Multiple Choice QuestionsIf 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
D.
1
x2 + y2 + z2 = 2(x - y - z) - 3
⟹ x2 + y2 + z2 = 2x - 2y - 2z - 3
⟹ (x2 -2x + 1) + (y2 + 2y + 1) + (z2 + 2z + 1) = 0
⟹ (x - 1)2 + (y + 1)2 + (z + 1)2 = 0
⟹ x - 1 = 0, x = 1
⟹ y + 1 = 0, y = -1
⟹ z + 1 = 0, z = -1
Put the value of x = 1, y = -1 and z = -1 in 2x - 3y + 4z
∴ 2 x 1 - 3 x (-1) + 4(-1) = 2 + 3 - 4 = 5 - 4 = 1
then the value of 
is
is
is
is
then the value of 12 * 4 is
then the value of abc is
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