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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asked Feb 9, 2018 in Mathematics by Rohit Singh (61,782 points) 35 133 357
Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x – y = 0.

1 Answer

+1 vote
answered Feb 9, 2018 by sameer (82,980 points) 5 11 37
selected Feb 14, 2018 by sanjeev
 
Best answer

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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