Figure elliptical path abcd of a planet around the sun S such that the area of Delta csa is `(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:

Options

A. `t_1=t_2`
B. `t_1=2t_2`
C. `t_1=3t_2`
D. `t_1`

Answer

C

Explanation

Let area of ellipse = A & areal velocity = `V_A`
then , `t_1=(A//2+A//4)/V_A =(3/4A)xx1/V_A ` and `t_2=(A//2-A//4)/V_4 =(1/4A) xx 1/V_A rArr t_1=3t_2`