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May 19th, 2013, 06:02 AM  #1 
Senior Member Joined: Sep 2011 Posts: 395 Thanks: 0  Circles and Chords
I can't spot where I've gone on this one. Can anyone help me out? Many thanks. Q. Find the equation of the circle with centre in the 1st quadrant, if it touches the yaxis at the point (0, 2) & makes a chord of length 3 units on the xaxis. Attempt: If the circle touches the yaxis at (0, 2) then centre c = (x, 2), Perpendicular distance of c to xaxis = 2, Let ab = 1/2 length of chord on xaxis = 3/2, ac = , Thus, from yaxis, , Equation of circle: Ans. (From text book): 
May 19th, 2013, 06:31 AM  #2 
Senior Member Joined: Sep 2011 Posts: 395 Thanks: 0  Re: Circles and Chords
I see where I went wrong. Radius should have been 5/2. Apologies.

May 19th, 2013, 06:47 AM  #3  
Math Team Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,989 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus  Re: Circles and Chords Quote:
 
May 19th, 2013, 07:49 AM  #4  
Global Moderator Joined: Dec 2006 Posts: 19,161 Thanks: 1638  Quote:
 

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