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Jee Advanced

Circle

JEE Advanced 2021 Paper 2 Online

INTEGER+2 / -02021
Consider the region R = {(x, y) \(\in\) R \(\times\) R : x \(\ge\) 0 and y2 \(\le\) 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 (\(\alpha\), \(\beta\)) be a point where the circle C meets the curve y2 = 4 \(-\) x.

The radius of the circle C is ___________.

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