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MHT CET2016MathematicsThree Dimensional Geometry

Direction ratios of the line which is perpendicular to the lines with direction ratios - 1 , 2 , 2 and 0 , 2 , 1 are

Options

  1. A1 , 1 , 2
  2. B2 , - 1 , 2
  3. C- 2 , 1 , 2
  4. D2 , 1 , - 2

Correct answer

B. 2 , - 1 , 2

Step-by-step solution

Let the direction ratios of the line are a, b, c then using condition for perpendicular lines, − a + 2 b + 2 c = 0 … (i) 0 + 2 b + c = 0 … (ii) Solving (i) & (ii), we get a − 2 = b 1 = c − 2

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