The figure shows the motion of a planet around the sun in an elliptical orbit with the sun at one focus. The shaded area SAB is twice that of SCD. If `t_(1) and t_(2)` are the times taken by the planet to move from A to B and C to D respectively, then

Options

A. `t_(1)=t_(2)`
B. `t_(2)=2t_(1)`
C. `t_(1)=2t_(2)`
D. none

Answer

c

Explanation

`(t_(1))/(t_(2))=(A_(1))/(A_(2))=(2A_(2))/(A_(2))=2`
`t_(1)=2t_(2)`.