1.

Let z be the set of all integers andA = {(a, b) : a2 + 3b2 = 28, a, b e Z}B = {(a, b): a > b, a, b e Z}, then n(AB) is equal to(1) 1(2) 6(3) 3(4) 8​

Answer»

ANSWER:

(2) 6

Step-by-step explanation:

A={(a,B):a

2

+3b

2

=28,a,b∈Z}

={(5,1),(−5,−1),(5,−1),(−5,1),(4,2),(−4,−2),(4,−2),(−4,2),(1,3),(−1,−3),(1,−3),(−1,3)}

and B={(a,b):a

∴A∩B={(1,3),(−1,3),(−4,−2),(−4,2),(−5,−1),(−5,1)}

∴ The NUMBER of elements in A∩B is 6.


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