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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1
If α,β\alpha, \beta are the roots of the quadratic equation ax2+bx+c=0a x^2+b x+c=0, then the quadratic equation whose roots are α3,β3\alpha^3, \beta^3 is
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Correct option: A
a3y2+(b3−3abc)y+c3=0a^3 y^2+\left(b^3-3 a b c\right) y+c^3=0
Option A (a3y2+(b3−3abc)y+c3=0a^3 y^2+\left(b^3-3 a b c\right) y+c^3=0) is correct because it is the transformed quadratic equation with roots α3\alpha^3 and β3\beta^3.

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