What is the axis 49x^2+16y^2=784 ?

The axis 49x^2+16y^2=784 is semi-major axis b=7, semi-minor axis a=4

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axis 49x^2+16y^2=784

axis

49 x^{2} + 16 y^{2} = 784

semi - major axis b = 7, semi - minor axis a = 4

Solution steps

49 x^{2} + 16 y^{2} = 784

Rewrite

49 x^{2} + 16 y^{2} = 784

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{4 ^{2}} + \frac{( y - 0 ) ^{2}}{7 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 4, b = 7

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 7, a = 4

x^{2} + 4 y^{2} + 6 x + 16 y + 21 = 0

x^{2} + 2 y^{2} - 8 y = 0

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

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

81 x^{2} - 1296 x + 16 y^{2} + 64 y = - 3952

What is the axis 49x^2+16y^2=784 ?
The axis 49x^2+16y^2=784 is semi-major axis b=7, semi-minor axis a=4