(iv) In what ratio does the Y-axis divide the line segment
joining the points P( - 4, 5) and Q(3. – 7)?
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Answer:
Let the required ratio be k : 1. Then, the coordinates of the point of division are,
(3k - 4/k + 1 , 7k + 5/k + 1)
But, it is a point on y-axis on which x-coordinate of every point is zero.
Therefore 3k - 4/ k + 1 = 0
3k - 4 = 0
k = 4/3
Thus, the required ratio is k = 4/3 or 4 : 3.
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