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NDA2018MathematicsThree Dimensional GeometryActual

Consider the following statements: 1. The angle between the planes 2 x-y+z=1 and x+y+2 z=3 is 3 2. The distance between the planes 6 x-3 y+6 z+2=0 and 2 x-y+2 z+4=0 is 10 9 Which of the above statements is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth and 2
  4. DNeither 1 nor 2

Correct answer

C. Both and 2

Step-by-step solution

Angle between planes aligned & = ⁻¹ ( 2-1+2 6 ) & = ⁻¹ ( 1 2 )= 3 aligned Distance between planes = | 2 3 -4 | 9 = 10 3 3 = 10 9

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