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MHT CET202016 Oct 2020Evening ShiftMathematicsThree Dimensional GeometryActual

If the line r =( -2 +3 k )+ (2 + +2 k ) is parallel to the plane r .(3 -2 +m k )=10 , then the value of m is

Options

  1. A2
  2. B-3
  3. C-2
  4. D3

Correct answer

C. -2

Step-by-step solution

(B) b =2 i + j +2 k and n =3 i -2 j + m k Since, line is parallel to the plane, b n =0( 2 i + j +2 k ) (3 i -2 j + m k ) =0 6-2+2 ~m =0 m =-2

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