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Mathematics · 2013

JEE Main · 25 April 2013, Shift 1 · Q80

If p and q are non-zero real numbers and α^3+β^3=- p, α β= q, then a quadratic equation whose roots are (α^2)/(β), (β^2)/(α) is:

If p and q are non-zero real numbers and $\displaystyle \alpha^3+\beta^3=-\mathrm{p}, \alpha \beta=\mathrm{q}$, then a quadratic equation whose roots are $\displaystyle \frac{\alpha^2}{\beta}, \frac{\beta^2}{\alpha}$ is :
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.