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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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DISHA PUBLICATION-SETS-EXERCISE-1 : CONCEPT BUILDER
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  2. The cardinality of the set P{P[P(phi)]} is

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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 A={x:x=n^(2),n=1,2,3}, then number of proper subsets is

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  5. Let A, B, C be three sets. If AinBandBsubC then

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  6. Let V" "=" "{a ," "e ," "i ," "o," "u} and B" "=" "{a ," "i ," "k ," "...

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  7. If P={x in R : f(x)=0} and Q={x in R : g(x)=0 }, then PuuQ is

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  8. If A={1,2,3,4},B={2,3,5,6}andC={3,4,6,7}, then

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  9. If the set A and B are as follows : A={1,2,3,4},B={3,4,5,6}, then

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  10. Consider the following relations : 1. A-B=A -(Ann B) 2. A = (A nnB...

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  11. If A={x inR:0ltxlt3}andB={x inR:1lexle5} then ADeltaB is

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  12. Let X and Y be two non-empty sets such that XnnA=YnnA=phiandXuuA=YuuA ...

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  13. The set (A//B)uu(B//A) is equal to

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  14. if A ={x:x is a multiple of 3 } and , B={x:x is a multiple of 5 }...

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  15. If A and B are two sets prove that Ann(B-A)=phi

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  16. Each student in a class of 40, studies at least one of the subjects En...

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  17. If A and B are two sets, then (AuuB)'uu(A'nnb) is equal to

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  18. If A={1,2,5} and B={3,4,5,9}, then ADeltaB is equal to

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  19. Let X = {Rani, Geeta, Akbar} be the set of students of Class XI who a...

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  20. Let A={3,6,9,12,15,18,21} B={4,8,12,16,20} C={2,4,6,8,10,12,14,16}...

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