1.

Let A={1,2} and B={3,4}. Which of the following cannot be relation from set A to set B?(a) {(1,1), (1,2), (1,3), (1,4)}(b) {(1,3), (1,4)}(c) {(2,3), (2,4)}(d) {(1,3), (1,4), (2,3), (2,4)}The question was asked in homework.My question is taken from Relations in portion Relations and Functions of Mathematics – Class 11

Answer»

The CORRECT answer is (a) {(1,1), (1,2), (1,3), (1,4)}

EXPLANATION: A relation from set A to set B is a subset of cartesian product of A X B. In ordered PAIR, FIRST element should belong to set A and second element should belongs to set B.

In {(1,1), (1,2), (1,3), (1,4)}, 1 and 2 should also be in the set B which is not so as GIVEN in question.

Hence, {(1,1), (1,2), (1,3), (1,4)} is not a relation from set A to set B.



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