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6. et P and Q be the points of trisection of the line segment joining the points A(2,- 2) and B(-7, 4)such that P is nearer to A. Find the coordinates of P and Q |
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Answer» A-----p---------Q-----------Baccording to question AP=PQ=QBhence P divide AB 1:2ratio now use section formulap (x, y)x=(1 x (-7)+2 x 2)/(2+1)=-3/3=-1y=(1 x4+2 x (-2)) /(2+1)=0p (-1,0)now Q divide line AB 2:1ratiouse again section formulaQ (r, u)r=(2 x (-7)+1 x 2)/(2+1)=-12/3=-4u=(2 x4+1 x (-2))/(2+1)=2Q (-4,2) |
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