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JEE Main2011MathematicsThree Dimensional GeometryActual

If the angle between the line x= y-1 2 = z-3 and the plane x+2 y+3 z=4 is ⁻¹ ( 5 14 ) , then equals

Options

  1. A3 2
  2. B2 5
  3. C5 3
  4. D2 3

Correct answer

D. 2 3

Step-by-step solution

= 5 14 = 3 14 = 1+4+3 1+4+ ^2 1+4+9 3 14 = 5+3 5+ ^2 14 = 2 3

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