\( A B C D \) and \( E F G C \) are squares and the curve \( y=k \s...

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\( A B C D \) and \( E F G C \) are squares and the curve \( y=k \sqrt{x} \) passes through the origin \( D \) and the points \( B \) and \( F \). The ratio \( \frac{F G}{B C} \) is :
(a) \( \frac{\sqrt{5}+1}{2} \)
(b) \( \frac{\sqrt{3}+1}{2} \)
(c) \( \frac{\sqrt{5}+1}{4} \)
(d) \( \frac{\sqrt{3}+1}{4} \)
\( \mathrm{P} \)
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