What is the axis (x^2)/3+(y^2)/2 =1 ?

The axis (x^2)/3+(y^2)/2 =1 is semi-major axis a=sqrt(3), semi-minor axis b=sqrt(2)

Popular >

axis (x^2)/3+(y^2)/2 =1

axis

\frac{x ^{2}}{3} + \frac{y ^{2}}{2} = 1

semi - major axis a = 3, semi - minor axis b = 2

Solution steps

\frac{x ^{2}}{3} + \frac{y ^{2}}{2} = 1

Rewrite

\frac{x ^{2}}{3} + \frac{y ^{2}}{2} = 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

36 x^{2} + 9 y^{2} - 324 = 0

16 x^{2} + 25 y^{2} - 224 x + 250 y = 191

9 x^{2} + 4 y^{2} - 18 x + 8 y - 23 = 0

\frac{x ^{2}}{4} + \frac{y ^{2}}{25} = 1

4 x^{2} + 9 y^{2} - 8 x + 90 y + 193 = 0

What is the axis (x^2)/3+(y^2)/2 =1 ?
The axis (x^2)/3+(y^2)/2 =1 is semi-major axis a=sqrt(3), semi-minor axis b=sqrt(2)