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Maths a level- can anyone help

(a) Given that a circle has lines 𝑦= 7 and 𝑥 = 8 as tangents, find the equations of the lines on which the
centre of the circle could lie. (2)
(b) Given that the centre of the circle in part (a) is 5 units from the origin, find the equations of two
possible circles.

Reply 1

madzzzzina

What are your thoughts so far?

Reply 2

mqb2766

Original post by Bingtron

.... You can fund the circle equation using the values from the bottom left

Best not to post solutions as per the guidelines, could you pls delete it. Note that for the first part the question asks for (two) lines. For the second part, a well known pythagorean triple could be used directly and the question asks for the equations of the circles.