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Mathematics , 14.01.2022 01:53

segment GH with G(-8,8) and H(7,2), if point p divides GH one third of the way from g to h find the coordinates of p

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Answered by an experienced expert Bhaskar Singh Bora

the coordinates of the point P(x, y) which divides the line segment joining the points G(x1, y1) and H(x2, y2), internally, in the ratio m1 : m2 are { (m1x2 + m2x1)/(m1 + m2 ) ,  (m1y2 + m2y1)/(m1 + m2 ) } .This is known as the section formula.G(x1, y1) = (-8,8)and H(x2, y2) = (7,2)M1 = 1M2 = 3P(X,Y) = [1×7+ 3×(-8)/1+3, 1×2+3×8/1+3]= (7-24/4, 2+24/4)= (-17/4, 26/4)P(X,Y) = (-17/4, 13/2)

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