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Circle question

2021 · Shift 2 · Q27
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  5. /2021 · Shift 2 · Q27

Circle question

2021 · Shift 2 · Q27

JEE AdvancedMathematicsCircleNumerical+2 / −1
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 (α\alphaα, β\betaβ) be a point where the circle C meets the curve y2 = 4 −-− x. The value of α\alphaα is ‾\underline{\hspace{2cm}}​.
Numerical answer
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