Let α, β be the roots of the equation x^2 - px + r = 0 and 2 , 2β be the roots of the equation x^2 - qx + r = 0. Then the value of r is

JEE Advanced 2007 Mathematics question

Let α, β be the roots of the equation and , 2β be the roots of the equation . Then the value of r is

Answer: (D)

From the two equations: α + β = p, αβ = r, and , (consistent). Substituting α = p − β: $ + 2β = q

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Question ID VK-037448