Coincident or concentric circles
Coincident or concentric circles
6 marks
TGM Original
The equations x2+y2-4x+6y-12=0 and 2x2+2y2-8x+12y+k=0 represent two real circles. Find the restriction on k and determine their number of common points for every allowed k.
Solution:
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Answer:\(k<26\); infinitely many points if \(k=-24\), otherwise none.
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