If (a + ib) (c + id) (e + if) (g + ih) = A + iB, then (a2 + b2) (c2 + a2) (e2 + f2) (g2 + h2) is equal to
A2 + B2
A2 - B2
4 (b2 - a2)
None of these
The value of x and y satisfying the equation
are
x = -1, y = 3
x = 3, y = -1
x = 0, y = 1
x = 1, y = 0
Given that the equation z2 + (p + iq)z + r + is = 0, where p, q, r, s are real and non-zero root, then
pqr = r2 + p2s
prs = q2 + r2p
qrs = p2 + s2q
pqs = s2 + q2r
The complex numbers sinx + i cos2x and cosx - i sin2x are conjugate to each other for
x = nπ
x = (n + 1/2)π
x = 0
No value of x
For two complex number Z1, Z2, the relation |Z1 +Z2| = |Z1| + |Z2| holds, if
arg (z1) = arg (z2)
arg (z1) + arg (Z2) = π/2
Z1Z2 = 1
|Z1| = |Z2|
The number of non-zero integral solutions of the equation |1-i|x = 2x is
Infinite
1
2
. If α is a real number such that z - i α is real, then the value of α is
4
-4
7
-7
Let Z1 be a complex number with |Z1| = 1 and Z2 be any complex number, then is equal to.
0
-1
If xr = cos (π/2r) + i sin (π/2r), then x1.x2....∞ is
-3
-2
If |z + 4| ≤ 3, then the greatest and the least value of |z + 1| are:
6, -6
6, 0
7, 2
0, -1
