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Mark the Correct Alternative in the Following Question: Let T Be the Set of All Triangles in the Euclidean Plane, and Let a Relation R on T Be Defined as Arb If a is Congruent

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Question

Mark the correct alternative in the following question:

Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as aRb if a is congruent to b for all a, b  T. Then, R is ____________ .

Options

  • reflexive but not symmetric

  • transitive but not symmetric

  • equivalence

  • none of these

MCQ
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Solution

Hence, R is equivalence.

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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 32 | Page 33

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