If and are the roots of the equation

MATHEMATICS · Single correct · ISC · Mathematics · Algebra · Relations and Functions

Problem

If cos⁡α,cos⁡β\cos \alpha, \cos \beta and cos⁡γ\cos \gamma are the roots of the equation 9x3−9x2−x+1=09x^3 - 9x^2 - x + 1 = 0 , α,β,γ∈[0,π]\alpha, \beta, \gamma \in [0, \pi] then the radius of the circle whose centre is (Σα,Σcos⁡α)(\Sigma \alpha, \Sigma \cos \alpha) and passing through (2sin⁡−1(tan⁡π/4),4)(2 \sin^{-1}(\tan \pi/4), 4) is: (a) 2 (b) 3 (c) 4 (d) 5

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