" (vi) "z^(2)+19z-150

Factorise: z ^(2) +19z-150

If x^(2) + 3y^(2) + 4z^(2)+ 19 = 4 sqrt(3) ( x + y + z) , then the value of ( x - y + 4z) is:

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) )

The radius of the circle in which the sphere x^(2)=y^(2)+z^(2)+2z-2y-4z-19=0 is cut by the plane x+2y+2z+7=0 is

If z_1,z_2,z_3,z_4 are imaginary 5th roots of unity, then the value of sum_(r=1)^(16)(z1r+z2r+z3r+z4r),i s 0 (b) -1 (c) 20 (d) 19

If z_1,z_2,z_3,z_4 are imaginary 5th roots of unity, then the value of sum_(r=1)^(16)(z1r+z2r+z3r+z4r),i s 0 (b) -1 (c) 20 (d) 19