If A = 2,3,4,5 and B = 3,6,7,10 . R is a relation defined by R = ( a , b ): a is relatively prime to b , a ∈ A and b ⊂ B then domain of R is

Question

If A = 2,3,4,5 and B = 3,6,7,10 . R is a relation defined by R = ( a , b ): a is relatively prime to b , a ∈ A and b ⊂ B then domain of R is (A)  2,3,5  (B)  3,5  (C)  2,3,4  (D)  2,3,4,5

Tardigrade Admin · Accepted Answer

In Roster form relation R is, R = (2,3),(2,7),(3,7),(3,10),(4,3),(4,7),(5,3), (5,6),(5,7) ∴ Domain of R = 2,3,4,5

Q. If $A = {2, 3, 4, 5}$ and $B = {3, 6, 7, 10} . R$ is a relation defined by $R = {(a, b) : a$ is relatively prime to $b, a \in A$ and $b \subset B}$ , then domain of $R$ is

${2, 3, 5}$

${3, 5}$

${2, 3, 4}$

${2, 3, 4, 5}$

In Roster form relation $R$ is,
$R = {(2, 3), (2, 7), (3, 7), (3, 10), (4, 3), (4, 7), (5, 3), (5, 6), (5, 7)}$
$∴$ Domain of $R = {2, 3, 4, 5}$

Q. If A={2,3,4,5} and B={3,6,7,10}.R is a relation defined by R={(a,b):a is relatively prime to b,a∈A and b⊂B}, then domain of R is

{2,3,5}

{3,5}

{2,3,4}

{2,3,4,5}