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Q.

The $α and β$ and are the zeros of the polynomial $x^{2} - 2 x + 1$ , then product of zeroes of a polynomial having zeroes $\frac{1}{α} and \frac{1}{β}$ is

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a

1

b

$α β$

c

0

d

$\frac{1}{α β}$

answer is C, D.

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Detailed Solution

$∴ α^{2} - 2 α + 1 = 0$

$α = 1$

$β^{2} - 2 β + 1 = 0$

$β = 1$

$\frac{1}{α} \times \frac{1}{β} = \frac{1}{1} = 1$

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