Maths-
General
Easy

Question

The equation of a plane that passes through (1,2,3) and is at maximum distance from (-1,1,1) is

  1. 2x-y+2z=6
  2. 2x-y+z=3
  3. 2x+y+2z=10
  4. none of these

The correct answer is: 2x+y+2z=10

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If the four faces of a tetrahedron are represented by the equations r with minus on top left parenthesis alpha i with minus on top plus beta j with minus on top right parenthesis equals 0 comma r with minus on top left parenthesis beta j with rightwards arrow on top plus gamma k with minus on top right parenthesis equals 0 comma r with minus on top left parenthesis gamma k with minus on top plus alpha i with rightwards arrow on top right parenthesis equals 0 and r with minus on top times left parenthesis alpha i with rightwards arrow on top plus beta j with minus on top plus gamma k with minus on top right parenthesis equals P then volume of the tetrahedron (in cubic units) is

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