Equation of a Line, Sphere, and a Plane in Different Forms
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NEET DIGITAL LIBRARY
Three Dimensional Geometry

121266 The equation of the plane bisecting the acute angle between the planes \(2 x-y+2 z+3=0\) and \(3 x-2 y+6 z+8=0\)

1 \(23 x-13 y+32 z+45=0\)
2 \(5 \mathrm{x}-\mathrm{y}-4 \mathrm{z}=3\)
3 \(5 \mathrm{x}-\mathrm{y}-4 \mathrm{z}+45=0\)
4 \(23 x-13 y+32 z+3=0\)
AMU-2019
Three Dimensional Geometry

121267 The equation of the plane passing through the intersection of the planes \(2 x-3 y+z-4=0\) and \(x-y+z+1=0\) and perpendicular to the plane \(x+2 y-3 z+6=0\) is

1 \(x-5 y+3 z-23=0\)
2 \(x-5 y-3 z-23=0\)
3 \(x+5 y-3 z+23=0\)
4 \(x-5 y+3 z+23=0\)
CG PET- 2011
Three Dimensional Geometry

121269 Equation of a plane passing through \((-1,1,1)\) and \((1,-1,1)\) and perpendicular to \(x+2 y+2 z\) \(=5\) is

1 \(2 x+3 y-3 z+3=0\)
2 \(x+y+3 z-5=0\)
3 \(2 x+2 y-3 z+3=0\)
4 \(x+y+z-3=0\)
CG PET- 2014
Three Dimensional Geometry

121270 The equation of the plane that contains the point \((1,-1,2)\) and is perpendicular to each of the planes \(2 x+3 y-2 z=5\) and \(x+2 y-3 z=8\) is

1 \(5 x+4 y-z=7\)
2 \(5 x-4 y+z=7\)
3 \(-5 x+4 y-z=7\)
4 \(5 x-4 y-z=7\)
AMU-2011
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Three Dimensional Geometry

121266 The equation of the plane bisecting the acute angle between the planes \(2 x-y+2 z+3=0\) and \(3 x-2 y+6 z+8=0\)

1 \(23 x-13 y+32 z+45=0\)
2 \(5 \mathrm{x}-\mathrm{y}-4 \mathrm{z}=3\)
3 \(5 \mathrm{x}-\mathrm{y}-4 \mathrm{z}+45=0\)
4 \(23 x-13 y+32 z+3=0\)
AMU-2019
Three Dimensional Geometry

121267 The equation of the plane passing through the intersection of the planes \(2 x-3 y+z-4=0\) and \(x-y+z+1=0\) and perpendicular to the plane \(x+2 y-3 z+6=0\) is

1 \(x-5 y+3 z-23=0\)
2 \(x-5 y-3 z-23=0\)
3 \(x+5 y-3 z+23=0\)
4 \(x-5 y+3 z+23=0\)
CG PET- 2011
Three Dimensional Geometry

121269 Equation of a plane passing through \((-1,1,1)\) and \((1,-1,1)\) and perpendicular to \(x+2 y+2 z\) \(=5\) is

1 \(2 x+3 y-3 z+3=0\)
2 \(x+y+3 z-5=0\)
3 \(2 x+2 y-3 z+3=0\)
4 \(x+y+z-3=0\)
CG PET- 2014
Three Dimensional Geometry

121270 The equation of the plane that contains the point \((1,-1,2)\) and is perpendicular to each of the planes \(2 x+3 y-2 z=5\) and \(x+2 y-3 z=8\) is

1 \(5 x+4 y-z=7\)
2 \(5 x-4 y+z=7\)
3 \(-5 x+4 y-z=7\)
4 \(5 x-4 y-z=7\)
AMU-2011
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Three Dimensional Geometry

121266 The equation of the plane bisecting the acute angle between the planes \(2 x-y+2 z+3=0\) and \(3 x-2 y+6 z+8=0\)

1 \(23 x-13 y+32 z+45=0\)
2 \(5 \mathrm{x}-\mathrm{y}-4 \mathrm{z}=3\)
3 \(5 \mathrm{x}-\mathrm{y}-4 \mathrm{z}+45=0\)
4 \(23 x-13 y+32 z+3=0\)
AMU-2019
Three Dimensional Geometry

121267 The equation of the plane passing through the intersection of the planes \(2 x-3 y+z-4=0\) and \(x-y+z+1=0\) and perpendicular to the plane \(x+2 y-3 z+6=0\) is

1 \(x-5 y+3 z-23=0\)
2 \(x-5 y-3 z-23=0\)
3 \(x+5 y-3 z+23=0\)
4 \(x-5 y+3 z+23=0\)
CG PET- 2011
Three Dimensional Geometry

121269 Equation of a plane passing through \((-1,1,1)\) and \((1,-1,1)\) and perpendicular to \(x+2 y+2 z\) \(=5\) is

1 \(2 x+3 y-3 z+3=0\)
2 \(x+y+3 z-5=0\)
3 \(2 x+2 y-3 z+3=0\)
4 \(x+y+z-3=0\)
CG PET- 2014
Three Dimensional Geometry

121270 The equation of the plane that contains the point \((1,-1,2)\) and is perpendicular to each of the planes \(2 x+3 y-2 z=5\) and \(x+2 y-3 z=8\) is

1 \(5 x+4 y-z=7\)
2 \(5 x-4 y+z=7\)
3 \(-5 x+4 y-z=7\)
4 \(5 x-4 y-z=7\)
AMU-2011
NEET DIGITAL LIBRARY
Three Dimensional Geometry

121266 The equation of the plane bisecting the acute angle between the planes \(2 x-y+2 z+3=0\) and \(3 x-2 y+6 z+8=0\)

1 \(23 x-13 y+32 z+45=0\)
2 \(5 \mathrm{x}-\mathrm{y}-4 \mathrm{z}=3\)
3 \(5 \mathrm{x}-\mathrm{y}-4 \mathrm{z}+45=0\)
4 \(23 x-13 y+32 z+3=0\)
AMU-2019
Three Dimensional Geometry

121267 The equation of the plane passing through the intersection of the planes \(2 x-3 y+z-4=0\) and \(x-y+z+1=0\) and perpendicular to the plane \(x+2 y-3 z+6=0\) is

1 \(x-5 y+3 z-23=0\)
2 \(x-5 y-3 z-23=0\)
3 \(x+5 y-3 z+23=0\)
4 \(x-5 y+3 z+23=0\)
CG PET- 2011
Three Dimensional Geometry

121269 Equation of a plane passing through \((-1,1,1)\) and \((1,-1,1)\) and perpendicular to \(x+2 y+2 z\) \(=5\) is

1 \(2 x+3 y-3 z+3=0\)
2 \(x+y+3 z-5=0\)
3 \(2 x+2 y-3 z+3=0\)
4 \(x+y+z-3=0\)
CG PET- 2014
Three Dimensional Geometry

121270 The equation of the plane that contains the point \((1,-1,2)\) and is perpendicular to each of the planes \(2 x+3 y-2 z=5\) and \(x+2 y-3 z=8\) is

1 \(5 x+4 y-z=7\)
2 \(5 x-4 y+z=7\)
3 \(-5 x+4 y-z=7\)
4 \(5 x-4 y-z=7\)
AMU-2011
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