What is (x^2)/(12)+(y^2)/(144)= y/(12) ?

The solution to (x^2)/(12)+(y^2)/(144)= y/(12) is Ellipse with (h,k)=(0,6),a=sqrt(3),b=6

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(x^2)/(12)+(y^2)/(144)= y/(12)

\frac{x ^{2}}{12} + \frac{y ^{2}}{144} = \frac{y}{12}

(h, k) = (0, 6), a = 3, b = 6

Solution steps

\frac{x ^{2}}{12} + \frac{y ^{2}}{144} = \frac{y}{12}

Rewrite

\frac{x ^{2}}{12} + \frac{y ^{2}}{144} = \frac{y}{12}

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 3 ) ^{2}} + \frac{( y - 6 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 6), a = 3, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 6), b = 6, a = 3

2 x^{2} + 5 y^{2} - 6 x - 2 y + 4 = 0

9 x^{2} + 36 x + 4 y^{2} - 24 y + 36 = 0

\frac{( x - 1 ) ^{2}}{3} + \frac{( y - 1 ) ^{2}}{25} = 1

\frac{( x - 4 ) ^{2}}{16} + \frac{( y + 2 ) ^{2}}{36} = 1

\frac{( x - 4 ) ^{2}}{4.5} + \frac{( y - 1 ) ^{2}}{1} = 1

What is (x^2)/(12)+(y^2)/(144)= y/(12) ?
The solution to (x^2)/(12)+(y^2)/(144)= y/(12) is Ellipse with (h,k)=(0,6),a=sqrt(3),b=6