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Grade: 12
        Show that if one of the circle x2+y2+2gx+c=0 and x2+y2+2g1x+c=0 lies with in the other then gg1 and c are both positive.
one year ago

Answers : (2)

Anurag
12 Points
							Plz answer it,...,.............................................plz plz plz plz plz plz plz plz plz plz plz plz
						
one year ago
mycroft holmes
272 Points
							
If you are familiar with radical axis theory, then this is easy to do. The y-axis will be the radical axis, and since it is given that two of the circles are such that one is interior, that means the centres are either both on +ve x-axis or both on -ve x-axis. So gg1>0. Similarly, the limiting point is real, which are \left( \sqrt c,0 \right) and -\left( \sqrt c,0 \right) and so c>0.
 
 
one year ago
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