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Mathematics 8 Online
OpenStudy (anonymous):

What is the equation of a circle passing through (-4, -4) and tangent to the line 2x-3y+9=0 at (-3, 1)?

OpenStudy (science0229):

Did you learn how to differentiate, yet?

OpenStudy (anonymous):

na'a . im so confused with the question

OpenStudy (science0229):

Ok. Then did you try drawing this problem out?

OpenStudy (anonymous):

yes, just the line

OpenStudy (science0229):

This might get ugly, so stay with me for the whole time.

OpenStudy (anonymous):

okay :)

OpenStudy (science0229):

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OpenStudy (science0229):

Let (a,b) be the center of the circle, and r as the radius.

OpenStudy (science0229):

the equation of the circle is\[(x-a)^2+(y-b)^2=r^2\]

OpenStudy (science0229):

From the center of the circle, all points are equidistant, right?

OpenStudy (science0229):

correction: all points on the circle

OpenStudy (anonymous):

gotcha! Thanks:)

OpenStudy (science0229):

You completely got it?

OpenStudy (anonymous):

yeah! thanks so much !

OpenStudy (science0229):

Aright! Good luck!

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