A circle for every parameter
A circle for every parameter
6 marks
TGM Original
Show that x2+y2-2px+6y+p+4=0 represents a real circle for every real p. Find the smallest possible radius.
Solution:
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Answer:\(r_{\min}=\dfrac{\sqrt{19}}2\) at \(p=\dfrac12\); always a real circle.
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