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MHT CET20227 Aug 2022Evening ShiftMathematicsThree Dimensional GeometryActual

The direction cosines of the line which is perpendicular to the lines x-7 2 = y+17 -3 = z-6 1 and x+5 1 = y+3 2 = z-6 -2 are

Options

  1. A3 50 , 4 50 , 5 50
  2. B4 90 , 5 90 , 7 90
  3. C4 29 , 3 29 , 2 29
  4. D1 26 , 3 26 , 4 26

Correct answer

B. 4 90 , 5 90 , 7 90

Step-by-step solution

D.R.'s can be obtained by aligned & a (-3)(-2)-2 1 = b 1 1-2 (-2) = c 2 2-2 (-2) & a 4 = b 5 = c 7 aligned So, direction cosines are 4 4^2+5^2+7^2 , 5 4^2+5^2+7^2 , 4 4^2+5^2+7^2 i.e., 4 90 , 5 90 , 7 90

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