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The number of elements in the set {(a, ...

The number of elements in the set `{(a, b) : 2a^2 + 3b^2 = 35. a . b in Z}`,where `Z` is the set of all integers, is

A

2

B

4

C

8

D

12

Text Solution

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The correct Answer is:
C
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TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
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  2. If A = {x:x is a multiple of 4} and B= {x:x is multiple of 6} then A ...

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  3. The number of elements in the set {(a, b) : 2a^2 + 3b^2 = 35. a . b i...

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  4. If S is a set with 10 elements and A={(x,y):x,y in S, x ne y}, then th...

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  5. The total number of subset of the set {1,2,…,10} which do not contain ...

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  6. Two finite sets have m and n elements. The total number of subsets of ...

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  7. Suppose A1,A2….. A(30) are thirty sets each having 5 elements and B1B2...

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  8. For any two sets A and B, A-(A-B) equals

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  9. Three sets A,B and C are such that A=B nnCandB=CnnA

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  10. Let A, B and C be the sets such that A uu B=A uu C and A nn B = A nn C...

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  11. Let A and B be sets. If AnnX=BnnX=phi and AuuX=BuuX for some set X the...

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  12. If n (A) =3 ,n(3)=6 and A sube B .Then the number of elements in A cu...

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  13. If n (A)=8 and n (A nnB)=2, then n[(AnnB)' nn A] is equal to

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  14. Given A = {x | x is a root of x^2 - 1 =0}, B = {x | x is a root of x^2...

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  15. If X = {4 ^(n)-2n-1: n in N} and Y={9(n -1) : n in N}, then Xnn Y=

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  16. If N(a)={an:ninN}, then N(5) nn N(7) equals

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  17. If A and B are two non-empty sets, then (B-A) nn (A uuB)' is equal to

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  18. Given n(U) = 20, n(A) = 12, n(B) = 9, n(AnnB) = 4, where U is the univ...

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  19. n(U)=700,n(A)=200,n(B)=300 और n(AnnB)=100, तब n(A'nnB')=

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  20. Sets A and B have 3 and 6 elaments respectively. What can be theminimu...

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