If α and β are the roots of x^2 + px + q = 0 and α^4, β^4 are the roots of x^2 - rx + s = 0, then the equation x^2 - 4qx + 2q^2 - r = 0 has always

one positive and one negative root

If α and β are the roots of x^2 + px + q = 0 and α^4, β^4… — JEE Main 1989 Mathematics PYQ

1989

\alpha

and

\beta

are the roots of

x^2 + px + q = 0

and

\alpha^4

\beta^4

are the roots of

x^2 - rx + s = 0

, then the equation

x^2 - 4qx + 2q^2 - r = 0

has always

Show answer

Correct option: A

[1989]

Practise Complex Numbers and Quadratic Equations the way it is asked

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