Home
Class 11
MATHS
If x ,y ,a n dz are real and different a...

If `x ,y ,a n dz` are real and different and `u=x^2+4y^2+9z^2-6y z-3z x-2x y ,t h e nu` is always a. non-negative b. zero c. non-positive d. none of these

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If x, y and z are real and distinct, then x^(2)+9y^(2)+16z^(2)-3xy-12yz-4zx is always

If x,y,z are real and 4x^(2)+9y^(2)+16z^(2)=2xyz{(6)/(x)+(4)/(y)+(3)/(z)}

The least value of the expression x^(2)+4y^(2)+3z^(2)-2x-12y-6z+14 is a.1 b.no least value c.0 d.none of these

If x.y,z are positive real numbers such that x^(2)+y^(2)+z^(2)=27, then x^(3)+y^(3)+z^(3) has

If x,y and z are three real numbers such that x+y+z=4 and x^(2)+y^(2)+z^(2)=6, then show that each of x,y and z lie in the closed interval [(2)/(3),2]

Consider the system of equation x+2y-3z=a , 2x+6y-11z=b , x-2y+7c then