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Question: Answered & Verified by Expert
What is the distance of the origin from the plane $2 x+6 y-3 z+7=0 ?
MathematicsThree Dimensional GeometryNDANDA 2010 (Phase 2)
Options:
  • A 1
  • B 2
  • C 3
  • D 6
Solution:
2161 Upvotes Verified Answer
The correct answer is: 1
Required distance $=\frac{|2(0)+6(0)-3(0)+7|}{\sqrt{(2)^{2}+(6)^{2}+(-3)^{2}}}$
$=\frac{|7|}{\sqrt{4+36+9}}=\left|\frac{7}{7}\right|=1$

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