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Choose the correct alternative: Let R be the set of all real numbers. Consider the following subsets of the plane R × R: S = {(x, y) : y = x + 1 and 0 < x < 2} and T = {(x, y) : x − y is an integ

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प्रश्न

Choose the correct alternative:

Let R be the set of all real numbers. Consider the following subsets of the plane R × R: S = {(x, y) : y = x + 1 and 0 < x < 2} and T = {(x, y) : x − y is an integer} Then which of the following is true?

पर्याय

  • T is an equivalence relation but S is not an equivalence relation

  • Neither S nor T is an equivalence relation

  • Both S and T are equivalence relation

  • S is an equivalence relation but T is not an equivalence relation.

MCQ
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उत्तर

T is an equivalence relation but S is not an equivalence relation

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पाठ 1: Sets, Relations and Functions - Exercise 1.5 [पृष्ठ ४६]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 1 Sets, Relations and Functions
Exercise 1.5 | Q 5 | पृष्ठ ४६

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