Find the values of 'a' for which the expression x2 - (3a - 1)x + 2a2 + 2a - 11 is always positive
The value of (1 - w + w2)5 + (1 + w - w2)5, where w and w2 are the complex cube roots of unity, is
0
32w
- 32
32
Let be the roots of x2 - 2x + 1 = 0, then the equation whose roots are is
= 0
B.
If one root of the equation x2 + (1 - 3i)x - 2(1 + i) = 0 is - 1 + i, then the other root is
- 1 - i
i
2i
For two complex numbers z1, z2 the relation holds, if
arg(z1) = arg(z2)
arg(z1) + arg(z2) =
z1z2 = 1
The region of the complex plane for which = 1, [Re (a) 0] is
x - axis
y - axis
the straight line x = a
None of the above
Let be the roots of x2 + x + 1 = 0, then the equation whose roots are is
x2 - x + 1 = 0
x2 + x - 1 = 0
x2 + x + 1 = 0
x60 + x30 + 1 = 0