Find the coordinates of the point of trisection
Asked by admin @ in Math viewed by 324 People
Find the coordinates of the points of trisection of the line segment joining (4 -1) and (-2 -3)
Answered by admin @
Let A(4,-1) be the first point and B(-2,-3) be the second point and P and Q be the the internally trisecting point.
Let AB=PQ=QB=k
PB=PQ+QB=2k
and AQ=AP+PQ=2k
>AP:PB=1:2
and AQ:QB=2:1
P divides a b internally in ratio 1:2 while Q divides internally in the ratio 2:1. Does coordinates of p and q are
P{[1×(-2)+2×4]/1+2 , 1×(-3)+2×(-1)]/1+2} = P[2,(-5/3)]
and similarly
Q[0,(-7/3)]
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