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The largest and the shortest distance of...

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

A

`(eta+eta_(2))/(4)`

B

`(eta+eta_(2))/(eta_(1)-eta_(2))`

C

`(2etar_(1)r_(2))/(r_(1)+r_(2))`

D

`(r_(1)+r_(2))/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Applying the properties of ellipse, we have

`(2)/(R )=(1)/(r_(1))+(1)/(r_(2))=(r_(1)+r_(2))/(r_(1)r_(2)) rArr R=(2r_(1)r_(2))/(r_(1)+r_(2))`
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