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AP EAMCET20225 Jul 2022Evening ShiftMathematicsStraight LinesActual

If , 2 , 3 are angles made by a ray with OX , OY , OZ axes respectively then all the possible values of are

Options

  1. A6 , 12
  2. B6 , 3
  3. C4 , 3
  4. D6 , 4

Correct answer

D. 6 , 4

Step-by-step solution

If any ray makes , , angles with axes then ^2 + ^2 + ^2=1 ^2 + ^2 2 + ^2 3 =1 at = 4 ^2 4 + ^2 2 + ^2 3 4 = 1 2 +0+ 1 2 =1 = 6 ^2 6 + ^2 3 + ^2 2 = 3 4 + 1 4 =1 possible values of are 6 , 4

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