Quantitative Aptitude Simplification Fractions

If the sum of two positive numbers is 65 and the square root of their product is 26, then the sum of their reciprocals is:

1
\(\frac{5}{52}\)
2
\(\frac{7}{52}\)
3
\(\frac{1}{52}\)
4
\(\frac{3}{52}\)

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