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MHT CET2016MathematicsThree Dimensional Geometry

Direction cosines of the line x + 2 2 = 2 y - 5 3 , z = - 1 are _______

Options

  1. A4 5 , 3 5 , 0
  2. B3 5 , 4 5 , 1 5
  3. C- 3 5 , 4 5 , 0
  4. D4 5 , - 2 5 , 1 5

Correct answer

A. 4 5 , 3 5 , 0

Step-by-step solution

Any line contained in a plane is perpendicular to the normal of the plane ⇒ The direction ratios of given line x + 2 2 = 2 y − 5 3 ⇔ 3 x − 4 y + 16 = 0 , z = − 1 ⇔ z + 1 = 0 i ^ j ^ k ^ 3 4 0 0 0 1 = 4 i ^ - 3 j ^ ⇒ direction cosines are ± ( 4 5 , 3 5 , 0 )

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