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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: The relation R defined on a set A = {0, −1, 1, 2} by xRy if |x2 + y2| ≤ 2, then which one of the following is true? - Mathematics

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Question

Choose the correct alternative:

The relation R defined on a set A = {0, −1, 1, 2} by xRy if |x2 + y2| ≤ 2, then which one of the following is true?

Options

  • R = {(0, 0), (0, −1), (0, 1), (−1, 0), (−1, 1), (1, 2), (1, 0)}

  • R−1 = {(0, 0), (0, −1), (0, 1), (−1, 0), (1, 0)}

  • Domain of R is {0, −1, 1, 2}

  • Range of R is {0, −1, 1}

MCQ

Solution

Range of R is {0, −1, 1}

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Chapter 1: Sets, Relations and Functions - Exercise 1.5 [Page 46]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 1 Sets, Relations and Functions
Exercise 1.5 | Q 3 | Page 46

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