Q. 1 D4.0( 11 Votes )
Express the following complex numbers in the standard form a + i b :

Answer :
Given:
⇒
Multiplying and dividing by 1-i
⇒
⇒
We know that i2=-1
⇒
⇒
⇒
⇒
∴ The values of a, b is 0, -1.
Rate this question :






















If z and w are two complex numbers such that |zw| = 1 and arg (z) – arg (w) = π/2, then show that
State True of False for the following:
The inequality |z – 4| < |z – 2| represents the region given by x > 3.
Mathematics - ExemplarState True of False for the following:
If z is a complex number such that z ≠ 0 and Re (z) = 0, then Im (z2) = 0.
Mathematics - ExemplarState True of False for the following:
The locus represented by |z – 1| = |z – i| is a line perpendicular to the join of (1, 0) and (0, 1).
Mathematics - ExemplarSolve for x: (1 – i) x + (1 + i) y = 1 – 3i.
RS Aggarwal - MathematicsFind the real value of a for which 3i3 – 3ai2 + (1 – a) i + 5 is real.
RD Sharma - MathematicsIf n ∈ N, then find the value of in + in + 1 + in + 2 + in + 3.
RD Sharma - MathematicsWrite the least positive integral value of n for which is real.
If find the value of x2 + y2.
If n is any positive integer, write the value of