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Question

If a and b are positive integers such that (a2b2) is a prime number, then

A
a2b2=(a+b)
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B
a2b2=ab
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C
a2+b2=ab
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D
a2+b2=a+b
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Solution

The correct option is A a2b2=(a+b)
if a and b are positive numbers,
then (a+b) will also be a positive number.

a2b2=(a+b)(ab)
it is given that (a2b2) is a prime number so, its factors can be only 1 and itself,
and (a+b) is a positive integer so, (ab) should be equal to 1

a2b2=(a+b)

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