Home
Class 14
MATHS
If x, y, z are real numbers such that x+...

If x, y, z are real numbers such that `x+y+z=4` and `x^(2)+y^(2)+z^(2)=6,` then `x,y,z` lie in :

A

Non-positive

B

non-negative

C

negative

D

zero

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If x,y,z are three real numbers such that x+ y +z =4 and x^(2) + y^(2) +z^(2) =6 ,then (1) 2/3 le x,y,z le 2 (2) 0 le x,y,z le 2 (3) 1 le x,y,z le 3 (4) 2 le x,y,z le 3

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]

If x, y, z are positive real numbers such that x+y+z=a, then

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 a,y and z are real numbers such that x^(2)+y^(2)+2z^(2)=4x-2z+2yz-5, then the possible value of (x-y-z) is :

Let A=[(x,y,z),(y,z,x),(z,x,y)] , where x, y and z are real numbers such that x + y + z > 0 and xyz = 2 . If A^(2) = I_(3) , then the value of x^(3)+y^(3)+z^(3) is__________.