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Please I really need help with this one.Find an equation of the circle passing through
(6, 7) and tangent to the line y = 2x + 1 at (5, 11). Write your answer in standard form.
 one year ago
 one year ago
Please I really need help with this one.Find an equation of the circle passing through (6, 7) and tangent to the line y = 2x + 1 at (5, 11). Write your answer in standard form.
 one year ago
 one year ago

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anneflysBest ResponseYou've already chosen the best response.0
So to find the tangent line, you have to derive. You understand this part right?
 one year ago

anneflysBest ResponseYou've already chosen the best response.0
And then to derive...y'=2
 one year ago

anneflysBest ResponseYou've already chosen the best response.0
When you derive, you get the slope...So the slope of your tangent line is 2.
 one year ago

anneflysBest ResponseYou've already chosen the best response.0
So now you put this into point slope form y7=2(x6)
 one year ago

anneflysBest ResponseYou've already chosen the best response.0
And then to put it into standard form you just do some algebra: y=2x12+7>2x5
 one year ago

cinarBest ResponseYou've already chosen the best response.0
x^2+y^2=r^2 sub. x=6 y=7 find r=sqrt85
 one year ago

cinarBest ResponseYou've already chosen the best response.0
you should find coord. of center of circle..
 one year ago

cinarBest ResponseYou've already chosen the best response.0
you can use pointline distance formula to find coordinate of center..
 one year ago

cinarBest ResponseYou've already chosen the best response.0
http://mathworld.wolfram.com/PointLineDistance2Dimensional.html
 one year ago

HibaSyedBest ResponseYou've already chosen the best response.0
So I just plug Xand Y into the equation ax+by+c=0 but how would I find a,b,c
 one year ago

cinarBest ResponseYou've already chosen the best response.0
y = 2x + 1 => 2xy+1=0 a=2, b=1, c=1
 one year ago

HibaSyedBest ResponseYou've already chosen the best response.0
Right, and what would I do after that how, do I convert it in standard from for a circle
 one year ago

cinarBest ResponseYou've already chosen the best response.0
(xx1)^2+(yy1)^2=r^2 where x1 and x2 coordinate of center..
 one year ago

HibaSyedBest ResponseYou've already chosen the best response.0
and x1 and y1 would be 6, and 7
 one year ago

cinarBest ResponseYou've already chosen the best response.0
no, you need to find it..
 one year ago
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