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Coordinate Geometry
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09/06/2021 2:21 pm
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Find the coordinates of the points of trisection of the line segment joining (4, -1) and (-2, -3).
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09/06/2021 2:23 pm
Let P (x1, y1) and Q (x2, y2) are the points of trisection of the line segment joining the given points i.e., AP = PQ = QB
Therefore, point P divides AB internally in the ratio 1:2.
x1 = (1×(-2) + 2×4)/3
= (-2 + 8)/3 = 6/3 = 2
y1 = (1×(-3) + 2×(-1))/(1 + 2)
= (-3 – 2)/3 = -5/3
P (x1, y1) = P(2, -5/3)
Point Q divides AB internally in the ratio 2:1.
x2 = (2×(-2) + 1×4)/(2 + 1)
= (-4 + 4)/3 = 0
y2 = (2×(-3) + 1×(-1))/(2 + 1)
= (-6 – 1)/3 = -7/3
The coordinates of the point Q is (0, -7/3)
This post was modified 4 years ago by Raavi Tiwari