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If R ={ (x,y) : x,y in z, x^(2) +y^(2) l...

If R ={ (x,y) : x,y `in z, x^(2) +y^(2) le 4` } is a relation on `Z Z` then domain of R is { 0,-1,k,-2,2} find the value of k.

A

`{0,1,2}`

B

`{0,-1,-2}`

C

`{-2,-1,0,1,2}`

D

`{-2,-1,0,1}`

Text Solution

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The correct Answer is:
C
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TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-CRITICAL THINKING
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  2. If R is a relation from a finite set A having m elements to a finite s...

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  3. If R ={ (x,y) : x,y in z, x^(2) +y^(2) le 4 } is a relation on Z Z the...

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  4. Prove that the relation congruence modulo m on the set Z of all int...

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  5. Which one of the following relations on R is an equivalence relation?

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  6. Let R be an equivalence relation on a finite set A having n elements....

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  8. The relation R defined in N as aRbimpliesb is divisible by a is

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  9. The relation is subset of on the power set P (A) of a set A is

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  10. Let P={(x,y)|x^(2)+y^(2)=1,x,yinR}. Then, R, is

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

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

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

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

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