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## Homework Statement

Replace the polar equation with an equivalent Cartesian equation.

##r^2 = 26r cos θ - 6r sin θ - 9##

a)##(x - 13)^2 + (y + 3)^2 = 9##

b)##(x + 26)^2 + (y - 6)^2 = 9##

c)##26x - 6y = 9##

d)##(x - 13)^2 + (y + 3)^2 = 169##

## Homework Equations

##x= r cos \theta##

##y= r sin \theta##

##x^2+y^2 = r^2##

## The Attempt at a Solution

##r^2 = 26r cos θ - 6r sin θ - 9##

##x^2 + y^2 = 26 x - 6 y -9 ##

##x^2 -26x + y^2 + 6 y = -9 ##

##(x-13)^2 - 169 + ( y+3 )^2 -9 = -9##

##(x-13)^2 + (y+3)^2 = 169 ##

The answer is (d) . Right ?