What is (x^2)/9+((y-3)^2)/4 =1 ?

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

Popular >

(x^2)/9+((y-3)^2)/4 =1

\frac{x ^{2}}{9} + \frac{( y - 3 ) ^{2}}{4} = 1

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

Solution steps

\frac{x ^{2}}{9} + \frac{( y - 3 ) ^{2}}{4} = 1

Rewrite

\frac{x ^{2}}{9} + \frac{( y - 3 ) ^{2}}{4} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

x^{2} + 4 y^{2} - 6 x + 16 y = 0

2 x^{2} + 4 y^{2} + 10 x + 10 y - 3 = 0

9 x^{2} + 25 y^{2} - 18 x + 200 y + 184 = 0

(x^{2} + 9 x) + (4 y^{2} + 10) = 5

\frac{( x - 3 ) ^{2}}{21} + \frac{( y - 2 ) ^{2}}{25} = 1

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