If \( \alpha, \beta \) be the roots of the equation \( x^{2}-2 x+3=0 \), then the equation whose...
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If \( \alpha, \beta \) be the roots of the equation \( x^{2}-2 x+3=0 \), then the equation whose roots are \( \frac{1}{\alpha^{2}} \) and \( \frac{1}{\beta^{2}} \) is
(1) \( x^{2}+2 x+1=0 \)
(2) \( 9 x^{2}+2 x+1=0 \)
(3) \( 9 x^{2}-2 x+1=0 \)
(4) \( 9 x^{2}+2 x-1=0 \)
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