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HibaSyed
 2 years 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.
HibaSyed
 2 years 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.

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anneflys
 2 years ago
Best ResponseYou've already chosen the best response.0So to find the tangent line, you have to derive. You understand this part right?

anneflys
 2 years ago
Best ResponseYou've already chosen the best response.0And then to derive...y'=2

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

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

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

cinar
 2 years ago
Best ResponseYou've already chosen the best response.0x^2+y^2=r^2 sub. x=6 y=7 find r=sqrt85

cinar
 2 years ago
Best ResponseYou've already chosen the best response.0you should find coord. of center of circle..

cinar
 2 years ago
Best ResponseYou've already chosen the best response.0you can use pointline distance formula to find coordinate of center..

cinar
 2 years ago
Best ResponseYou've already chosen the best response.0http://mathworld.wolfram.com/PointLineDistance2Dimensional.html

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

cinar
 2 years ago
Best ResponseYou've already chosen the best response.0y = 2x + 1 => 2xy+1=0 a=2, b=1, c=1

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

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

HibaSyed
 2 years ago
Best ResponseYou've already chosen the best response.0and x1 and y1 would be 6, and 7

cinar
 2 years ago
Best ResponseYou've already chosen the best response.0no, you need to find it..
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