The values of p for which the difference between the roots of the equation x2 + px + 8 = 0 is 2, are
If w ( )is a cube root of unity and (1 + w2)n = (1 + w4)n, then the least positive value of n is
2
3
5
6
The complex numbers sin(x) + i cos(2x) and cos(x) - i sin(2x) are conjugate to each other for
x =
x = 0
No value of x
The locus of the points z which satisfy the condition
a straight line
a circle
a parabola
None of the above
If the complex number z lies on a circle with centre at the origin and radius = , then the 4 complex number - 1 + 8z lies on a circle with radius
4
1
3
2
If x2 + x + 1 = 0, then the value of is
13
12
9
14
B.
12
Given equation is x2 + x + 1 = 0.
On solving equation, we get
x = w and x = w2
Case - I When x = w
Then,
Case - II When x = w2