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anonymous
 3 years ago
(i) show that if the circle x^2 + y^2 + 2gx + 2fy + c = 0 touches the y axis, then f^2 = c
(ii) using the result from part (i) find the equation of the circle which contains the points (2, 3) and (2, 5) and which touches the y axis.
i have done part (i) and gotten some of part (ii) but i need help finishing it please
anonymous
 3 years ago
(i) show that if the circle x^2 + y^2 + 2gx + 2fy + c = 0 touches the y axis, then f^2 = c (ii) using the result from part (i) find the equation of the circle which contains the points (2, 3) and (2, 5) and which touches the y axis. i have done part (i) and gotten some of part (ii) but i need help finishing it please

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0if you have part I done, the for the second part you have \[x^2+y^2+2gx+2fy+f^2=0\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i have subed the points in and got the 2 equations but now i'm not sure what to do ?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0replace \(x\) by 3, \(y\) by 3 and get an equation in \(f\) and \(g\) repeat with \(x=2\) and \(y=5\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh i didn't do it, i assumed it would be obvious but maybe not

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0it just comes up math error ?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0let me see if i get it \[4+9+4g+6f+f^2=0\] or \[13+4g+6f+f^2=0\]of \[4g+6f+f^2=13\] for the first one

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0still math error for some reason ?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[4+25+4g10f+f^2=0\] \[4g10f+f^2=29\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0subtract the second equation from the first i get \[16f=16\] and so \(f=1\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0[Math Processing Error] [Math Processing Error] this is what keeps coming up

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh i didn't understand what you mean you mean that is what you see me write refresh your browswer

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0for some reason your browser was not reading the latex correctly a refresh should work
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