The points A (-1, -7) and B (24, 23) are on a straight line ACB .
AC:CB = 2:3
Work out the coordinates of C.
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A(-1,-7) --------------C(x,y)--------------B(24,23)
C on divides ratio 2:3
by using section formula
C(x,y) = (M1 X2 + M2 X 1/ M1+M2, M1 Y2 + M2 Y1 /M1 +M2)
= (2×24+3×(-1)/2+3, 2×23+3× (-7)/2+3)
=(48-3/5, 46-21 /5)
=(45/5, 25/5)
=(9, 5)
C(x,y) = (9, 5)
Hence ,the C corrdinate is 9,6 Ans.
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