(1 + i)24 + (1 - i)24 =
212
0
213
224
If a>0, b>0 then √-a √-b =
√ab
-√ab
-ab
iab
If x = cosθ + i sinθ then the value of xn + 1/xn is
2 cos nθ
2 i sin n θ
2 sin n θ
2 i cos n θ
If ω is the complex cube root of unity, then the value of the product (1 + ω)(1 +ω2)(1 + ω4)(1 + ω8)(1 + ω16)(1 + ω32) =
1
ω
-1
ω2
The principal value of the amplitude of (1 + i) is
π/2
π/4
π
3π/4
If a = 3 + i and z = 2 - 3i, then the points on the Argand diagram representing az, 3az and - az are
Vertices of a right angled triangle
Vertices of a equilateral triangle
Vertices of an isosceles triangle
Collinear
Solution of √5x2+ x + √5 = 0 is
(1 ± √19)/2√5
(-1 ± i√19)/2 √5
(-1 ± 5)/2√5
none of these
The representation of z = 1 + i√3 in polar form is
2[cosπ/6 + i sinπ/6]
2[cosπ/4 + i sinπ/4]
2[cosπ/3 + i sinπ/3]
2[sinπ/2 + i sinπ/2]
The continued product of the fourth roots of unity is
i
10
8
6
