The largest and the shortest distance of the earth from the sun are `r_1 and r_2` . Its distance from the sun when it is at pependicular to the major-axis of the orbit drawn from the sun is .........

Options

A. `(r_1+r_2)/4`
B. `(r_1r_2)/(r_1+r_2)`
C. `(2r_1r_2)/(r_1+r_2)`
D. `(r_1+r_2)/(3)`

Answer

C

Explanation

`implies r_1 =((1+e)a)/2 and r_2 =(1-e)a`
`rarra=(r_1+r_2)/2 and r_1.r_2=(1-e^2)a^2`
`b^2/a=(a^2(1-e^2))/(a) implies (((r_1r_2))/((r_1+r_2)))/2=(2r_1r_2)/(r_1+r_2)`