The locus of mid-points of the line segments joining ($-$3, $-$5) and the points on the ellipse ${{{x^2}} \over 4} + {{{y^2}} \over 9} = 1$ is :

Question

$9{x^2} + 4{y^2} + 18x + 8y + 145 = 0$

$36{x^2} + 16{y^2} + 90x + 56y + 145 = 0$

$36{x^2} + 16{y^2} + 108x + 80y + 145 = 0$

$36{x^2} + 16{y^2} + 72x + 32y + 145 = 0$

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