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If R is a Relation on the Set a = {1, 2, 3, 4, 5, 6, 7, 8, 9} Given by X R Y ⇔ Y = 3 X, Then R = (A) {(3, 1), (6, 2), (8, 2), (9, 3)} (B) {(3, 1), (6, 2), (9, 3)} (C) {(3, 1), (2, 6), (3, 9)} (D)

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Question

If R is a relation on the set A = {1, 2, 3, 4, 5, 6, 7, 8, 9} given by x R y ⇔ y = 3 x, then R = _____________ .

Options

  • {(3, 1), (6, 2), (8, 2), (9, 3)}

  • {(3, 1), (6, 2), (9, 3)}

  • {(3, 1), (2, 6), (3, 9)}

  • none of these

MCQ
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Solution

none of these

The relation R is defined as

R = {(x, y) : x, y ∈ A : y = 3x}

⇒ R = {(1, 3), (2, 6), (3, 9)}

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Chapter 1: Relations - Exercise 1.4 [Page 32]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 1 Relations
Exercise 1.4 | Q 18 | Page 32

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