A Relation ${R}$ is defined in the set of integers ${I}$ as follows $(x, y) \in {R}$ if $x^2+{y}^2=9$ which of the following is false?

${R}=\{(0,3),(0,-3),(3,0),(-3,0)\}$

JEE MATHEMATICS MCQ: RELATIONS

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A Relation

{R}

is defined in the set of integers

{I}

as follows

(x, y) \in {R}

x^2+{y}^2=9

which of the following is false?

View answer and explanation

Correct option: D

None of the above

Option D is correct because all the given statements about the relation R are true.

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\mathrm{Z}

R

\mathrm{N}

\mathrm{R}

\mathrm{N} \times \mathrm{N}

(\mathrm{a}, \mathrm{b}) \mathrm{R}(\mathrm{c}, \mathrm{d})

a d(b+c)=b c(a+d)

\mathrm{R}

W

R

R=\{(x, y) \in W \times W \mid

x

y

\}

S

R = \{ \left( {a,\;b} \right):1 + ab > 0\}

S

X

R

X

A

B

R

R

N

R = \left\{ {\left( {x,\;y} \right):4x + 3y = 20} \right\}

R