Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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R is a Relation from [11, 12, 13] to [8, 10, 12] Defined by Y = X − 3. Then, R−1 is (A) [(8, 11), (10, 13)] (B) [(11, 8), (13, 10)] (C) [(10, 13), (8, 11), (12, 10)] (D) None of These - Mathematics

MCQ

R is a relation from [11, 12, 13] to [8, 10, 12] defined by y = x − 3. Then, R−1 is

Options

  • (a) [(8, 11), (10, 13)]

  • (b) [(11, 8), (13, 10)]

  • (c) [(10, 13), (8, 11), (12, 10)]

  • (d) none of these

     
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Solution

(a) [(8, 11), (10, 13)] R is a relation from [11, 12, 13] to [8, 10, 12], defined by y = x − 3
Now, we have:
11 - 3  = 8
13 - 3 = 10
So, R = {(13,10),(11,8)}
∴ R−1 = {(10,13),(8,11)}

Concept: Relation
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 2 Relations
Q 9 | Page 26
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