Replace the polar equations with equivalent Cartesian equations. Then describe o

texelaare

texelaare

Answered question

2021-09-27

Replace the polar equations with equivalent Cartesian equations. Then describe or identify the graph.
r2=6rsin0

Answer & Explanation

Liyana Mansell

Liyana Mansell

Skilled2021-09-28Added 97 answers

Given,
r2=6rsin0
The Cartesian equation is,
x2+y2=6y   [x=rcos0,y=rsin0&r=x2+y2]
x2+y2+6y=0
On simplification, we get
x2+y2+6y+9=9
x2+(y+3)2=9
(x0)2+(y(3))2=32
Now it is in the form of (xh)2+(yk)2=r2
Hence it represents a circle with centre at (h,k)=(0,3) & radius 3 units.

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