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 January 6th, 2012, 08:43 AM #1 Senior Member   Joined: Jan 2012 Posts: 159 Thanks: 0 Find The Intersections Of A Circle and A Line Find the longest and shortest distances from the point (7,12) to the circle x^2 + y^2 + 2x + 6y - 15 = 0. The circle is (x+1)^2 + (y+3)^3=25 I found the equation of the line through the circle center (-1,-3) and the point (7,12) to be y=(15/ X-1 To solve I just plugged the line into the circle and then used the quadratic formula to get the x coordinates of the intersections but I was curious if there was an easier way. The answers, btw, are 22 and 12. January 6th, 2012, 09:28 AM #2 Senior Member   Joined: Jul 2011 Posts: 405 Thanks: 16 Re: Find The Intersections Of A Circle and A Line From figure Minimum (AB) = AC-BC=AC-5 Maximum (AD) = AC+CD=AC+5 Where AC is Distance between A(7,12) and C(-1,-3) January 6th, 2012, 10:21 AM #3 Senior Member   Joined: Jan 2012 Posts: 159 Thanks: 0 Re: Find The Intersections Of A Circle and A Line Thanks panky! Much easier than the way I did it and so obvious (once it is explained of course ) Tags circle, find, intersections, line 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 Math4dummy Algebra 2 February 6th, 2012 08:10 AM luketapis Algebra 1 November 23rd, 2011 03:19 PM organismal Algebra 1 September 9th, 2009 09:06 PM Lax Trigonometry 5 September 10th, 2008 03:28 PM Oxymoron Trigonometry 1 July 23rd, 2008 01:13 AM

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