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AP EAMCET2009MathematicsThree Dimensional Geometry

If a line in the space makes angle , and with the coordinate axes, then aligned 2 + 2 + 2 + ^2 & + ^2 & + ^2 equals aligned

Options

  1. A-1
  2. B0
  3. C1
  4. D2

Correct answer

C. 1

Step-by-step solution

aligned & 2 + 2 + 2 + ^2 + ^2 & + ^2 & = ( ^2 - ^2 )+ ( ^2 - ^2 ) & + ( ^2 - ^2 )+ ^2 + ^2 + ^2 & = ^2 + ^2 + ^2 & =1 aligned

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