Hi everyone,
now I know this is easy peasy for you guys - but bear with me!
I'll write out the whole question first.
I completely understand parts a and b, but c has confused me a little. I've tried thinking about it (alot!) but I am just unsure as to what approach I need for c. It's only worth a couple of marks, so it should be fairly easy - but I'm not seeing what I need to do!
Could you point me in the right direction?
Thanks,
Sparky
now I know this is easy peasy for you guys - but bear with me!
I'll write out the whole question first.
Phew!7. A circle with centre C has equation \(x^{2}+y^{2}-4x+12y+15=0\).
a) Find:
i) the coordinates of C;
ii) the radius of the circle.
b) Explain why the circle lies entirely below the x-axis.
c) The point P with coordinates (5,k) lies outside the circle.
i) Show that \(PC^{2}=k^{2}+12k+45.\)
ii) Hence show that \(k^{2}+12k+20>0\)
iii) FInd the possible values of k.
I completely understand parts a and b, but c has confused me a little. I've tried thinking about it (alot!) but I am just unsure as to what approach I need for c. It's only worth a couple of marks, so it should be fairly easy - but I'm not seeing what I need to do!
Could you point me in the right direction?
Thanks,
Sparky
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