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MHT CET202124 Sep 2021Morning ShiftMathematicsThree Dimensional GeometryActual

The Cartesian equation of a plane which passes through the points A (2,2,2) and making equal nonzero intercepts on the co-ordinate axes is

Options

  1. Ax+y+z=6
  2. Bx-2 y+z=0
  3. C2 x+y+z=7
  4. Dx-y+z=6

Correct answer

A. x+y+z=6

Step-by-step solution

Let a, b, c be the intercepts on the coordinate axes and we have a=b=c . x a + y a + z a =1 is required equation of plane. Since plane passes through point (2,2,2) , we write 2+2+2 a =1 a =6 Equation of plane is x + y + z =6

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