Replace the Cartesian equation with equivalent polar equations. x^{2}+xy+y^{2}=1

fortdefruitI

fortdefruitI

Answered question

2021-05-12

Replace the Cartesian equation with equivalent polar equations.
x2+xy+y2=1

Answer & Explanation

Alix Ortiz

Alix Ortiz

Skilled2021-05-13Added 109 answers

Given,
x2+xy+y2=1
On simplification, we get
x2+xy+y2=1
(x2+y2)+xy=1
r2+rcos0rsin0=1   [x=rcos0,y=rsin0 & r2=x2+y2]
r2(1+cos0sin0)=1
r2(1+sin202)=1   [sin20=2sin0cos0]
r2(2+sin202)=1
r2(2+sin20)=2
r2=22+sin20
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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