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(B) The equation of the circle is $x^2 + y^2 = 1$,which has center $C(0, 0)$ and radius $r = 1$.The equation of the line is $x + y - 1 = 0$.The perpen

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$\sqrt{2}$

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(B) The equation of the circle is $x^2 + y^2 = 1$,which has center $C(0, 0)$ and radius $r = 1$.The equation of the line is $x + y - 1 = 0$.The perpendicular distance $d$ from the center $(0, 0)$ to the line $x + y - 1 = 0$ is given by $d = \frac{|0 + 0 - 1|}{\sqrt{1^2 + 1^2}} = \frac{1}{\sqrt{2}}$.The length of the chord is given by the formula $L = 2\sqrt{r^2 - d^2}$.Substituting the values,$L = 2\sqrt{1^2 - (1/\sqrt{2})^2} = 2\sqrt{1 - 1/2} = 2\sqrt{1/2} = 2 	imes \frac{1}{\sqrt{2}} = \sqrt{2}$.

The length of the chord intercepted by the circle $x^2 + y^2 = 1$ on the line $x + y = 1$ is:

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