" ii) "(x+2y+4z)^(2)+17y

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

|[y+z, x, x] , [y, z+x, y] , [z, z, x+y]|= (i) x^2y^2z^2 (ii) 4x^2y^2z^2 (iii) xyz (iv) 4xyz

Three real numbers x, y, z are such that x^(2) + 6y =-17, y^(2) + 4z=1 and z^(2) + 2x=2 . What is the value of x^(2) + y^(2) + z^(2) .

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

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

The coefficient of x^2y^4z^2 in the expansion of (2x - 3y + 4z)^9 is

Find the following products: (i) (x+y+2z)(x^2+y^2+4z^2-x y-2y z-2x z) (ii) (2x-y+3z)(4x^2+y^2+9z^2+2x y+3y z-6x z)

If x/2=y/3=z/7 then (2x-5y+4z)/(2y)=