i^{38} =
-1
1
-i
i
The value of (i)^{243} is equal to _________
a + ib < c + id : a, b, c, d ∈ R is meaningful only when
a^{2} + c^{2} = 0
b^{2} + c^{2} = 0
b^{2} +d^{2} = 0
a^{2} + d^{2} = 0
If
a = 0 and b = 1
a = 1 and b = 0
a = 2 and b = -1
a = -1 and b = 2
(2i/1 + i)^{2} is equal to _____________
2i
1 - i
2
If we express ( 2 + 3 i ) ^{2} in the form of ( x + iy ) , we get
-5 + 12 i
12 - 5 i
5 - 12 i
12 + 5 i
If conjugate and reciprocal of a complex number z = x + iy are equal , then
x + y = 1
x^{2} + y^{2} = 1
x = 1 and y = 0
x = 0 and y = 1
The polar form of complex number is
PQ and PR are two infinite rays,QAR is an arc.The point lying in the shaded region excluding the boundary , satisfies.
|z - 1 | > 2 : |arg(z - 1) | < π/4
|z - 1 | > 2 : |arg(z - 1 ) | < π/2
|z - 1 | > 2 : |arg(z + 1) |
|z - 1 | > 2: |arg(z + 1) | < π/2
The roots of the equation x^{4} - 8x^{2} - 9 = 0 are
±5 and ±1
±4 and ±1
±3 and ±i
±2 and ±i