If the relation R on set A -1-2-3 - 13-14 is defined as R - x - y - 3 x - y -0- find the range of R-A- Range -2-4-6-8B- Range -1-2-3-4C- Range -4-5-6-7D- Range -3-6-9-12

The correct option is D Range = 3, 6, 9, 12 A = 1, 2, 3 . . . . . . 13, 14 R = (x, y): 3x y = 0 R = (1, 3), (2, 6), (3, 9), (4, 12) Domain = 1, 2, 3, 4 set ...

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Byju's Answer

Standard VIII

Mathematics

Frequency Distribution of Grouped Data - Continuous

If the relati...

Question

If the relation R on set A = {1, 2, 3 . . . . . . 13, 14} is defined as R = {(x, y):3x - y = 0}, find the range of R.

Range = {1, 2, 3, 4}

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Range = {4, 5, 6, 7}

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Range = {3, 6, 9, 12}

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Range = {2, 4, 6, 8}

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Solution

The correct option is C
Range = {3, 6, 9, 12}

A = {1, 2, 3 . . . . . . 13, 14}

R = {(x, y): 3x - y = 0}

R = {(1, 3), (2, 6), (3, 9), (4, 12)}

Domain = {1, 2, 3, 4} set of first component of all the ordered pair which belong to R

Range = {3, 6, 9, 12} set of second components of all the ordered pairs which belong to R.

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Similar questions

If the relation R on set A = {1, 2, 3 . . . . . . 13, 14} is defined as R = {(x, y):3x - y = 0}, find the range of R

If Relation R is set A = {1, 2, 3 . . . . . . 13, 14} defined as R = {(x, y):3x - y = 0}. Find range

Q. A relation

R

from set

A = {1, 2, 3, 5}

B = {1, 4, 9, 15}

is defined as :

R = {(x, y) \in R : x = \sqrt{y}},

then

Q. Assertion :The relation

R

in a set

A = {1, 2, 3...14}

defined by

R = {(x, y) : 3 x - y = 0}

have the domain

= {1, 2, 3, 4}

and

R = {3, 6, 9, 12}

. Reason: Domain and Range of the relation

(R)

is respectively the set of all first and second entries of the distinct ordered pair of the relation.

Q. If

A = {1, 2, 3}

B = {1, 4, 6, 9}

and

R

is a relation from

A

B

defined by '

x

is greater than

y

'. The range of

R

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