S is defined on N xxN by ((a,b) , (c,d) ...

S is defined on `N xxN` by `((a,b) , (c,d) in S hArr a +d = b +c ........`

S is reflexive , but not symmetric

S is reflexive , and transitive only

S is an equivalence relation

S is transitive only

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Let R be a relation on N xx N defined by (a,b) R(c, d) hArr a + d= b + c for all (a,b) (c,d) in N xx N show that, (a,b) R (c, d) rArr (c, d) R (a, b) for all (a, b) (c, d) in N xx N

Let R be a relation on N xx N defined by (a,b) R(c, d) hArr a + d= b + c for all (a,b) (c,d) in N xx N show that, (a, b) R (a,b) for all (a, b) in N xx N

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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Textbook based MCQs

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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f:R rarrR , f(x) =x/(sqrt(1+x^2)),AAx inR. Then find (fofof) (x).
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f:R rarrR , f(x) =x^(2) , g : R rarr R , g(x) = 2^(x) , then {x|(fog)(...
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The relation S on set {1,2,3,4,5} is S = {(1,1),(2,2),(3,3),(4,4),(5,5...
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The function f: R rarr R ,f(x) = 5x+7 then the function f is ............
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The number of binary operation on set {1,2} is .......
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The function f : R^(+) rarr R^(+), f(x) =x^3,g: R^(+)rarr R^(+),g(x) =...
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a **b = a^(2)+b^(2) + ab + 2 on Z then 3**4 = ......
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