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\({x}^{2}+{y}^{2}-8x=0,\frac{{x}^{2}}{9}-\frac{{y}^{2}}{4}=1\) intersect at A, B. A triangle is formed using vertices A,…

Q1

\({x}^{2}+{y}^{2}-8x=0,\frac{{x}^{2}}{9}-\frac{{y}^{2}}{4}=1\) intersect at A, B.
A triangle is formed using vertices A, B, C where C lies on

\(2x-3y+4=0\). find locus of centroid of \(∆\mathrm{ABC}\).

a

\(6\mathrm{x}-9\mathrm{y}-20=0\)

b

\(6\mathrm{x}+9\mathrm{y}-20=0\)

c

\(9\mathrm{x}-6\mathrm{y}-20=0\)

d

\(9\mathrm{x}+6\mathrm{y}-20=0\)

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