The locus of mid-points of line segments joining (−3,−5)... | Ellipse

JEE Main 2021

31-08-2021 S1

Question

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 :

Select the correct option:

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

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

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

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

✓ Correct! Well done.

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