 1 Relations
Exercise 1.4 | Q 31 | Page 33

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