Planes \( P_{1}^{\prime}, P_{2}{ }^{\prime}, P_{3}{ }^{\prime} \) a...

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Planes \( P_{1}^{\prime}, P_{2}{ }^{\prime}, P_{3}{ }^{\prime} \) are drawn parallel to the planes \( P_{1}: x+y+z=3, P_{2}: x-y+z=1 \& \) \( P_{3}: x+y-z=2 \) respectively from the point \( (2,2,3) \). If \( d_{1}, d_{2}, d_{3} \) are distances of \( P_{1}{ }^{\prime}, P_{2}, P_{3}{ }^{\prime} \)
\( \mathrm{P} \)
\( \mathrm{W} \) from \( (1,1,2) \) respectively then \( \left(\mathrm{d}_{1}^{2}+\frac{1}{\mathrm{~d}_{2}^{2}}+\frac{1}{\mathrm{~d}_{3}^{2}}\right) \) is equal to
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