Circles
Review question

Can we show that these two circles touch?
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Ref: R6100
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Question

Show that the circles having equations \(x^2 + y^2 = 25\) and \(x^2 + y^2 - 24x - 18y + 125 = 0\) touch each other. Calculate the coordinates of the point at which they touch.

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UCLES A level Mathematics A 1 and Pure Mathematics 1, QP 9200/1 and 9208/1, 1986, Q7

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 02-Sep-16
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