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V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
- Consider the binary operation ** on the set A= {1,2,3,4,5} given by th...
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- Let **' be the binary operation on N given by a**'b= L.c.m. of a and b...
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- Consider an operation ** defined on the set A={1,2,4,8} by a**b=LCM ...
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- Let ast be a binary operation on N defined by aastb=HCF of a and b I...
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- Let ** be a binary operation on the set Q of rational numbers as follo...
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- Let A=NtimesN and ast be a binary operation on A defined by (a,b)...
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- State whether the following statements are true or false. Justify For...
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- Consider a binary operation ** on N defined as a**b=a^3+b^3. Choose th...
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- If R1 and R2 are equivalence relations in a set A, show that R1 nn R2 ...
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- Let X={1,2,3,4,5,6,7,8,9}. Let R1 be a relation in X given by R1={(x, ...
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- Let f: X rarr Y, be a function. Define a relation R in X given by: R={...
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- Determine which of the following binary operation on the set R are ass...
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- Find the number of all one-one functions from set A={1,2,3} to itself.
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- Consider the identity function, IN: N rarr N defined as In(x)=x forall...
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- Consider a function f : [0, pi/2] rarr R given by f(x) = sin x and g...
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- Let f:RrarrR be defined as f(x) = 10x+7 Find the function g:RrarrR s...
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- Let f:WrarrW be defined as f(n) = n-1 if n is odd and f(n) = n+1 i...
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- If f:RrarrR is defined by f(x) = x^2-3x+2, find f(f(x))
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- Show that the function f:R rarr R given by f(x)=x^3 is injective.
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- Given a non empty set X, consider P(X) which is the set of all subsets...
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