What is the axis 27x^2+48y^2-54x-192y-213=0 ?

The axis 27x^2+48y^2-54x-192y-213=0 is semi-major axis a=4, semi-minor axis b=3

Popular >

axis 27x^2+48y^2-54x-192y-213=0

axis

27 x^{2} + 48 y^{2} - 54 x - 192 y - 213 = 0

semi - major axis a = 4, semi - minor axis b = 3

Solution steps

27 x^{2} + 48 y^{2} - 54 x - 192 y - 213 = 0

Rewrite

27 x^{2} + 48 y^{2} - 54 x - 192 y - 213 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, 2), a = 4, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, 2), a = 4, b = 3

4 x^{2} + 25 y^{2} + 32 x - 250 y + 589 = 0

4 x^{2} + y^{2} = 1

\frac{x ^{2}}{36} + \frac{y ^{2}}{100} = 1

9 x^{2} + 25 y^{2} = 900

\frac{( x - 2 ) ^{2}}{36} + \frac{( y + 5 ) ^{2}}{9} = 1

What is the axis 27x^2+48y^2-54x-192y-213=0 ?
The axis 27x^2+48y^2-54x-192y-213=0 is semi-major axis a=4, semi-minor axis b=3