And I will try to answer it with my knowledge and guesses as well
And I won't google it as well xD
Edit: me violating the moneky guy got deleted, sad day
Consider the region 𝑅 = {(𝑥, 𝑦) ∈ ℝ × ℝ ∶ 𝑥 ≥ 0 and 𝑦
2 ≤ 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.
then,The radius of the circle 𝐶 is ___ .
Ans my question......