What is the axis (x^2)/(25)+(y^2)/(36)=1 ?

The axis (x^2)/(25)+(y^2)/(36)=1 is semi-major axis b=6, semi-minor axis a=5

Popular >

axis (x^2)/(25)+(y^2)/(36)=1

axis

\frac{x ^{2}}{25} + \frac{y ^{2}}{36} = 1

semi - major axis b = 6, semi - minor axis a = 5

Solution steps

\frac{x ^{2}}{25} + \frac{y ^{2}}{36} = 1

Rewrite

\frac{x ^{2}}{25} + \frac{y ^{2}}{36} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{5 ^{2}} + \frac{( y - 0 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 5, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 6, a = 5

9 x^{2} + 16 y^{2} = 144

\frac{x ^{2}}{16} + \frac{y ^{2}}{25} = 1

\frac{x ^{2}}{81} + \frac{y ^{2}}{64} = 1

41 x^{2} + 16 y^{2} + 246 x - 192 y + 289 = 0

x^{2} + y^{2} - 2 y = 0

What is the axis (x^2)/(25)+(y^2)/(36)=1 ?
The axis (x^2)/(25)+(y^2)/(36)=1 is semi-major axis b=6, semi-minor axis a=5