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RD SHARMA-RELATIONS-Solved Examples And Exercises
- Each of the following defines a relation on N : (i)x > y ...
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- Let R be a relation on the set of all lines in a plane defined by (l...
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- Show that the relation ‘is congruent to’ on the set of all triangle...
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- Show that the relation R defined on the set A of all triangles in a pl...
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- Let n be a positive integer. Prove that the relation R on the set Z o...
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- Show that the relation R on the set A of all the books in a library of...
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- Show that the relation R on the set A={1,\ 2,\ 3,\ 4,\ 5} , given by R...
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- Show that the relation R on the set A={x in Z :0lt=xlt=12} , given by...
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- Show that the relation R on the set A of points in a plane, given by R...
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- Prove that the relation R on the set NxxN defined by (a ,\ b)R\ <=>(c ...
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- Let A={1,\ 2,\ 3,\ ,\ 9} and R be the relation on AxxA defined by (a ...
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- Let N be the set of all natural numbers and let R be a relation on Nxx...
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- Let N denote the set of all natural numbers and R be the relation on ...
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- Prove that the relation congruence modulo m on the set Z of all int...
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- Show that the number of equivalence relations on the set {1, 2, 3} ...
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- Given a non-empty set X , consider P\ (X) which is the set of all subs...
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- Let R be the equivalence relation in the set A={0,\ 1,\ 2,\ 3,\ 4,\ 5}...
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- On the set N of all natural numbers, a relation R is defined as follow...
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- Show that the relation R defined by R={(a , b):a-b is divisible ...
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- Show that the relation R on the set Z of integers, given by R={(a ,\ b...
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