x,y,z be a point on plane passing through (42,0,0),(0,42,0),(0,0,42) then value of `(x-11)/((y-19)^2* (z-12)^2 )+(y-19)/((x-11)^2* (z-12)^2) +(z-12)/((x-11)^2* (y-19)^2)+3 -(x+y+z)/(14(x-11)* (z-12)*(y-19) )`

Let (x,y,z) be an arbitrary point lying on a plane P which passes through the points (42,0,0), (0,42,0) and (0,0,42), then the value of the expression 3+(x-11)/((y-19)^(2)(z-12)^(2))+(y-19)/((x-11)^(2)(z-12)^(2))+(z-12)/((x-11)^(2)(y-19)^(2))-(x+y+z)/(14(x-11)(y-19)(z-12)) is equal to :

If (x+ y-z -1)^(2) + (z+ x-y - 2)^(2) + (z+y-x-4)^(2)=0 find x+ y+z =?

If x>0,y>0,z>0 and x+y+z=1 then the minimum value of (x)/(2-x)+(y)/(2-y)+(z)/(2-z) is

Equation of a line passing through (-1,2,-3) and perpendicular to the plane 2x+3y+z+5=0 is

Equation of plane passing through the points (1,0,1),(1,-1,1) and parallel to the vector hat i+hat j-2k is (A)2x+y+z=3(B)2x+z=3(C)2x-z=3(D)2x-y+z=0

The distance of the point (1,-2,4) from the plane passing through the point (1,2,2) perpendicular to the planes x-y+2z=3 and 2x-2y+z+12=0 is

Let A=[(0, 2y,z),(x,y,-z),(x,-y,z)] such that A^(T)A=I , then the value of x^(2)+y^(2)+z^(2) is