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Manipal MET2016MathematicsThree Dimensional Geometry

The equation of the plane through the points (2,3,1) and (4,-5,3) parallel to X -axis is

Options

  1. Ay+4 z=7
  2. By+4 z=-7
  3. Cy-4 z=7
  4. Dx+4 z=7

Correct answer

A. y+4 z=7

Step-by-step solution

We know that the equation of a plane parallel to X -axis is by +c z+d=0 . Since, it passes through the points (2,3,1) and (4,-5,3) . array lr & 3 b+c+d=0 and & -5 b+3 c+d=0 array array ll & b 1-3 = c -8 = d 14 & b -2 = c -8 = d 14 array Equation of plane is -2 y-8 z+14=0 i.e. y+4 z=7 .

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