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 the perpendicular to the major axis of the orbit drawn from the sun

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

From the property of ellipse
`2/R=1/(r_1)+1/(r_2)rArr2/R=(r_1+r_2)/(r_1r_2)rArrR=(2r_1r_2)/(r_1+r_2)`