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Question

If the roots of the equation ax2+bx+c=0 beα and β,, then the roots of the equation cx2+bx+a=0 are


A

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B

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C

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D

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Solution

The correct option is C


α,β are roots of ax2+bx+c=0

α+β= ba and αβ=ca

Let the roots of cx2+bx+a=0 be α',β', then

α ' + β '=bc and α β=ac

but α+βαβ=baca=bc1α+1β=α+β

Hence α=1α and β=1β


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