The number of positive integral pairs $(x, y)$ satisfying the equation $x^{2} - y^{2} = 3370$ is

0.0

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Solution

The correct option is A 0.0
$3370 = 2 \times 5 \times 337$
$So 3370 has only one even factor.$
$∴ x^{2} - y^{2} = 3370 \Rightarrow (x - y) (x + y) = 3370$
$∴ the factors of x^{2} - y^{2} = (x - y) (x + y) would be an even number and an odd number which won't be possible for 2 integrals values of x and y .$

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