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Question: Answered & Verified by Expert
If the foot of the perpendicular from $(0,0,0)$ to the plane is $(1,2,2)$, then the equation of the plane is
MathematicsThree Dimensional GeometryAP EAMCETAP EAMCET 2001
Options:
  • A $-x+2 y+8 z-9=0$
  • B $x+2 y+2 z-9=0$
  • C $x+y+z-5=0$
  • D $x+2 y-3 z+1=0$
Solution:
1861 Upvotes Verified Answer
The correct answer is: $x+2 y+2 z-9=0$
Now, we take the equation of plane $x+2 y+2 z-9=0$. Since, it is passing through the point $(1,2,2)$.
$\begin{aligned} & & 1+2(2)+2(2)-9 & =0 \\ \Rightarrow & & 0 & =0\end{aligned}$
Thus, the required equation of the plane is
$x+2 y+2 z-9=0$

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