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MHT CET202210 Aug 2022Evening ShiftMathematicsThree Dimensional GeometryActual

If P(3,2,6) is a point in space and Q is a point on the line r =( i - j +2 k )+ (-3 i + j +5 k ) , then the value of for which the vector P Q is parallel to the plane x-4 y+3 z=1 , is

Options

  1. A1 4
  2. B- 1 8
  3. C1 8
  4. D- 1 4

Correct answer

A. 1 4

Step-by-step solution

aligned & P 3 i +2 j +6 k and Q (1-3 ) i +( -1) j +(2+5 ) k & P Q =(-2-3 ) i +( -3) j +(5 -4) k aligned P Q is parallel to the plane x-4 y+3 z=1

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