If a: b = c : d = 1 : 6, then what is the value of \(\frac{{{a^2}\; + \;{c^2}}}{{{b^2}\; + \;{d^2}}}?\)

• A. \(\frac{1}{{600}}\)
• B. \(\frac{1}{{60}}\)
• C. \(\frac{1}{{36}}\)
• D. \(\frac{1}{6}\)