If the distance of the point \( P(1,-2,1) \) from the plane \( x+2 y-2 z=a \), where \( a0 \), i...

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If the distance of the point \( P(1,-2,1) \) from the plane \( x+2 y-2 z=a \), where \( a0 \), is 5 , then the foot of the perpendicular from \( P \) to the plane is
(a) \( \left(\frac{8}{3}, \frac{4}{3},-\frac{7}{3}\right) \)
(b) \( \left(\frac{4}{3},-\frac{4}{3}, \frac{1}{3}\right) \)
(c) \( \left(\frac{1}{3}, \frac{2}{3}, \frac{10}{3}\right) \)
(d) \( \left(\frac{2}{3},-\frac{1}{3}, \frac{5}{2}\right) \)
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