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Question
Find the ratio in which the line x = O divides the join of ( -4, 7) and (3, 0).
Also, find the coordinates of the point of intersection.
Solution
Let S (0, y) be the point on line x = 0 i.e. y-axis which divides the line segment PQ in the ratio k: 1.
Coordinates of S are,
`0 = (3"k" - 4)/("k + 1") ` Y = `(0 + 7)/("k" + 1)`
⇒ 3k = 4
k = `4/3` ..........(1)
Y = `7/(4/3 + 1)` ....(from (1))
Y = 3
Hence, the required ratio is 4 : 3 and the required point is S(O, 3).
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