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JEE Advanced2013MathematicsThree Dimensional GeometryActual

Two lines L 1 : x = 5 , y 3 - α = z - 2 and L 2 : x = α , y - 1 = z 2 - α are coplanar. Then α can take value(s)

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

A. 1

Step-by-step solution

x - 5 0 = - y α - 3 = z - 2 x - α 0 = y - 1 = z 2 - α 5 - α 0 0 0 3 - α - 2 0 - 1 2 - α = 0 5 - α 3 - α 2 - α - 2 = 0 α - 5 α 2 - 5 α + 6 - 2 = 0 α - 5 α 2 - 5 α + 4 = 0 α = 1 , 4 , 5

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