A satellite moving in an elliptical orbit around the earth as shown. The minimum and maximum distance of the satellite from earth are `3` units and `5` units respectively. The distance of satellite from earth when it is at `P` is .........unit

Options

A. `4`
B. `3`
C. `3.75`
D. `6`

Answer

A

Explanation

Semi-major axis, `a=4rArr ae=1/4`
semi-minor axis =`b`
since `b=asqrt(1-e^(2))=4sqrt(1-1/16)=sqrt(15)=sqrt(15)`
`:.` Required distance `=sqrt(b^(2)+1)=4`