The Complex Numbers Z1, Z2 and Z3 satisfying are The Vertices Of A Triangle Which Is

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

The complex numbers z₁, z₂ and z₃ satisfying are the vertices of a triangle which is

easy

Solution

Correct option is

Obtuse-angled isosceles

Taking mode of both sides of given relation,

Hence âˆ† is isosceles.

Anticlocklwise rotation implies that ∠ABC = 60^o.

Hence isosceles âˆ†

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

SIMILAR QUESTIONS

Q1

are the n, nth roots of unity,

easy View solution

Q2

If ω is fifth root of unity, then

easy View solution

Q3

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

medium View solution

Q4

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

easy View solution

Q5

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

Q6

easy View solution

Q7

medium View solution

Q8

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

easy View solution

Q9

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

diffcult View solution

Q10

Find the complex numbers z which simultaneously satisfy the equation

.

diffcult View solution