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As level maths edexcel circle question

Stuck with the 2nd part:

C has equation x^2+y^2-8x+12y+16=0
i)Find coordinates of centre C and radius of C

Line y=kx, where k is a constant, does not intersect C.
ii)Find the range of possible values of k
Original post by MedApplicantttt
Stuck with the 2nd part:

C has equation x^2+y^2-8x+12y+16=0
i)Find coordinates of centre C and radius of C

Line y=kx, where k is a constant, does not intersect C.
ii)Find the range of possible values of k


Try and solve for one or more intersection points (you have two simultaneous equations), then what values of k does it break down?

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