find the coordinates of the point which divides the line segment joining the points A(2,5) and B(-5,-2) in the ratio 3:4 internally.
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Coordinates are (-1,2)
Step-by-step explanation:
Solution : Let the points divides segment be P.
Co-ordinates of P(x,y) = (m1x2 + m2x1 / m1+m2 , m1y2 + m2y1 / m1 + m2).
= [3×(-5) + 4×2 / 3+4 , 3×(-2) + 4×5 / 3+4]
= [-15+8/7 , -6+20/7]
= [-7/7, 14/7]
= (-1,2)
Hope it's helpful.
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