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+1 vote
16.9k views
in Mathematics by (130k points)
Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x – y = 0.

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1 Answer

+1 vote
by (93.8k points)

The given lines are
2x – y = 0 ………………………… (1)
4x + 7y + 5 = 0 …………………… (2)
A (1, 2) is a point on line (1).
Let B be the point of intersection of lines (1) and (2).

On solving equations (1) and (2), we obtain x=-5/18 and y =-5/9

Coordinates of point B are (-5/18,-5/9)

By using distance formula, the distance between points A and B can be obtained as

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