**Question:**

**Figure shows elliptical path abed of a planet around the sun $S$ such that the area of triangle csa is $\frac{1}{4}$ the area of the ellipse. (See figure) With db as the semimajor axis, and ca as the semiminor axis. If $\mathrm{t}_{1}$ is the time taken for planet to go over path $a b c$ and $t_{2}$ for path taken over cda then:**

$\mathrm{t}_{1}=4 \mathrm{t}_{2}$

$\mathrm{t}_{1}=2 \mathrm{t}_{2}$

$\mathrm{t}_{1}=3 \mathrm{t}_{2}$

$\mathrm{t}_{1}=\mathrm{t}_{2}$

Question of from chapter.

JEE Main Previous Year April 9, 2016

Correct Option: 3

**Solution:**