Question 388498
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You have something written wrong.  If A is the midpoint of QR, then the coordinates of A have to be (-1,7).  But the extended line through P(-3,-6) and A(-1,7) does NOT intersect the circle:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ y^2\ -\ 10x\ -\ 20y\ +\ 105\ =\ 0].


{{{drawing(
500, 500, -11,11,-8,15,
grid(1),
green(circle(5,10,2*sqrt(5)),
line(-3,-6,-4,6),
line(-4,6,2,8),
line(2,8,-3,-6)),
circle(-1,7,0.3),
graph(500, 500, -11,11,-8,15,
(13/2)x + (27/2))
)}}}


On the other hand, it DOES intersect the circle


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ y^2\ +\ 10x\ -\ 20y\ +\ 105\ =\ 0].


(just barely)  Is that what you really meant?  By the way, you are only allowed one question per post.  Repost the other question separately from the correction to this question.


{{{drawing(
500, 500, -11,11,-8,15,
grid(1),
blue(circle(-5,10,2*sqrt(5))),
green(line(-3,-6,-4,6),
line(-4,6,2,8),
line(2,8,-3,-6)),
circle(-1,7,0.3),
graph(500, 500, -11,11,-8,15,
(13/2)x + (27/2))
)}}}





John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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