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Q.

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 ΔPQR is a line 

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a

parallel to y-axis

b

with slope 23

c

parallel to x-axis

d

with slope 32

answer is B.

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Detailed Solution

Ph,2h+43

Q(1,4)R(3,−2)

Centroid G(α,β)=h+43,2h+4+12−69

α=h+43,β=2h+109

β=2(3α−4)+109,9β=6α+2

Locus of (α,β) is y=23x+29, Slope =23

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