Planet $M$ orbits around its sun, $S$, in an elliptical orbit with the sun at one of the foci. When $M$ is closest to $S$, it is $2\,unit$ away. When $M$ is farthest from $S$, it is $18\, unit$ away, then the equation of motion of planet $M$ around its sun $S$, assuming $S$ at the centre of the coordinate plane and the other focus lie on negative $y-$ axis, is
Planet $M$ orbits around its sun, $S$, in an elliptical orbit with the sun at one of the foci. When $M$ is closest to $S$, it is $2\,unit$ away. When $M$ is farthest from $S$, it is $18\, unit$ away, then the equation of motion of planet $M$ around its sun $S$, assuming $S$ at the centre of the coordinate plane and the other focus lie on negative $y-$ axis, is
- A
$\frac{{{x^2}}}{{36}} + \frac{{{{\left( {y - 8} \right)}^2}}}{{100}} = 1$
- B
$\frac{{{x^2}}}{{36}} + \frac{{{{\left( {y + 8} \right)}^2}}}{{100}} = 1$
- C
$\frac{{{x^2}}}{{64}} + \frac{{{{\left( {y - 8} \right)}^2}}}{{100}} = 1$
- D
$\frac{{{x^2}}}{{64}} + \frac{{{{\left( {y + 8} \right)}^2}}}{{100}} = 1$
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