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Question: Answered & Verified by Expert
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 $a^2+b^2+c^2=$
MathematicsThree Dimensional GeometryTS EAMCETTS EAMCET 2023 (14 May Shift 2)
Options:
  • A 2
  • B 8
  • C 4
  • D 9
Solution:
1166 Upvotes Verified Answer
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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