Question

Domain & Range of relation R = { (x ,y ) : x - 2y =0 } defined on the set A = {1,2,3,4} are respectively {1,2,3,4} & {2,4,6,8} Statement II: Domain & Range of a relation R are respectively the sets{a : a ∈A and (a, b) ∈ R} and {b : b∈A and (a,b) ∈ R}

Answer 1

Answer:

A={1,2,3,4,6}

R={(a,b):a,b∈A,b is exactly divisible by a}

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

(ii) Domain of R={1,2,3,4,6}

(iii) Range of R={1,2,3,4,6}

Answer 2

Answer:

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Step-by-step explanation:

Under relation R, we have 3R2,5R2,5R4,7R4, and 7R6

i.e.R={(3,2),(5,2),(5,4),(7,2),(7,6)}

∴ Domain (R)={3,5,7} and range ={2,4,6}.