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(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
 one year ago
 one year 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
 one year ago
 one year ago

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satellite73Best ResponseYou've already chosen the best response.1
if you have part I done, the for the second part you have \[x^2+y^2+2gx+2fy+f^2=0\]
 one year ago

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

satellite73Best ResponseYou've already chosen the best response.1
replace \(x\) by 3, \(y\) by 3 and get an equation in \(f\) and \(g\) repeat with \(x=2\) and \(y=5\)
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
oh i didn't do it, i assumed it would be obvious but maybe not
 one year ago

samnathaBest ResponseYou've already chosen the best response.0
it just comes up math error ?
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
let 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
 one year ago

samnathaBest ResponseYou've already chosen the best response.0
still math error for some reason ?
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
\[4+25+4g10f+f^2=0\] \[4g10f+f^2=29\]
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
subtract the second equation from the first i get \[16f=16\] and so \(f=1\)
 one year ago

samnathaBest ResponseYou've already chosen the best response.0
[Math Processing Error] [Math Processing Error] this is what keeps coming up
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
oh i didn't understand what you mean you mean that is what you see me write refresh your browswer
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
for some reason your browser was not reading the latex correctly a refresh should work
 one year ago
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