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On R, a relation p is defined by xpy if ...

On R, a relation p is defined by xpy if and only if x - y is zero or irrational. Then

A

p is equivalence relation

B

p is reflexive but neither symmetric nor transitive

C

p is reflexive & symmetric but not transitive

D

p is symmetric & transitive but not reflexive

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The correct Answer is:
D
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MTG-WBJEE-SETS , RELATIONS AND FUNCTIONS-WB JEE PREVIOUS YEARS QUESTIONS (SINGLE OPTION CORRECT TYPE)
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  2. On the set R of real numbers we defined xPy i and only if xylt 0. T...

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  3. On R, a relation p is defined by xpy if and only if x - y is zero or i...

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  4. On the set R of real numbers, the relation p is defined by xpy, ( x ,y...

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  5. If f: R rarr R be defined by f(x) =e^(x) and g:R rarr R be defined b...

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  6. The domain of definition of f(x) = sqrt(1-|x|)/(2-|x|) is

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  7. Let f:R->R be a function is defined by f(x)=x^2-(x^2)/(1+x^2), then

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  8. Consider the function f(x)=cos x^(2) then

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  9. Let f(x)=x(1)/(x-1)+(1)/(x)+(1)/(x+1) x lt 1 then

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  10. We define a binary relationon ~ on the set of all 3 xx 3 real matrices...

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  13. Let f: N -> R be such that f(1) = 1 and f(1) + 2f(2) + 3f(3) + nf(n), ...

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  14. On set A= {1,2,3}, relation R and S are given by R={(1,1),(2,2),(3,3)...

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  15. Let R be a relation defined on the set of natural numbers N as R={(...

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  16. Statement-1 : For 0 le p lt 1 and for any positive a and b the intequa...

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  17. Let a lt b lt 0 and I(n) =a^(1//n)-b^(1//n),J(n)=(a-b)^(1//n) for al...

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  18. Let f: X rarr Y and A , B are non void subsets of y then where the s...

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  19. Let S,T ,U be three non void sets and f: S rarr T g: T rarr U so ...

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