Problem 450. What is the distance from point P(x,y) to the line Ax + By + C = 0?

Created by Bruce Raine

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given a point, P(x,y), find the distance from this point to a linear line.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>INPUTS: x, y, A, B, C</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>OUTPUTS: d, the distance which of course should always be positive.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[EX:\n>>x=2; y=2; A=2; B=2; C=-4;\n>>d = normalLen(x,y,A,B,C)\nd = 1.4142]]></w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

530 Solutions
275 Solvers

Last Solution submitted on Sep 15, 2020

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Claudio Gelmi on 23 Jan 2013

There is a mistake with the solution of Test #3. Ans should be 7.40. Please check.

Solution Comments

Solution 196442

1 Comment

1 Comment

Alfonso Nieto-Castanon on 25 Jan 2013

note: this is the wrong formula (x=0;y=12345;A=0;B=1;C=0 should return 12345, not 1...)

Solution 69061

1 Comment

1 Comment

Peter Wittenberg on 2 Sep 2012

Come on, Amitava - you don't need to game the solution.

Problem Recent Solvers275

Problem Tags

distance orthogonal pythagoras

Problem 450. What is the distance from point P(x,y) to the line Ax + By + C = 0?

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers275

Suggested Problems

More from this Author16

Problem Tags

Problem 450. What is the distance from point P(x,y) to the line Ax + By + C = 0?

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers275

Suggested Problems

More from this Author16

Problem Tags

Players