Mathematics
(i) Write down the co-ordinates of the point P that divides the line joining A(-4, 1) and B(17, 10) in the ratio 1 : 2.
(ii) Calculate the distance OP, where O is the origin.
(iii) In what ratio does the y-axis divide the line AB ?
Section Formula
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Answer
(i) Let the co-ordinates of P be (x, y)
and,
P = (x, y) = (3, 4).
Hence, co-ordinates of point P = (3, 4).
(ii) Distance between two points =
Hence, OP = 5 units.
(iii) Let point Q (0, z) on y-axis divide line AB in ratio m1 : m2.
By section formula,
Substituting values we get,
m1 : m2 = 4 : 17.
Hence, ratio in which the y-axis divide the line AB = 4 : 17.
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