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Popular Geometry >

x^2=6y-y^2

Solution

x^{2} = 6 y - y^{2}

Solution

(h, k) = (0, 3), a = 3, b = 3

Solution steps

x^{2} = 6 y - y^{2}

Rewrite

x^{2} = 6 y - y^{2}

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} + \frac{( y - 3 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 3), a = 3, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 3), b = 3, a = 3

Graph

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Frequently Asked Questions (FAQ)

What is x^2=6y-y^2 ?
The solution to x^2=6y-y^2 is Ellipse with (h,k)=(0,3),a=3,b=3