If the sum of square of two positive numbers is \(18 \frac{1}{2}\)and the square root of thier product is \(\frac{\sqrt{35}}{2}\). Find the sum of square of their reciprocal.
1
\(\frac{296}{1225}\)
2
\(\frac{196}{1225}\)
3
\(\frac{144}{1225}\)
4
\(\frac{108}{1225}\)