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Let R be the relation on the set R of re...

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.

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MODERN PUBLICATION-TEST PAPER 7-EXERCISE
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  3. Let R be the relation on the set R of real numbers such that aRb iff a...

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  5. Prove that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}|=abc(1+1/a+1/b+1/c)or(ab...

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  6. If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...

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  12. If tangents are drawn from the origin to the curve y = sin x then sho...

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  13. Test the function y = (x - 5)^5( x + 2)^2 for extreme values.

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  14. Evaluate : int ((sinxcosx)/(sin2x) - 2sinx+3)dx .

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