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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Quadratic Equation

Black Advanced Problems in Mathematics · Mathematics · Quadratic Equation

If α, β and γ are the roots of the equation 9x^3 - 9x^2 - x + 1 = 0...

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:

Options

  1. A2
  2. B3
  3. C4
  4. D5.

Correct answer

B. 3

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