Find the equation and length of common chord of the circle

and

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- May 3rd 2009, 10:31 PMzorroFind the equation and comman chord of a circle
Find the equation and length of common chord of the circle

and - May 5th 2009, 10:37 AMVonNemo19
First, solve for y in each of the equations. Start by moving all x terms and constants to the right side

complete the square

divide by the coefficient of the quadratic term

taking the root and adding

Do the same with the other equation and solve the system. - May 5th 2009, 12:45 PMOpalg
Something wrong here. Those two circles don't intersect at all, so how can they have a common chord? (The centres of the circles are at (2,–4) and . The distance between these points is about 6.86. This is a lot more than the sum of the two radii, which are and , both of them less than 2.)

**Edit.**Oops! First radius is , not . Thanks to skeeter for spotting that. - May 5th 2009, 03:18 PMskeeter
uhh ... the two circles do intersect.

- May 5th 2009, 03:26 PMskeeter
- December 27th 2009, 11:51 PMzorro
what about the length of the chord ????

- December 28th 2009, 03:24 AMHallsofIvy