If p and q are non-ero real numbers and 3 3 a + b = – ab = p q , , then a quadratic equation whose roots are 2 2 , a b b a is :

Question:

If $p$ and $q$ are non-zero real numbers and $\alpha^{3}+\beta^{3}=-p, \alpha \beta=q$, then a quadratic equation whose roots are $\frac{\alpha^{2}}{\beta}, \frac{\beta^{2}}{\alpha}$ is:

  1. $p x^{2}-q x+p^{2}=0$

  2. $q x^{2}+p x+q^{2}=0$

  3. $p x^{2}+q x+p^{2}=0$

  4. $q x^{2}-p x+q^{2}=0$


Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.
JEE Main Previous Year Online April 25, 2013

Solution:

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