The line segment joining the points p 3 3

Asked by admin @ 17/08/2021 in Math viewed by 336 People

The line segment joining the points P(3,3) and Q(6,-6) is trisected at points A and B such that A is nearer to P .If A lies on the line given by 2x+y+k =0 , find the value of 'k' .

Answered by admin @ 17/08/2021

P(3,3),Q(6,-6)
PA=AB=BO
PA:AO=1:2
The coordinates of A are given to be
(1×6+2×3/1+2,1×(-6)+2×3/1+2)
(6+6/3,-6+6/3)
(12/3,0/3)=(4,0)
2x+y+k=0 passes through A therefore,
2(4)+0+k=0
8+k=0
k=-8

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