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MHT CET20192 May 2019Morning ShiftMathematicsThree Dimensional GeometryActual

The angle between lines x - 2 2 = y - 3 - 2 = z - 5 1 and x - 2 1 = y - 3 2 = z - 5 2 is ________

Options

  1. A30 o
  2. B60 o
  3. C45 o
  4. D90 o

Correct answer

D. 90 o

Step-by-step solution

Given: Lines are x - 2 2 = y - 3 - 2 = z - 5 2 and x - 2 1 = y - 3 2 = z - 5 2 Direction ratio of lines are 2 , - 2 , 1 and 1 , 2 , 2 Then, angle between lines are cos ⁡ θ = 2.1 + - 2 2 + 1.2 4 + 4 + 1 1 + 4 + 4 = 0 θ = 90 o

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