A circle, with centre A and radius 3 cm, has two non-parallel tangents that touch the circle at points B and C. The tangets intersect at D(5,8).

i) Given that the area of the kite ABDC is 12 cm^2, calculate the length AD.

ii)Hence, or otherwise, find an equation for the locus of possible coordinates of A.

For part i) I found the length AD = 5 cm.

Could anybody please help with part ii)?

Is the answer: \(25=(x-5)^2+(y-8)^2\) ? As not sure what the question exactly wants.

Guest Oct 2, 2021