If R is a relation on the set A -1-2-3-4-5-6-7-8-9 given by xRy - y -3 x- then R -A- None of theseB- 3-1-6-2-8-2-9-3C- 3-1-6-2-9-3D- 3-1-2-6-3-9

The correct option is A None of these A = 1, 2, 3, 4, 5, 6, 7, 8, 9 x R y ⇔ y = 3x For x = 1, y = 3 For x = 2, y = 6 For x = 3, y = 9 Thus, R = (1, 3), (2, 6) ...

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Byju's Answer

Standard XII

Mathematics

Definition of Relations

If R is a rel...

Question

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

{(3, 1), (6, 2), (8, 2), (9, 3)}

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{(3, 1), (6, 2), (9, 3)}

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{(3, 1), (2, 6), (3, 9)}

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None of these

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Solution

The correct option is D
None of these

A = {1, 2, 3, 4, 5, 6, 7, 8, 9}

$x R y \Leftrightarrow y = 3 x$

For x = 1, y = 3

For x = 2, y = 6

For x = 3, y = 9

Thus, R = {(1, 3), (2, 6), (3, 9)}.

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Similar questions

Q. If R is a relation on the set A = [1, 2, 3, 4, 5, 6, 7, 8, 9] given by x R y ⇔ y = 3x, 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) none of these

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

The correct option is D None of these A = {1, 2, 3, 4, 5, 6, 7, 8, 9} xRy⇔y=3x For x = 1, y = 3 For x = 2, y = 6 For x = 3, y = 9 Thus, R = {(1, 3), (2, 6), (3, 9)}.

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

The correct option is D
None of these

A = {1, 2, 3, 4, 5, 6, 7, 8, 9}

$x R y \Leftrightarrow y = 3 x$

For x = 1, y = 3

For x = 2, y = 6

For x = 3, y = 9

Thus, R = {(1, 3), (2, 6), (3, 9)}.