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Rosie's Papers Set A Paper 1 · Q7

Paper 1Algebra

Two circles, C1C_1 and C2C_2, are defined below:

C1:x2+y2=8,C2:x2+y2−6x+8y=−22.C_1:x^2+y^2=8,\qquad C_2:x^2+y^2-6x+8y=-22.

Find the shortest distance between them.

A00
B5−115-\sqrt{11}
C5−22+35-2\sqrt2+\sqrt3
D5−22−35-2\sqrt2-\sqrt3
E5+23−25+2\sqrt3-\sqrt2
F5−55-\sqrt5
G33

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