What is x^2+y^2-14y=0 ?

The solution to x^2+y^2-14y=0 is Ellipse with (h,k)=(0,7),a=7,b=7

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x^2+y^2-14y=0

x^{2} + y^{2} - 14 y = 0

(h, k) = (0, 7), a = 7, b = 7

Solution steps

x^{2} + y^{2} - 14 y = 0

Rewrite

x^{2} + y^{2} - 14 y = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{7 ^{2}} + \frac{( y - 7 ) ^{2}}{7 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 7), a = 7, b = 7

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 7), b = 7, a = 7

\frac{x ^{2}}{( 2.67 ) ^{2}} + \frac{y ^{2}}{( 2.85 ) ^{2}} = 1

\frac{x ^{2}}{45} + \frac{y ^{2}}{9} = 1

\frac{( x - 2 ) ^{2}}{225} + \frac{( y - 8 ) ^{2}}{81} = 1

1 x^{2} + 3 y^{2} + 10 x + 9 y - 10 = 0

2 x^{2} + 3 y^{2} + 8 x + 8 y - 10 = 0

What is x^2+y^2-14y=0 ?
The solution to x^2+y^2-14y=0 is Ellipse with (h,k)=(0,7),a=7,b=7