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Question

The following figure shows the elliptical path of a planet about the sun. The two shaded parts have equal areas. If $t_{1}$ , $t_{2}$ be the time taken by the planet to go from A to B and from C to D respectively.

A

t1<t2

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B

t1>t2

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C

t1=t2

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D

data insufficient

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Solution

The correct option is C
t1=t2

According to Kepler’s law, the line joining a planet and the Sun sweeps equal areas in equal intervals of time.
Given: Area(AOB) = Area(COD)
$∴$ t₁=t₂

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