What is 1/9 x^2+1/16 y^2=1 ?

The solution to 1/9 x^2+1/16 y^2=1 is Ellipse with (h,k)=(0,0),a=3,b=4

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1/9 x^2+1/16 y^2=1

\frac{1}{9} x^{2} + \frac{1}{16} y^{2} = 1

(h, k) = (0, 0), a = 3, b = 4

Solution steps

\frac{1}{9} x^{2} + \frac{1}{16} y^{2} = 1

Rewrite

\frac{1}{9} x^{2} + \frac{1}{16} y^{2} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} + \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 4, a = 3

4 (x - 2)^{2} + 9 (y - 3)^{2} = 36

\frac{x ^{2}}{7. 5 ^{2}} + \frac{y ^{2}}{9 ^{2}} = 1

9 y^{2} = 36 - 4 x^{2}

\frac{x ^{2}}{98} + \frac{y ^{2}}{2} = 1

x^{2} + 4 y^{2} + 10 x - 8 y + 13 = 0

What is 1/9 x^2+1/16 y^2=1 ?
The solution to 1/9 x^2+1/16 y^2=1 is Ellipse with (h,k)=(0,0),a=3,b=4