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COMEDK2024MathematicsThree Dimensional Geometry

The line x-1 2 = y 1 = z+1 1 is parallel to the plane

Options

  1. A2 x+y+z=2
  2. B2 x-y+z=2
  3. Cx-y+2 z=2
  4. Dx-y-z=3

Correct answer

D. x-y-z=3

Step-by-step solution

Direction ratio's of given line (2,1,1) From option (4), direction ratio's of plane (1,-1,-1) 2 1+1(-1)+1(-1) [l₁ l₂+m₁ m₂+n₁ n₂=0 . if line and plane are parallel] 2-1-1=0

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