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The figure shows the motion of a planet around the sun in an elliptical orbit with sun at the focus. The shaded areas A and B are also shown in the figure which can be assumed to be equal. If t₁ and t₂ represent the time for the planet to move from a to b and d to c respectively, then

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$t_{1} < t_{2}$

$t_{1} = t_{2}$

$t_{1} \leq t_{2}$

$t_{1} > t_{2}$

answer is C.

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Detailed Solution

Areal velocity of the planet remains constant. If the areas A and B are equal then $t_{1} = t_{2}$ .

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