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In planetary motion the areal velocity of position vector of a planet depends on angular velocity \( (\omega) \) and the distance of the planet from sun \( (r) \). If so the correct relation for areal velocity is
[EAMCET 2003]
(a) \( \frac{d A}{d t} \propto \omega r \)
(b) \( \frac{d A}{d t} \propto \omega^{2} r \)
(c) \( \frac{d A}{d t} \propto \omega r^{2} \)
(d) \( \frac{d A}{d t} \propto \sqrt{\omega r} \)
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