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AP EAMCET202119 Aug 2021Morning ShiftMathematicsThree Dimensional GeometryActual

Let O be the origin and ' P ' be a point which is at a distance of 3 units from the origin. If the direction ratios of O P → are ( 1 , - 2 , - 2 ) , then the coordinates of ' P ' are

Options

  1. A( 1 , − 2 , − 2 )
  2. B( 3 , − 6 , − 6 )
  3. C1 3 , − 2 3 , − 2 3
  4. D1 9 , − 2 9 , − 2 9

Correct answer

A. ( 1 , − 2 , − 2 )

Step-by-step solution

Given that Direction ratios of O P → are 1 ,   - 2 ,   - 2 Distance between origin and point P is 3   =   r . Direction cosines of O P → are l ,   m ,   n   =   1 3 ,   - 2 3 , - 2 3 Coordinates of point P   =   x ,   y ,   z   =   l r ,   m r ,   n r   =   1 3 × 3 ,   - 2 3 × 3 ,   - 2 3 × 3 =   1 ,   - 2 ,   - 2

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