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A relation R on a finite set having n el...

A relation R on a finite set having n elements is reflexive. If R has m pairs then ............

A

`m ge n`

B

`m len`

C

`m=n`

D

None of these

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A
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Textbook based MCQs
  1. If a set A has m elements and a set B has n elements then the number o...

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  2. A relation R on a finite set having n elements is reflexive. If R has ...

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  3. x and y are real numbers . If xRy hArr x - y +sqrt5 is on irrational ...

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  4. A = {1,2,3,4} . A relation R is A is given by F = {(2,2),(3,3),(4,4),...

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  5. A relation R is form set A to B , and a relation S is from set B to C ...

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  6. Relation R = {(4,5),(1,4),(4,6),(7,6),(3,7)} then R^(-1)OR = .......

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  7. Which of the graphs is not a graph of functions ?

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  8. If f(1) = 1, f(n+1)= 2f (n) + 1, n ge 1 then f(n) = .........

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  9. A function y = f(x) satisfies the condition f(x+(1)/x) =x^(2)+1/(x^2)(...

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  10. If f(x+ay,x -ay) = axy then f(x,y) = ......

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  11. For function f(x) = (alpha x)/(x+1) , x ne -1 if fof(x) = x then alph...

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  12. For real valued functions f and g, f(x) = 2sin (pi/x) and g(x) = sqrtx...

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  13. The domain of the real value function f(x) = sqrt(5-4x-x^(2))+x^(2)log...

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  14. The domian of sin^(-1)[log(3)(x/3)] is .......

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  15. Range of the function f(x)= (x^(2) + x + 2)/(x^(2) + x + 1) is……

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  16. If g(x) =x^(2)+x-2 and 1/(2) (gof) (x) =2x^(2)-5x+2 then f(X) =..........

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  17. g(x) = 1 + sqrt(x) and f(g(x)) =3 +2sqrtx+x then f(x) = ......

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  18. If real function f(x) =(x+1)^(2) and g(x) =x^(2) +1 then (fog) (-3) = ...

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  19. f(x) = cot^(-1)x: R^(+) rarr (0,pi) and g(x) = 2x-x^(2): R rarrR then ...

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  20. The domian of f is [-5,7] and g(x) = |2x+5| then the domian of (fog) (...

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