Home
Class 9
MATHS
If x+y -z = 4 and x^(2) + y^(2) + z^(2) ...

If `x+y -z = 4 and x^(2) + y^(2) + z^(2) = 30`, then find the value of `xy- yz- zx`

Text Solution

Verified by Experts

The correct Answer is:
`-7`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If x-y +z = 5 and x^(2) +y^(2) +z^(2) = 49, find the value of : zx-xy -yz.

Factorise : 4xy -x^(2) - 4y^(2) + z^(2)

If 3 rational numbers x^(1//x),y^(1//y)andz^(1//z) are equal and x^(yz)+y^(zx)+z^(xy)=729 , then find the value of x^(1//x)

If x = 2, y = 3 and z = -1, find the values of : (xy)/(z)

If x^(3) + y^(3) + z^(3) = 3xyz and x + y + z = 0 , find the value of : ((x+y)^(2))/(xy) + ((y+z)^(2))/(yz) + ((z+x)^(2))/(zx)

If x = 2, y = 3 and z = -1, find the values of : (2x-3y+4z)/(3x-z)

If x^(2) + y^(2) + z^(2) - xy- yz - zx = 0 , prove that : x= y = z

Let x,y and z are positive reals and x ^(2) + xy + y ^(2)=2,y ^(2)+yz+z ^(2) =1 and z ^(2) +zx+x^(2) =3. If the value of xy + zx can be expressed as sqrt((p)/(q)) where p and q are relatively prime positive integral find the value of p-q,

If the real numbers x, y, z are such that x^2 + 4y^2 + 16z^2 = 48 and xy + 4yz + 2zx = 24 . what is the value of x^(2) +y^(2) z^(2) =?

If matrix A=[02 y z x y-zx-yz] satisfies AT = A-1, then find the value of x, y, z.