Mathematics
A line segment joining A and B(a, 5) is divided in the ratio 1 : 3 at P, the point where the line segment AB intersects the y-axis.
(i) Calculate the value of 'a'.
(ii) Calculate the co-ordinates of 'P'.
Section Formula
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Answer
(i) Since, P is the point where the line segment AB intersects the y-axis.
Let P = (0, y).
Since, P divides AB in the ratio 1 : 3.
Hence, a = 3.
(ii) By section formula,
P = (0, y) = .
Hence, co-ordinates of P = .
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