﻿ For all complex numbers z1, z2 satisfying , the minimum value of  : Kaysons Education

# For All Complex Numbers z1, z2 satisfying , The Minimum Value Of

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## Question

### Solution

Correct option is

2

The two circles are  and it passes through origin, the centre of C1

Hence circle C2 lies inside circle C1

Therefore minimum distance between them is

.

#### SIMILAR QUESTIONS

Q1

Solve it

Q2

Find all the values of the given root:

Q3

are the n, nth roots of unity,

Q4

If ω is fifth root of unity, then

Q5

, then find the equation whose roots are p and q.

Q6

Find the roots of the equation , whose real part is negative.

Q7

Let z1 and z2 be nth roots of unity which subtend a right angle at the origin. Then n must be of the form

Q9
Q10

, show that z1z2z3 are the vertices of an equilateral triangle inscribed in a unit circle.