If the distance of point... |JEE Advanced 2010 | Mathematics

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If the distance of the point $\mathrm{P}(1,-2,1)$ from the plane $\mathrm{x}+2 \mathrm{y}-2 \mathrm{z}=\alpha$, where $\alpha>0$, is 5 , then the foot of the perpendicular from P to the plane is

Select the correct option:

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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