Question Number 56639 by ajfour last updated on 20/Mar/19
Commented by ajfour last updated on 20/Mar/19
$${Outer}\:{circle}\:{has}\:{radius}\:{R}. \\ $$$${If}\:{a}\:{parabola}\:{is}\:{tangent}\:{to} \\ $$$${this}\:{circle}\:{at}\:{its}\:{vertex},\:{and} \\ $$$${maximum}\:{radius}\:{a}\:{is}\:{equal} \\ $$$${to}\:{b},\:{find}\:{a}\:{and}\:{b}\:{in}\:{terms}\:{of}\:{R}. \\ $$