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V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
- Show that zero is the identity for addition on R and 1 is the identity...
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- Show that - a is not the inverse of a in N for the addition operation ...
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- Determine whether or not each of the definitions of ** given below giv...
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- For each binary operation ** defined below, determine whether ** is co...
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- Consider the binary operation on a set {1,2,3,4,5}. defined by a ^^ b=...
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- 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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