The principal value of argument of 1 + i is
π/2
π/3
π/4
None of these
If xr = cos (π/2r) + i sin (π/2r), then x1.x2....∞
-3
-2
-1
0
If n is any integer, then in is
i
1,-1
i,-i
1,-1,i,-i
Multiplicative inverse of the non-zero complex number (x + iy) (x, y ∈ R) is
x/(x + y) - y,(x + y) i
x/(x2 + y2) - y/(x2 + y2) i
-x/(x2 + y2) + y/(x2 +y2) i
x/(x + y) + y/(x + y) i
If x2 - 3x + 2 be one of the factors of the expression x4 - px2 + q, then
p = 4 and q = 5
p = 5 and q = 4
p = -5 and q = -4
p = -4 and q = -5
If (1 + i ) (1 + 2 i) (1 + 3 i) ... (1 + n i) = x + iy, then the value of 2 ×5 ×10 ... ×(1 + n2) is
x2 + y2
x2 - y2
a + ib < c + id : a, b, c, d ∈ R is meaningful only when
a2 + c2 = 0
b2 + c2 = 0
b2 +d2 = 0
a2 + d2 = 0
If x = -5 + 2√-4, the value of x4 + 9x3 + 35x2 - x + 4 is
-160
160
158
150
If ∝ and β are the roots of x2+ px + q = 0, then the value of (ω∝ + ω2β)(ω2∝ + ωβ) is
p2 - 3q
p2 - 2q
p - 2q
2p - q
If Z1 and Z2 are two non-zero complex number such that |Z1 + Z2| = |Z1| + |Z2|, then arg (Z1) - arg (Z2) is equal to
-π
-π/2
