For two positive numbers a and b, if a2 + b2 = 24 and ab = 6, then (a3 + b3) is equal to
96
10
102
102
If a, b, c are real numbers and a2 + b2 + c2 = 2(a - b - c) - 3, then the value of a + b + c is
-1
1
3
3
If x + y + z = 6, then the value of (x - 1)3 + (y - 2)3 + (z - 3)3 is
3 (x - 1) (y - 2) (z - 3)
3xyz
(x - 1) (y - 2) (z - 3)
(x - 1) (y - 2) (z - 3)
The value of x for which the expressions 12 - 6x and 4x + 2 become equal is:
0
2
1
4
C.
1
According to the question,
12 - 6x = 4x + 2
6x + 4x = 12 - 2
10x = 10
x = 1