Please see the attached file for the fully formatted problems.
(Not to scale)
i) Find the completed square form of x2 - 18x
Find the completed square form of y2 - 2y
ii) Use your answer from part i) to express the equation of circle A in the form
(x - a)2 + (y - b)2 = r2
iii) write down the centre and radius of circle A.
i) Explain why the distance between the centres of circles A and B is 10.
ii) Express this distance also in terms of k, and hence find the two possible values of k.
iii) Hence show that the two possible equations of circle B are
(You should work with fractions in this part of the question)
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The solution is attached below in two files. the files ...
Questions are answered about two circles, A and B, touching each other at exactly one point. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.