Correct Answer - Option 1 :
\(\frac{1}{169}\)
The pattern followed here is, In the first fraction the square of the denominator is taken in the next fraction. Following this pattern the fraction that is related to \(\frac{1}{13}\) must be \(\frac{1}{169}\) as (13)2 = 169.
Hence, \(\frac{1}{169}\) is the correct answer.