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MHT CET202012 Oct 2020Morning ShiftMathematicsThree Dimensional GeometryActual

The equation of a plane containing the point (1,-1,1) and parallel to the plane 2 x+3 y-4 z=17 is

Options

  1. Ar _ (2 +3 -4 k )=-5
  2. Br (2 +3 -4 k )=-15
  3. Cr (4 +3 -4 k )=-3
  4. Dr (3 +4 -2 k )=-3

Correct answer

A. r _ (2 +3 -4 k )=-5

Step-by-step solution

Equation of plane passing through the point having position vector a and normal to n is r n (2 i +3 j -4 k )=( i - j + k ) (2 i +3 j -4 k )=2-3-4=-5

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