The locus of mid-points of the line segments joining $(-3,-5)$ and the points on the ellipse $\frac{x^{2}}{4}+\frac{y^{2}}{9}=1$ is :
The locus of mid-points of the line segments joining $(-3,-5)$ and the points on the ellipse $\frac{x^{2}}{4}+\frac{y^{2}}{9}=1$ is :
- [JEE MAIN 2021]
- A
$9 x^{2}+4 y^{2}+18 x+8 y+145=0$
- B
$36 x^{2}+16 y^{2}+90 x+56 y+145=0$
- C
$36 x^{2}+16 y^{2}+108 x+80 y+145=0$
- D
$36 x^{2}+16 y^{2}+72 x+32 y+145=0$
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