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MHT CET202415 May 2024Evening ShiftMathematicsStraight LinesActual

The equation of a line passing through the point (2,-1,1) and parallel to the line joining the points i +2 j +2 k and - i +4 j + k is

Options

  1. Ar =(2 i - j + k )+ (-2 i +2 j - k )
  2. Br =(2 i - j + k )+ (2 i +6 j +3 k )
  3. Cr =(2 i - j + k )+ (2 i -2 j - k )
  4. Dr =(2 i - j + k )+ (2 i -6 j -3 k )

Correct answer

A. r =(2 i - j + k )+ (-2 i +2 j - k )

Step-by-step solution

Let b = i +2 j +2 k , c =- i +4 j + k c - b =-2 i +2 j - k The equation of the line passing through 2 i - j + k and parallel to -2 i +2 j - k is r =(2 i - j + k )+ (-2 i +2 j - k )

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