Consider the region R={(x,y)∈R×R:x≥0 and y2≤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 (α,β) be a point where the circle C meets the curve y2=4−x.The radius of the circle C is

Consider the region R={(x,y)∈R×R:x≥0 and y2≤4−x}.Let F be the

1.	Consider the region R={(x,y)∈R×R:x≥0 and y2≤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 (α,β) be a point where the circle C meets the curve y2=4−x.The radius of the circle C is
Answer» Consider the region $R = {(x, y) \in R \times R : x \geq 0 and y^{2} \leq 4 - x} .$ 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 $(α, β)$ be a point where the circle $C$ meets the curve $y^{2} = 4 - x .$ The radius of the circle $C$ is