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

waigaK 2021-11-08 Answered
Replace the polar equations with equivalent Cartesian equations. Then describe or identify the graph. r2=6rsinθ
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Brighton
Answered 2021-11-09 Author has 103 answers

r2=6rsinθ
The Cartesian equation is x2+y2=6y   [x=rcosθ,y=rsinθ & r=x2+y2]
x2+y2+6y=0
x2+y2+6y+9=9
x2+(y+3)2=9
(x0)2+(y(3))2=32
Now its the form of of(xh)2+(yk)2=r2
Hence it represents a circle with centre at (h,k)(0,-3)& radius 3

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