[" The system of equations "],[2x^(2)-3y^(2)+z^(2)+6=0],[x^(2)-7y^(2)-2z^(2)-5=0],[" and "5x^(2)-y^(2)+4z^(2)+23=0" has "]

The system of equations x-2y+3z=5, 2x-2y+z=0, -x+2y-3z=6 has

The system of equations x +2y+3z=1, x-y+4z=0, 2x+y+7z=1 has

The equation of the sphere whose centre is (6, -1, 2) and which touches the plane 2x-y+2z-2=0 , is :a) x^(2)+y^(2)+z^(2)-12x+12y-4z-16=0 b) x^(2)+y^(2)+z^(2)-12x+2y-4z=0 c) x^(2)+y^(2)+z^(2)-12x+2y-4z+16=0 d) x^(2)+y^(2)+z^(2)-12x+2y-4z+6=0

Solve the system of homogenous equations x+y-z=0,3x+6y-5z=0, x-2y+z=0

Solve the system of homogenous equations 3x+y-2z=0,x+y+z=0,x-2y+z=0

Solve the system of homogenous equations x+y-z=0,x-2y+z=0,3x+6y-5z=0 .

If (x_(0), y_(0), z_(0)) is any solution of the system of equations 2x-y-z=1, -x-y+2z=1 and x-2y+z=2 , then the value of (x_(0)^(2)-y_(0)^(2)+1)/(z_(0)) (where, z_(0) ne 0 ) is

If (x_(0), y_(0), z_(0)) is any solution of the system of equations 2x-y-z=1, -x-y+2z=1 and x-2y+z=2 , then the value of (x_(0)^(2)-y_(0)^(2)+1)/(z_(0)) (where, z_(0) ne 0 ) is