What is the axis (x^2)/(36)+(y^2)/(11)=1 ?

The axis (x^2)/(36)+(y^2)/(11)=1 is semi-major axis a=6, semi-minor axis b=sqrt(11)

Popular >

axis (x^2)/(36)+(y^2)/(11)=1

axis

\frac{x ^{2}}{36} + \frac{y ^{2}}{11} = 1

semi - major axis a = 6, semi - minor axis b = 11

Solution steps

\frac{x ^{2}}{36} + \frac{y ^{2}}{11} = 1

Rewrite

\frac{x ^{2}}{36} + \frac{y ^{2}}{11} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{6 ^{2}} + \frac{( y - 0 ) ^{2}}{( 11 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 6, b = 11

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 6, b = 11

36 x^{2} + 11 y^{2} + 144 x + 44 y - 208 = 0

9 x^{2} + 16 y^{2} + 90 x + 32 y + 97 = 0

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

x^{2} + 4 y^{2} - 6 x + 12 y - 11 = 0

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

What is the axis (x^2)/(36)+(y^2)/(11)=1 ?
The axis (x^2)/(36)+(y^2)/(11)=1 is semi-major axis a=6, semi-minor axis b=sqrt(11)