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The maximum and minimum velocities of a planet are \( 3 \times 10^{4} \mathrm{~ms}^{-1} \) and \( 1 \times 10^{3} \mathrm{~ms}^{-1} \), respectively. The minimum distance of the planet from the sun, if maximum distance is \( 4 \times 10^{4} \mathrm{~km} \), is
(a) \( 4 \times 10^{3} \mathrm{~km} \)
(b) \( 3 \times 10^{3} \mathrm{~km} \)
(c) \( (4 / 3) \times 10^{3} \mathrm{~km} \)
(d) \( 1 \times 10^{3} \mathrm{~km} \)
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