The equation having 4 - 3i and 4 + 3i as roots is
x2 + 8x + 25 = 0
x2 + 8x - 25 = 0
x2 - 8x + 25 = 0
x2 - 8x - 25 = 0
If eiθ = cosθ + i sinθ, then for the ΔABC eiA eiB eiC =
-i
1
-1
0
The quadratic equation whose root are ± i√18
x2 ± i√18 = 0
x2 + 2√18 = 0
x2 - 18 = 0
x2 + 18 = 0
-1+√-3 = re iθ,then θ is equal to
2n/3
-2n/3
n/3
-n/3
The modulus and the principal amplitude of (1 + i√3)2respectively are
2,π/2
4,2π/4
5/8,tan-1(-4/3)
4 -3π/4
The principal value of argument of 1 + i is
∏/2
∏/3
∏/4
None of these
If (3 + i)x + (1 - 2i)y + 7i = 0 and (x + iy)2 = a + ib then a2 + b2 =
70
100
10
25
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
Multiplicative inverse of the non-zero complex number (x + iy), (x,y∈R) is
Which of the following is not applicable for a complex number ?
Addition
Subtraction
Division
Inequality
