Q42 of 153 Page 14

Mark the Correct alternative in the following:

Which of the following is correct for any two complex numbers z1 and z2?


Let, z1= r1eiα and z2 = r2eiβ

|z1| = r1 and |z2| = r2


Option A


z1z2 = r1r2ei(α+β)


|z1z2| = r1r2 = |z1| |z2|


Option A correct


Option B


arg(z1z2) = α + β


= arg(z1) + arg(z2)


Option B not correct


Let, z1 = a+ ib and z2 = c + id


Option C


z1 + z2 = (a+c) + i(b+d)




We cannot say anything about option c and option d

More from this chapter

All 153 →
39

Mark the Correct alternative in the following:

A real value of x satisfies the equation if a2 + b2 =


 40

Mark the Correct alternative in the following:

The complex number z which satisfies the condition lies on


 41

Mark the Correct alternative in the following:

If z is a complex number, then


 43

Mark the Correct alternative in the following:

If the complex number z = x + iy satisfies the condition |z + 1| = 1, then z lies on