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MHT CET202211 Aug 2022Morning ShiftMathematicsThree Dimensional GeometryActual

The shortest distance between the lines x-3 3 = y-8 -1 = z-3 1 and x+3 -3 = y+7 2 = z-6 4 is

Options

  1. A2 30 units
  2. B30 units
  3. C4 30 units
  4. D3 30 units

Correct answer

D. 3 30 units

Step-by-step solution

aligned & Shortest distance = | | array ccc 3-(-3) & 8-(-7) & 3-6 3 & -1 & 1 -3 & 2 & 4 array | (-4-2)^2+(12+3)^2+(6-3)^2 | & = |6 (-6)-15 (15)-3 (3)| 36+225+9 & = 270 270 = 270 =3 30 aligned

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