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  • The rectangular hyperbola cuts the circle <img alt="\mathrm{x^{2}+y^{2}=1}" src="https://

The rectangular hyperbola \mathrm{x y=1} cuts the circle \mathrm{x^{2}+y^{2}=1} at four points. The sum of abscisae of these points is

Option: 1

1


Option: 2

0


Option: 3

2


Option: 4

 none of these


Answers (1)

best_answer

\mathrm{\quad x^{2}+\frac{1}{x^{2}}=4 \Rightarrow x^{4}-4 x^{2}+1=0}

\Rightarrow \mathrm{x}_{1}+\mathrm{x}_{2}+\mathrm{x}_{3}+\mathrm{x}_{4}=0.

Posted by

manish painkra

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