JEE Main 2023 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 6 April 2023, Shift 2, Maths Q21

Question 21 of 90 in this shift, Maths question 21 of 30, Section B.

For

\alpha,\beta,z\in\mathbb{C}

and

\lambda>1

, if

\sqrt{\lambda-1}

is the radius of the circle

|z-\alpha|^2+|z-\beta|^2=2\lambda

, then

|\alpha-\beta|

is equal to ________.

Official answer

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: Complex Numbers - Polar Form
Idea tested: Distance Formula in Polar Coordinates

Same topic in other shifts

All Complex Numbers - Polar Form questions

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.