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January 15th, 2011, 02:40 PM   #1
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Finding origin of a circle from two straight line equations?

I need the origin of the circle from the two straight line equations.

Show work please and give me pointers!
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 January 15th, 2011, 03:11 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,921 Thanks: 2203 The lines are mutually perpendicular, intersect at (1/2, 3/2) and the acute angle between each line and the y-axis (or x-axis) is 45°. Hence the lines and circle are symmetrical about the line y = 3/2 and four of the points shown in the diagram are the vertices of a square. You should find it easy to finish from there.

 Tags circle, equations, finding, line, origin, straight

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