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Sum of Infinite Terms of a GP

If α ,β ar...

Question

If $α, β$ are the roots of $3 x^{2} - 4 x + 1 = 0$ the equation whose roots are $\frac{α}{β}, \frac{β}{α}$ is

3 x^{2} + 10 x + 3 = 0

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3 x^{2} + 10 x - 3 = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 x^{2} - 10 x - 3 = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 x^{2} - 10 x + 3 = 0

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Solution

The correct option is B $3 x^{2} - 10 x + 3 = 0$
Since $α a n d β$ are roots of given equation

$∴ α + β = \frac{4}{3}$

and $α β = \frac{1}{3}$

Now find the sum roots and product of roots of requiredquation

$\frac{α}{β} +$ $p$
$=$

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