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4-2.Quadratic Equations and Inequations
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If $\alpha , \beta , \gamma$ are roots of equation $x^3 + qx -r = 0$ then the equation, whose roots are
$\left( {\beta \gamma + \frac{1}{\alpha }} \right),\,\left( {\gamma \alpha + \frac{1}{\beta }} \right),\,\left( {\alpha \beta + \frac{1}{\gamma }} \right)$
A
$(r + 1)x^3 -q(r + 1)x^2 -r^3 = 0$
B
$rx^3 -q(r + 1)x^2 -(r + 1)^3 = 0$
C
$x^3 + qx -r = 0$
D
None of these
Solution
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Standard 11
Mathematics
