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If the foot of the perpendicular drawn from the point $(1,0,-2)$ to the plane $\pi$ is $(2,0,-1)$ and the equation of the plane $\pi$ is $a x+b y+c z=2$ then $a^2+b^2+c^2=$
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The correct answer is:
8

$\begin{aligned} & \therefore \quad a=2, b=0, c=2 \\ & \therefore \quad a^2+b^2+c^2=4+0+4=8 .\end{aligned}$
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