Let p and q be real numbers | Maths | JEE ADVANCED 2010

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JEE ADVANCE 2010

paper 1

Question

Let p and q be real numbers such that $p \neq 0, p^3 \neq q$ and $p^3 \neq-q$. If $\alpha$ and $\beta$ are nonzero complex numbers satisfying $\alpha+\beta=-p$ and $\alpha^3+\beta^3=q$, then a quadratic equation having $\frac{\alpha}{\beta}$ and $\frac{\beta}{\alpha}$ as its roots is

Select the correct option:

A

$\left(p^3+q\right) x^2-\left(p^3+2 q\right) x+\left(p^3+q\right)=0$

B

$\left(p^3+q\right) x^2-\left(p^3-2 q\right) x+\left(p^3+q\right)=0$

C

$\left(p^3-q\right) x^2-\left(5 p^3-2 q\right) x+\left(p^3-q\right)=0$

D

$\left(p^3-q\right) x^2-\left(5 p^3+2 q\right) x+\left(p^3-q\right)=0$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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