Let the plane \( a x+b y+c z+d=0 \) bisect the line joining P the points \( (4,-3,1) \) and \( (...

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Let the plane \( a x+b y+c z+d=0 \) bisect the line joining
P the points \( (4,-3,1) \) and \( (2,3,-5) \) at the right angles. If

W. \( a, b, c, d \) are integers, then the minimum value of \( \left(a^{2}+b^{2}+c^{2}+d^{2}\right) \) is
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