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The locus of mid-points of the segments ...

The locus of mid-points of the segments joining (-3, -5) and the points on the ellipse `(x^(2))/(4) + (y^(2))/(9) = 1` is :

A

`36x^(2) + 16y^(2) + 90x + 56y + 145 = 0`

B

`36x^(2) + 16y^(2) + 72x + 32y + 145 = 0`

C

`9x^(2) + 4y^(2) + 18x + 8y + 145 = 0`

D

`36x^(2) + 16y^(2) + 108x + 80y + 145 = 0`

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