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The locus of mid. points of the line segments joining \((-3,-5)\) and the points on the ellipse \(\frac{{x}^{2}}{4}+\fra…

Q1

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:

a

\(36{x}^{2}+16{y}^{2}+108x+80y+145=0\)

b

\(36{x}^{2}+16{y}^{2}+90x+56y+145=0\)

c

\(9{x}^{2}+4{y}^{2}+18x+8y+145=0\)

d

\(36{x}^{2}+16{y}^{2}+72x+32y+145=0\)

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