Let α and β be the roots of x² - 3x + p=0 and γ and δ be the roots of x² - 6x + q = 0. If α, β, γ, δ form a geometric progression.Then ratio (2q + p): (2q - p) is:

Complex Numbers and Quadratic Equations: JEE Main 2020 Mathematics question

JEE Main 2020 · 4 Sep, Morning shift · Q5142

JEE Main 20204 Sep, Morning shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

Let

\alpha

and

\beta

be the roots of x² - 3x + p=0 and

\gamma

and

\delta

be the roots of x² - 6x + q = 0. If

\alpha, \beta, \gamma, \delta

form a geometric progression.Then ratio (2q + p) : (2q - p) is:

JEE Main 2020 · 4 Sep, Morning shift · Q5142

JEE Main 20204 Sep, Morning shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

Let

\alpha

and

\beta

be the roots of x² - 3x + p=0 and

\gamma

and

\delta

be the roots of x² - 6x + q = 0. If

\alpha, \beta, \gamma, \delta

form a geometric progression.Then ratio (2q + p) : (2q - p) is: