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A point P moves on the line 2x-3y+4=0. I...

A point P moves on the line 2x-3y+4=0. If Q(1,4) and R (3,-2) are fixed points, then the locus of the centroid of `Delta PQR` is a line

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The correct Answer is:
3
Co ordinates of centroid (h, k)
`h=(t+1+3)/3rArrt=3h-4`
`k=((2t+4)/3+2)/3rArr3k=(2t+4)/3+2`
`rArr3k=(2(3h-4+2))/3+2rArr3k-2=(6h-4)/3rArr9k-6=6h-4rArr9y=6x+2`
Slope=2/3
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