If a2 + b2 + 4c2 = 2(a + b - 2c) - 3 and a, b, c are real, then the value of (a2 + b2 + c2) is
2
3
If a + b + c = 0, then the value of
is
9
0
8
-3
A.
9
Since, a + b + c = 0
a + b = - c ...(i)
b + c = -a ...(ii)
c + a = -b ...(iii)
Now,
Put the value of (a + b), (b + c), (c + a) from eq. (i), (ii) & (iii) respectively.
If x ≠ 0, y ≠ 0 and z ≠ 0 and
, then the relation among x, y and z is
x = y = z
x + y + z = 0
x + y = z
If x2 + y2 + z2 = 2(x - y - z) - 3, then the value of 2x - 3y + 4z is (assume that x, y and z) are all real numbers).
3
0
9
1