A plane passes through a fixed point \( (a, b, c) \). The locus of ...

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A plane passes through a fixed point \( (a, b, c) \). The locus of the foot of the perpendicular to it from the origin is a sphere of radius
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(1) \( \frac{1}{2} \sqrt{a^{2}+b^{2}+c^{2}} \)
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(2) \( \sqrt{a^{2}+b^{2}+c^{2}} \)
(3) \( a^{2}+b^{2}+c^{2} \)
(4) \( \frac{1}{2}\left(a^{2}+b^{2}+c^{2}\right) \)
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