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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
- Fill in the blank: Let R1 be the set of all reals except 1 and * be ...
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- Let Z be the set of all integers and R be the relation on Z defined as...
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- Fill in the blank: Let f : R rarr R be defined by f(x) = (1)/(2 + c...
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- If relation R defined on set A is an equivalence relation, then R is
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- True or False statements : Let R = (3,1), (1,3), (3,3) be a relation...
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- Are the following statement true or false ? Justify the answer : Every...
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- True or False statements : Every function is invertible.
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- True or False statements : The relation R = (a,b), (ba,) on the set ...
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- Let A be a finite set. Then, each injective function from A into itsel...
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- True or False statements : Let A = (a,b,c) and R = (a,b),(a,c). Then...
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- The relation R on the set A = {1, 2, 3} defined as R = {(1, 1), (1, 2)...
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- The function f : R rarr R defined by f(x) = 1 + x^2 is :
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- Every relation which is symmetric and transitive is also reflexive.
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- True or False statements : Let N be the set of natural numbers. Then...
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- True or False statements : A binary operatio on a set has always the...
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- The function f : R rarr R defined by f(x) = 1 + x^2 is :
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- True or False statements : Let N be the set of natural numbers. Then...
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- True or False statements : The function f : R rarr R defined by f(x)...
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- Let A = {0, 1} and N be the set of natural numbers. Then the mapping f...
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- True or False statements : The binary operation * defined in Z by a ...
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