Circles
Review question

Can we find the equations of two circles that touch another?
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Ref: R5624
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Question

Show by calculation that the point \(P(-9,-3)\) lies inside the circle \[x^2+y^2+4x-8y-80=0.\]

Find the equations of the two circles which pass through \(P\), touch the given circle, and have radii of 5 units.

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UCLES A level Mathematics 2, QP 417/2, 1958, Q2

Question reproduced by kind permission of Cambridge Assessment Group Archives. The question remains Copyright University of Cambridge Local Examinations Syndicate (“UCLES”), All rights reserved.

 Last updated 24-Jan-16
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