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 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
If a2 + 1 = a, then the value of a12 + a6 + 1 is
2
3
-3
1
B.
3
a2 + 1 = a
On Squaring both sides, we get,
On Cubing both sides, we get,
If we put a = 1 in equation (i), it satisfies the equation. i.e. a = 1.
Now, put a = 1. in a12 + a6 + 1 i.e (1)12 + (1)6 + 1 = 3