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An equation of common tangent to the parabolas \( y^{2}=4 a x \) and \( x^{2}=4 b y \) is
(a) \( a^{\frac{1}{3}} x+b^{\frac{1}{3}} y+(a b)^{\frac{1}{3}}=0 \)
(b) \( a^{\frac{1}{3}} x+b^{\frac{1}{3}} y+(a b)^{\frac{2}{3}}=0 \)
(c) \( a^{\frac{1}{3}} x+b^{\frac{1}{3}} y-(a b)^{\frac{1}{3}}=0 \)
(d) \( a^{\frac{1}{3}} x+b^{\frac{1}{3}} y-(a b)^{\frac{2}{3}}=0 \)
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