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Official 2019 Paper 1 · Q6

Paper 1Algebra

The circles with equations

(x+4)2+(y+1)2=64and(x+4)^2+(y+1)^2=64\quad\text{and}
(x−8)2+(y−4)2=r2where r>0(x-8)^2+(y-4)^2=r^2\quad\text{where }r>0

have exactly one point in common.

Find the difference between the two possible values of rr.

A44
B1010
C1616
D2626
E5050

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