Question

iii. Find the co-ordinates of the points
which divide the line segment joining
the points (-2,2) and (6,-6) into four
equal parts.​

Answer 1

Answer:

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Asked on December 26, 2019 byPavithra Dhamodharan

Find the coordinates of the points which divide the line segment joining A(2,−3) and B(−4,−6)into three equal parts.

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ANSWER

Let P & Q be the points of trisection. Then AP:PB=1:2 & AQ:QB=2:1

(i) Let P divides AB in ratio 1:2

Hence m1=1;m2=2;x1=2;y1=−3;x2=−4,y2=−6

P(x,y)=P(m1+m2m1x2+m2x1,m1+m2m1y2+m2y1)=P(1+21(−4)+2(2),1+21(−6)+2(−3))

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