If a relation R is defined on set A -2-3-4-5 as R - a - b - a - b - A - a - b -10- then the relation R isA- an identity relationB- a universal relationC- a void relationD- not a relation

The correct option is C a void relation nbsp;A ={2, 3, 4, 5} R = {(a,b), a,b∈ A:a + b gt; 10} As a, b ∈ A, so a+b ≤ 10 Therefore a+b 10 not possible So, ...

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Standard XII

Mathematics

Empty Relations

If a relation...

Question

If a relation $R$ is defined on set $A = {2, 3, 4, 5}$ as $R = {(a, b), a, b \in A : a + b > 10},$ then the relation $R$ is

an identity relation

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a universal relation

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a void relation

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not a relation

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Solution

The correct option is C a void relation
$A = {2, 3, 4, 5}$
$R = {(a, b), a, b \in A : a + b > 10}$
As $a, b \in A$ , so
$a + b \leq 10$
Therefore
$a + b > 10$ not possible
So, $R$ is a void relation.

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If a relation R is defined on set A={2,3,4,5} as R={(a,b), a,b∈A:a+b>10}, then the relation R is

The correct option is C a void relation A={2,3,4,5} R={(a,b), a,b∈A:a+b>10} As a,b∈A, so a+b≤10 Therefore a+b>10 not possible So, R is a void relation.

If a relation $R$ is defined on set $A = {2, 3, 4, 5}$ as $R = {(a, b), a, b \in A : a + b > 10},$ then the relation $R$ is

The correct option is C a void relation
$A = {2, 3, 4, 5}$
$R = {(a, b), a, b \in A : a + b > 10}$
As $a, b \in A$ , so
$a + b \leq 10$
Therefore
$a + b > 10$ not possible
So, $R$ is a void relation.