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

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

Question

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

0
2
7
17

easy

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

.

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

SIMILAR QUESTIONS

Q1

Solve it

easy View solution

Q2

Find all the values of the given root:

diffcult View solution

Q3

are the n, nth roots of unity,

easy View solution

Q4

If ω is fifth root of unity, then

easy View solution

Q5

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

medium View solution

Q6

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

easy View solution

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

medium View solution

Q8

easy View solution

Q9

medium View solution

Q10

, show that z₁, z₂, z₃ are the vertices of an equilateral triangle inscribed in a unit circle.

diffcult View solution