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Question Number 79794 by mr W last updated on 28/Jan/20

Commented by mr W last updated on 28/Jan/20

$F i n d t h e r a d i i o f t w o c i r c l e s (i f e x i s t)$ $w h i c h t o u c h e a c h o t h e r a n d t o u c h t h e$ $p a r a b o l a a n d t h e y - a x i s r e s p e c t i v e l y .$
Commented by key of knowledge last updated on 28/Jan/20
$C{O(x=(a/(1+(√((4a^2 )/(1+4a^2 ))))) , y=(((a−x)/(2a)))+a^2 ) ; r=x } circle C for ∀a touch y=x^2 and if circle C_1 and C_2 touch each other⇒2(√(r_2 r_1 ))=y_(o2) −y_(o1)$
$C {O (x = \frac{a}{1 + \sqrt{\frac{{4 a}^{2}}{1 + {4 a}^{2}}}}, y = (\frac{a - x}{2 a}) + a^{2}); r = x}$ $circle C for \forall a touch y = x^{2}$ $and if circle C_{1} and C_{2} touch each other \Rightarrow 2 \sqrt{r_{2} r_{1}} = y_{o 2} - y_{o 1}$
	Answered by ajfour last updated on 28/Jan/20

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