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Find the coordinate of the point which divides the join of (-1, 7) and (4, -3) in the ratio 2:3 |
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Answer» A=(-1, 7) B=(4, -3) Ratio=2:3 Let the coordinate point P(x, y) P(x, y) =(m1x2+m2x1/m1+m2, m1y2+m2y1/m1+m2) P(x, y) ={2×4+3×(-1) /2+3, 2×(-3) +3×7/2+3} P(x, y) =(8-3/5, -6+21/5) P(x, y) =(5/5,15/5) P(x, y) =(1, 3) Hence, coordinate point are P(1, 3) A=(-1, 7) B=(4, -3) Ratio=2:3Let the coordinate point P(x, y) P(x, y) =(m1x2+m2x1/m1+m2, m1y2+m2y1/m1+m2) P(x, y) ={2×4+3×(-1) /2+3, 2×(-3) +3×7/2+3}P(x, y) =(8-3/5, -6+21/5) P(x, y) =(5/5,15/5) P(x, y) =(1, 3) Hence, coordinate point are P(1, 3) (1,3) is the dividing point |
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