Figure shows elliptical path abcd of a planet around the sun $S$ such that the area of triangle csa is $\large\frac{1}{4}$ the area of the ellipse. (See figure) With db as the semimajor axis, and ca as the semiminor axis. If $t_1$ is the time taken for planet to go over path abc and $t_2$ for path taken over cda then :

Question

$\begin{array}{1 1}(1) t_1=3t_2 \\ (2) t_1=t_2 \\ (3) t_1=2t_2 \\ (4) t_1=4t_2 \end{array} $