The range of the values of \( r \) for which the point \( \left(-5+\frac{r}{\sqrt{2}},-3+\frac{r...

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The range of the values of \( r \) for which the point \( \left(-5+\frac{r}{\sqrt{2}},-3+\frac{r}{\sqrt{2}}\right) \) is an interior point of the major segment of the circle \( x^{2}+y^{2}=16 \), cut off by the line \( x+y=2 \), is
(a) \( (-\infty, 5 \sqrt{2}) \)
(b) \( (4 \sqrt{2}-\sqrt{14}, 5 \sqrt{2}) \)
(c) \( (4 \sqrt{2}-\sqrt{14}, 4 \sqrt{2}+\sqrt{14}) \)
(d) none of these
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