If A=a,b,c,d ;B=p,q,r,s which of the following relation is a function from A to B
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11th
Maths
Relations and Functions
Introduction to Relations
If A = (a, b, c, d), B = (p.qrs)
If A = (a, b, c, d), B= (p, q, r, s). then which of the following are relations from A to B? Give reasons for your answer:
This question has multiple correct options
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ANSWER
(A) .(C)
If R is a relation from A to B, then R ⊂(A×B) which consists of all ordered pairs of the type. (x, y) such that x∈A,y∈B.
Clearly, R
1
and R
3
are such sets of A×B. The elements (q, b), of R
2
∈(B×A)and not A×B and the elements (q, b), and (s, b), of R
4
also not belong to A×B and as such R
2
and R
4
are not relations from A to B.
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