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The identity element for the binary oper...

The identity element for the binary operation * defined on Q - (0) as a * b `= (ab)/(2)` for all a , b `in` Q - (0) is

A

1

B

0

C

2

D

none of these

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
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  2. Let f : R rarr R be defined by f(x) = x^2 +1, then, f^-1(17) and f^-1 ...

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  3. Which of the following function from Z to itself are bijections?

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  4. Let f : R rarr R be the functions defined by f(X) = x^3 + 5, then f^-...

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  5. Let f : R - (3/5) rarr R be defined by f(X) = (3x+2)/(5x-3) , then

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  6. Let f : R rarr Rbe given byf(X) = tan x, then f^-1 (1) is

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  7. Let f:R rarr R be defined by f(x)={{:(2x, xgt3),(x^2,1lexlt3),(3x,xl...

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  8. Let f(x)=ax^(2)+bx+c where a,b,c epsilonR, a!=0. Suppose |f(x)|le1,AA ...

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  9. Which of the following functions is differentiable at x = 0 ?

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  10. Let f: RrarrR be defined f(x) = sin x and g: RrarrR be defined by g...

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  11. Let f: R rarr R be defined as f(X) = 3x. Then

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  12. Let f : X rarr Y and g : Y rarr Z be two invertible functions. Then go...

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  13. Let f (x) = x^2 and g (x) = sqrtx, then

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  14. If f(x) = x+1 And g (X) = 2x, then f (g(x)) is equal to

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  15. If f(x)={x, when x is rational and 0, when x is irrational g(x)={0, wh...

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  16. Let f : R rarr R be defined by f(x) = 1/x AA x inR, then f is

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  17. let f : N rarr R be the function defined by f(x) = (2x-1)/(2) and g :...

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  18. The identity element for the binary operation * defined on Q - (0) as ...

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  19. If A = (a,b), then the number of binary operations that can be defined...

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  20. Let * be the binary operation defined on R by a * b = 1 + ab for all a...

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