Which of the following defined on Z is n...

Which of the following defined on Z is not an equivalence relation ?

`(x,y) in S hArr x ge y`

`(x,y) in S hArr x = y `

`(x,y) inS harr x - y ` is a multiple of 3

`(x,y) in S ` if |x-y| is even

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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Textbook based MCQs

S is defined in Z by (x,y ) in S hArr |x-y| le 1. S is ........
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If S is defined on R by (x,y) inR hArr xy ge 0 . Then S is ...........
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Which of the following defined on Z is not an equivalence relation ?
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If a**b=(ab)/3 on Q^+ then the inverse of a(a ne0) for ** is ......
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The number of binary operation on {1,2,3,......,n} is ..........
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If a**b = a +b on R - {1} , then a^(-1) is ........
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For a**b = a +b + 10 on Z , the identity element is ........
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f:R-{q} rarrR -{1},f(x) = (x-p)/(x-q), p ne q , then f is .........
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Check the injectivity and surjectivity of the following function . f...
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f:[-(pi)/2,pi/2]rarr[-1,1] is a bijection , if ......
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f : R rarr R , f(x) = x^(2) +2x +3 is .......
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If a**b =a^(2) +b^(2) on Z , then ** is ..........
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If a**b = a +b - ab on Q^(+) , then the identity and the inverse of a...
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If a**b=(ab)/3 on Q^(+) , then 3**(1/5**1/2) is .......
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If Delta is defined on P(X) (X ne phi) by , A deltaB = (A cupB) - (A ...
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S is defined on N xxN by ((a,b) , (c,d) in S hArr a +d = b +c ........
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If f:R^(+) rarr R , f(x) = x/(x+1) is .......
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If f : R rarr R , f(x) = [x] , g : R rarr R , g(x) = sinx , h : R rarr...
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f: R rarr R , f(x) ={{:(-1,xlt0,),(0,x=0 , g:R rarr R ","g(x)=),(1,xgt...
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If f:{x|xge1,"x" inR}rarr{x|xge2,x inR} f(x) = x+1/(x) then f^(-1)(x...
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