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Question: Answered & Verified by Expert
Image of line x-23=y-11=z-1-4 in the plane x+y+z=7 is
MathematicsThree Dimensional GeometryJEE Main
Options:
  • A x-41=y-31=z-31
  • B x-31=y-41=z-31
  • C x-43=y-31=z-3-4
  • D x-33=y-41=z-3-4
Solution:
1719 Upvotes Verified Answer
The correct answer is: x-43=y-31=z-3-4
The line is perpendicular to normal, hence the line is parallel to plane, so the reflected line has the same direction.
Now, image of 2,1,1 in the plane is α,β,γ say, then
α-21=β-11=γ-11=-24-71+1+1=2
So, the point is 4,3,3 

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