Complex NumbersHard

Question

If log_1/2 > 1, then find locus of z

Options

A.Exterior to circle with center 1 + i0 and radius 10

B.Interior to circle with center 1 + i0 and radius 10

C.Circle with center 1 + i0 and radius 10

D.None of these

Solution

og1/2 > 1
0 < |z - 1| = t
0 <
0 <
⇒ t > 10 So true

Create a free account to view solution

View Solution Free

Topic: Complex Numbers·Practice all Complex Numbers questions

More Complex Numbers Questions

If z = cos θ + i sin θ , then is equal to...Let ω be a complex cube root of unity with ω ≠ 1. fair die is thrown three times. If r1, r2 and r3 are t...The complex numbers z = x + iy which satisfy the equation = l, lie on...If z, z1 and z2 are complex numbers such that z = z1.z2 and | - z1 ≤ 1. then maximum value of |z| - Re(z) is -...Points z1 & z2 are adjacent vertices of a regular octagon. The vertex z3 adjacent to z2 (z3 z1) can be represented by -...