question_answer

Figure shows elliptical path abcd 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 semi major axis, and ca as the semi minor axis. If \[{{t}_{1}}\]is the time taken for planet to go over path abc and \[{{t}_{2}}\]for path taken over cda then :                   JEE Main Online Paper (Held On 09 April 2016)

A)                 \[{{t}_{1}}=3{{t}_{2}}\]                                 

B) \[{{t}_{1}}={{t}_{2}}\]                

C) \[{{t}_{1}}=2{{t}_{2}}\]                                 

D) \[{{t}_{1}}=4{{t}_{2}}\]