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MHT CET20226 Aug 2022Morning ShiftMathematicsThree Dimensional GeometryActual

A line makes angles 2 , 2 , Y 2 with positive directions of the co-ordinate axes ( x , y , z axes respectively), then + + has the value

Options

  1. A1
  2. B2
  3. C3
  4. D-1

Correct answer

D. -1

Step-by-step solution

aligned & + + =2 ^2 2 -1+2 ^2 2 -1+2 ^2 2 -1 & =2 ( ^2 2 + ^2 2 + ^2 2 )-3 & =2 1-3 [ ^2 2 + ^2 2 + ^2 2 =1 ] & =-1 aligned

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