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R is a relation from {11, 12, 13} to {8,...

`R` is a relation from {11, 12, 13} to {8, 10, 12} defined by `y=x-3` . Then, `R^(-1)` is (a) {(8, 11), (10, 13)} (b) {(11, 8), (13, 10)} (c) {(10, 13), (8, 11), (8, 10)} (d) none of these

A

`{(8,11),(10,13),}`

B

`{(11,.18),(13,10)}`

C

`{8,11}`

D

`{10,13}`

Text Solution

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The correct Answer is:
A
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TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-CRITICAL THINKING
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  2. Let P={(x,y)|x^(2)+y^(2)=1,x,yinR}. Then, R, is

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  3. R is a relation from {11, 12, 13} to {8, 10, 12} defined by y=x-3 ....

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  4. If R be a relation from A = {1,2,3,4} to B= {1,3,5} i.e., (a,b) in R...

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  5. If f (x) = x^(2) -2x + 3, then the value of x for which f (x) = f(x +1...

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  6. If f (x) =ax ^(2) + bx + 2 and f (1) =3, f (4) =42, then a and b respe...

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  7. If f(x)=x+(1)/(x), such that [f(x)]^(3)=f(x)^(3)+lambdaf((1)/(x)), th...

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  8. If for non-zero x, a. f (x) + b . F ((1)/(x)) =1/x-5, where a ne b, ...

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  9. If A={1,2,3} and B={2,3,4} then whilch of the following relations is a...

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  10. If in greatest integer function, the domain is a set of real numbers, ...

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  11. Which of the following is an even function ?

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  12. Which of the following functions is (are) even, odd or neither: f(x)...

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  13. Let f be a real valued function, satisfying f (x+y) =f (x) f (y) for a...

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  14. If f : Rto R is defined as f (x) = x^(2) -3x +4 for all x in R, then ...

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  15. If f(x) = 1/(1-x), then f(f(f(x))) is equal to

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  16. If f (x) =(x+3)/(4x-5) and t =(3+ 5x)/( 4x -1), then f (t) is

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  17. If f = {(1,4), (2,5),(3,5) and g ={(4,8),(5,7),(6,9)}, then gof is

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  18. If f (x) = (x-1)/(x +1) then f (alphax )=

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  19. If f be the greatest integer function and g be the moduls function, th...

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  20. If f : R to , then f (x) =|x| is

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