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Question
The distance of the point P(1, – 3) from the line 2y – 3x = 4 is ______.
Options
13
`7/13 sqrt(13)`
`sqrt(13)`
None of these
Solution
The distance of the point P(1, – 3) from the line 2y – 3x = 4 is 13.
Explanation:
The distance of the point P (1, – 3) from the line 2y – 3 x – 4 = 0 is the length of perpendicular from the point to the line which is given by
`|(2(-3) - 3 - 4)/sqrt(13)| = sqrt(13)`
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