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
The polar form of complex number sin 120o - i cos 120o is
If |z + 4| ≤ 3, then the greatest and the least value of |z + 1| are:
6, -6
6, 0
7, 2
0, -1
If arg (z - a ) = π/4, where a ∈ R, then the locus of z ∈ C is a
Hyperbola
Parabola
Ellipse
Straight line
If equation p2 + q2 = 1 ; p, q ∈ R, then the value of is
p + qi
p - qi
q + pi
q - pi
The complex number lies in which quadrant of the complex plane ?
First
Second
Third
Fourth
If 3 + 4i is a root of the equation x2 + px + q = 0, then
p = 6 and q = 25
p = 6 and q = 1
p = -6 and q = -7
p = -6 and q = 25
The polar form of complex number 1 + i is
√2 (cos π/4 + i sin π/4 )
√2 (cos 2π/4 + i sin 2π/4
√2 (cos π/4 - i sin π/4 )
√3 (sin 2π/4 + i cos 2π/4)
The conjugate of the complex number is
If conjugate and reciprocal of a complex number z = x + iy are equal , then
x + y = 1
x2 + y2 = 1
x = 1 and y = 0
x = 0 and y = 1
