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Step by step text solution for Let R be the relation on the set R of real numbers such that aRb iff a-b is and integer. Test whether R is an equivalence relation. If so find the equivalence class of 1 "and" 1/2 wrt. This equivalence relation. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.
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ARIHANT PRAKASHAN-RELATIONS AND FUNCTIONS -TOPIC-01 PRACTICE QUESTION (Exam., Textbook.s Other Imp. Questions) (4 MARKS Questions)
- Let R be the relation on the set R of real numbers such that aRb iff a...
05:12
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- Show that the relation R on the set A of real numbers defined as R = {...
04:59
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- If Z is the set of all integers and R is the relation on Z defined as...
06:49
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- If f:X to Y is a function. Define a relation R on X given by R={(a, b)...
04:00
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- Show that the relation R on IR defined as R={(a,b) :(a le b)}, is refl...
04:40
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- If A = {1,2,3,…,9} and R is the relation in A xx A defined by (a, b) R...
05:07
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- Check whether the relation R defined on the set A = {1,2,3,4,5,6} as R...
04:08
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- Let R be the set of all non -zero real numbers. Then show that f: R ra...
02:17
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- Show that a function f:R to R given by f(x)=3x+5 is a bijective.
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- If f:N to N is defined by. f(n)={((n+1)/(2)", if n is odd"),((n)/(2)...
03:44
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- If the function f:R to R is given by f(x)=(x+3)/(3) and g:R to R is gi...
06:10
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- If A = R -{3} and B = R -{1}. Consider the function f:A to B defined b...
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