Let a,b,c, be any real number. Suppose t...

Let a,b,c, be any real number. Suppose that there are real numbers x,y,z not all zero such that x=cy+bz,y=az+cx and z=bx+ay. Then
`a^(2)+b^(2)+c^(2)` +2abc is equal to

`-1`

Text Solution

Verified by Experts

The correct Answer is:

Similar Questions

Explore conceptually related problems

Given x=cy+bz,y=az+cx and z=bx+ay, then prove a^(2) +b^(2) +c^(2) +2abc =1.

Let a, b, c be any real numbers. Suppose that there are real numbers x, y, z not all zero such that x""=""c y""+""b z ,""y""=""a z""+""c x""a n d""z""=""b x""+""a y . Then a^2+""b^2+""c^2+""2a b c is equal to (1) 2 (2) ""1 (3) 0 (4) 1

If the planes x=cy+bz,y=az+cx and z=bx+ay pass through a line then a^(2)+b^(2)+c^(2)+2abc is equal to

If x@+y^(2)+z^(2)!=0,x=cy+bz,y=az+cx, and z=bx+ay, then a^(2)+b^(2)+c^(2)+2abc=

If x,y and z are eliminated from the equations x=cy+bz, y=az+cx" and z=bx+ay, then a^(2)+b^(2)+c^(2)+2abc=

If x^2+y^2+z^2 ne0, x=cy+bz,y=az+cxandz=bx+ay" then "a^2+b^2+c^2+2abc=

The planes x=cy+bz,y=az+cx,z=bx+ay intersect in a line if (a+b+c)^(2) is equal to

Let a,b,c, be any real number. Suppose that there are real numbers x,y,z not all zero such that x=cy+bz,y=az+cx and z=bx+ay. Then `a^(2)+b^(2)+c^(2)` +2abc is equal to

Text Solution

Similar Questions

Recommended Questions

Let a,b,c, be any real number. Suppose that there are real numbers x,y,z not all zero such that x=cy+bz,y=az+cx and z=bx+ay. Then
`a^(2)+b^(2)+c^(2)` +2abc is equal to