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Q30Section A (Section A)30 of 60

Closest point on a sphere

Among all the points on the sphere x2+y2+z2=24x^2+y^2+z^2=24, the point (α,β,γ)(\alpha, \beta, \gamma) is closest to the point (1,2,−1)(1, 2, -1). Then, the value of α+β+γ\alpha+\beta+\gamma equals

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