Let A = 1,2,3,4,6 . If R is the relation on A defined by (a, b): a, b ∈ A, b is exactly divisible by a . Assertion: The relation R in Roster form is (6,3),(6,2), (4,2) . Reason: The domain and range of R is 1,2,3,4,6 .

Question

Let A = 1,2,3,4,6 . If R is the relation on A defined by (a, b): a, b ∈ A, b is exactly divisible by a . Assertion: The relation R in Roster form is (6,3),(6,2), (4,2) . Reason: The domain and range of R is 1,2,3,4,6 . (A) Assertion is correct, Reason is correct; Reason is a correct explanation for assertion. (B) Assertion is correct, Reason is correct; Reason is not a correct explanation for Assertion (C) Assertion is correct, Reason is incorrect (D) Assertion is incorrect, Reason is correct.

Tardigrade Admin · Accepted Answer

In Roster form R = (1,1),(1,2),(1,3),(1,4),(1,6) (2,4),(2,6),(2,2),(4,4),(6,6),(3,3),(3,6) Domain of R = Set of first element of ordered pairs in R = 1,2,3,4,6 ∴ Range of R = 1,2,3,4,6

Q. Let $A = {1, 2, 3, 4, 6} .$ If $R$ is the relation on A defined by ${(a, b) : a, b \in A, b$ is exactly divisible by a $}$ .
Assertion : The relation $R$ in Roster form is ${(6, 3), (6, 2)$ , $(4, 2)} .$
Reason : The domain and range of $R$ is ${1, 2, 3, 4, 6}$ .

Assertion is correct, Reason is correct; Reason is a correct explanation for assertion.

Assertion is correct, Reason is correct; Reason is not a correct explanation for Assertion

Assertion is correct, Reason is incorrect

Assertion is incorrect, Reason is correct.

In Roster form $R = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 6)$
$(2, 4), (2, 6), (2, 2), (4, 4), (6, 6), (3, 3), (3, 6)}$
Domain of $R =$ Set of first element of ordered pairs in
$R = {1, 2, 3, 4, 6}$
$∴$ Range of $R = {1, 2, 3, 4, 6}$

Q. Let A={1,2,3,4,6}. If R is the relation on A defined by {(a,b):a,b∈A,b is exactly divisible by a }. Assertion : The relation R in Roster form is {(6,3),(6,2), (4,2)}. Reason : The domain and range of R is {1,2,3,4,6}.