What is (y^2)/4+(x^2)/9 =1 ?

The solution to (y^2)/4+(x^2)/9 =1 is Ellipse with (h,k)=(0,0),a=3,b=2

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(y^2)/4+(x^2)/9 =1

\frac{y ^{2}}{4} + \frac{x ^{2}}{9} = 1

(h, k) = (0, 0), a = 3, b = 2

Solution steps

\frac{y ^{2}}{4} + \frac{x ^{2}}{9} = 1

Rewrite

\frac{y ^{2}}{4} + \frac{x ^{2}}{9} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 3, b = 2

9 x^{2} + 25 y^{2} + 36 x - 200 y + 211 = 0

8 x^{2} + y^{2} + 4 y = 0

4 x^{2} + 6 y^{2} - 8 x + 4 y - 6 \geq 0

25 x^{2} + 4 y^{2} + 200 x - 8 y + 304 = 0

(x - 3)^{2} + 16 (y - 2)^{2} = 16

What is (y^2)/4+(x^2)/9 =1 ?
The solution to (y^2)/4+(x^2)/9 =1 is Ellipse with (h,k)=(0,0),a=3,b=2