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 December 17th, 2009, 12:56 AM #1 Newbie   Joined: Dec 2009 Posts: 3 Thanks: 0 Find points on a line of equal distance from certain point Hi Gents, We have line L1: 3 X + 4 Y + 12 = 0 I got the X-intercept (M) (-4,0) Y-intercept (A) (0,-3) Distance (d) between A and M (d=4) Then I got line, L2, which is perpendiclar to L1 through M L2: 3 Y = 4 X +16 Anyone can confirm answers? THEN I STUCK ON: - Finding 2 points B & C on L2 whose distance from A = d* sq. root of 2 (d ?2) - Finding a point D that makes ABCD a square Thanks alot December 17th, 2009, 08:23 AM #2 Senior Member   Joined: Dec 2009 From: Las Vegas Posts: 209 Thanks: 0 Re: Find points on a line of equal distance from certain point Hi horees; A) is correct M) is correct d is not correct, the distance between A and M is 5 L2 is correct. The 2 points you want that are 5 sqrt(2) away from (0,-3) and on L2 are (-7,-4) and (-1,4) December 18th, 2009, 10:39 AM #3 Newbie   Joined: Dec 2009 Posts: 3 Thanks: 0 Re: Find points on a line of equal distance from certain point how u got (-7,-4) & (-1,4)??? December 18th, 2009, 01:22 PM #4 Senior Member   Joined: Dec 2009 From: Las Vegas Posts: 209 Thanks: 0 Re: Find points on a line of equal distance from certain point Hi horees; I would be glad to. Here is how I did it. It is a little long and tedious. I will provide the overview and you can ask me for a further explanation if you want it. Here is how I got the distance from A to M. This is how I found the 2 points that are on L2 and that are 5 sqrt(2) away from (0,-3) By squaring both sides the above equation becomes a quadratic with x = - 1 and x = - 7. Substituting for both x's into L2: So the points are (-7,-4) and (-1, 4) Tags distance, equal, find, line, point, points Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post abcdefgh123 Algebra 2 January 4th, 2014 03:08 PM elifast Algebra 6 September 18th, 2012 06:35 PM arnav.akash9 Algebra 1 November 16th, 2009 11:27 PM greg1313 Algebra 2 November 5th, 2008 01:58 PM elifast Applied Math 0 December 31st, 1969 04:00 PM

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