JEE (Advanced) 2021 Paper-2

Instructions

Consider the region $$R = \left\{(๐‘ฅ, ๐‘ฆ) \epsilon R \times R โˆถ x \geq 0ย  andย ย y^{2} \leq 4 โˆ’ x \right\}$$. Let F be the family of all circles that are contained in ๐‘… and have centers on the x-axis. Let C be the circle that has largest radius among the circles in F. Let ($$\alpha, \beta$$) be a point whereย the circle C meets the curve $$y^{2} = 4 โˆ’ x$$.

Question 7

The radius of the circle C is ___ .


Correct Answer: 1.49 - 1.51


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