Please-how-did-z-a-r-became-z-a-re-i- Tinku Tara August 11, 2023 Others 0 Comments FacebookTweetPin Question Number 195848 by pete last updated on 11/Aug/23 Pleasehowdid∣z−a∣=rbecamez=a+reiθ? Answered by Frix last updated on 11/Aug/23 ∣z−a∣=r⇒z−a=reiθThisstepisalwaystrue,evenforz−a∈Rbecausewecanalwaysfindaθ:ifz−a>0⇒θ=0,ifz−a<0⇒θ=πz−a=reiθ⇔z=a+reiθ Answered by AST last updated on 11/Aug/23 ∣z−a∣=ristheequationforthecirclecenteredatawithradiusrSo,wegetz(pointsonthecircle)bytranslatingacirclewithcentreattheorigin(0,0)andradiusrtoareiθ⇒thelocusofpointsgeneratedbyrotatingavectorwithmagnituderaroundtheorigin(thisgivesacircle)+a⇒translatingreiθbya,thecentre(origin)isalsotranslatedbya⇒reiθ+agivesacirclewithcentreata[∣z−a∣=r] Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: 3-12-1-3-3-1-3-x-1-3-y-1-3-z-1-3-x-y-z-N-x-y-z-mr-W-please-help-me-and-other-my-friends-please-help-me-Next Next post: Question-195823 Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.