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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 \( r \). So, the correct relation for areal velocity is
(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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