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Every relation which is symmetric and tr...

Every relation which is symmetric and transitive is also reflexive.

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The correct Answer is:
N/a
False
Let R be relation defined by
R = { (1, 2), (2, 1), (1, 1), (2, 2)} on the set A = {1, 2, 3}
it is clear that `(3,3) notin R. ` So, it is not reflexive.
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NCERT EXEMPLAR-RELATIONS AND FUNCTIONS-Relations And Functions
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  7. If the relation R be defined on the set A={1,2,3,4,5} by R={(a,b): |a^...

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  8. If the functions f and g are given by f={(1,\ 2),\ (3,\ 5),\ (4,\ 1)} ...

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  11. State true or false for the given statement : Let R = { (3, 1), (1,...

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  13. Every relation which is symmetric and transitive is also reflexive.

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  14. An integer m is said to be related to another integer n if m is a m...

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  15. Let A = {0, 1} and the set of all natural numbers.Then the mapping f: ...

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  16. The relation R on the set A = {1, 2, 3} defined as R ={(1, 1), (1, 2),...

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  17. The composition of function is commutative.

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  18. The composition of functtions is associative

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  19. Every function is invertible.

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  20. A binary operation on a set has always the identity element.

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