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MHT CET202012 Oct 2020Morning ShiftMathematicsThree Dimensional GeometryActual

The angle between the line x-1 2 = y+3 1 = z+7 2 and the plane r (6 -2 -3 k )=5 is

Options

  1. A⁻¹ ( 4 21 )
  2. B⁻¹ ( 4 21 )
  3. C⁻¹ ( 5 7 )
  4. D⁻¹ ( 5 7 )

Correct answer

A. ⁻¹ ( 4 21 )

Step-by-step solution

Angle between line and plane is given by = a a₁+b b₁+c c₁ a²+b²+c² a₁²+b₁²+c₁² Here a=2, b=1, c=2 and a₁=6, b₁=-2, c₁=-3 = 12-2-6 3 7 = 4 21 = ⁻¹ ( 4 21 )

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