Question: Consider the region R = {(x, y) = R x R : x 0 and y 4-x}. Let F be the family of all

Consider the region R = {(x, y) = R x R :

Consider the region R = {(x, y) = R x R : x 0 and y 4-x}. Let F be the family of all circles that are contained in R and have centers on the x-axis. Let C be the circle that has largest radius among the circles in F. Let (a, B) be a point where the circle C meets the curve y =4-x. The radius of the circle C is The value of a is

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