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Consider that the set A = {a, b, c}. Giv...

Consider that the set `A = {a, b, c}`. Give an example of a relation R on A. Which is :
(i)reflexive and symmetric but not transitive
(ii) symmetric and transitive but not reflexive
(iii) reflexive and transitive but not symmetric.

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Illustrative Example
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  14. Let A = {1,2,3},B={4,5} and let f={(1,4),(2,5),(3,5)}. Show that 'f' i...

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  15. Let N rarr N be defined by f(x) = 3x. Show that 'f' is not an onto fun...

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  16. Let A = {1, 2, 3}, B = {4, 5, 6, 7}and let f = {(1, 4), (2, 5), (3, 6)...

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  17. If f(x)=x^3-1/(x^3) , show that f(x)+f(1/x)=0.

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  18. If f is a real function defined by f(x)=(x-1)/(x+1), then prove that f...

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  20. If f(x)=loge((1-x)/(1+x)); prove that f(a)+f(b)=f((a+b)/(1+a b))

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