1.

. Find the coordinates of the points of trisection of the line segment joining the pointsA(2, -2) and B(-7, 4).

Answer»

According 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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