Find the coordinates of the point R on the line segment joining the points p(-1,3) and q(2,5) such that PR=3/5pq
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PR=3/5 PQ
or PR/PQ=3/5
or PR:PQ=3:5=m1:me
therefore,R(x,y)=(m1×x2+m2×x1/m1+m2,m1×y2+m2×y1/m1+m2)
=[3×2+5×(-2)/3+5,3×5+5×3/3+5]
=[6-10/8,15+15/8)]
=[-4/8,30/8]
=(-1/2,15/4) answer
or PR/PQ=3/5
or PR:PQ=3:5=m1:me
therefore,R(x,y)=(m1×x2+m2×x1/m1+m2,m1×y2+m2×y1/m1+m2)
=[3×2+5×(-2)/3+5,3×5+5×3/3+5]
=[6-10/8,15+15/8)]
=[-4/8,30/8]
=(-1/2,15/4) answer
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46
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