Dear Uncle Colin,
I’m told that two lines through $(0,12)$ are tangent to the circle with equation $(x-6)^2 + (y-5)^2 = 17$ and I need to find their equations – but I’m getting in a muddle. Can you help?
– Terribly Awkward Numbers, Getting Equations Not Trivial
Hi, TANGENT, and thank you for your message!
This certainly is a non-trivial one, and the numbers are definitely awkward!
The main difficulty for most people here is keeping a clear distinction between variables – such as the $x$ and $y$ that represent points in space – and parameters – such as $m$, which represents the…
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