Find the ratio in which the line segment joining A (1,-5) and (-4,5) is divided by the z-axis . Also the coordinates of the point of divisions.
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Let the line segment joining A and B points divides x-axis in the ratio k : 1.
If coordinates of y, P(x, 0) compared,
k×+1×(−5)/k+1= 0
5k – 5 = 0
∴ k = 1
∴ Ratio will be k : 1 = 1 : 1
∴ Point P(x, 0) is the mid-point of line segment AB.
∴ x = 1−4/21−42 = −3/2
∴ Dividing point, P (−32−32, 1)
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