What is the axis 4x^2+49y^2=196 ?

The axis 4x^2+49y^2=196 is semi-major axis a=7, semi-minor axis b=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

axis 4x^2+49y^2=196

axis

4 x^{2} + 49 y^{2} = 196

semi - major axis a = 7, semi - minor axis b = 2

Solution steps

4 x^{2} + 49 y^{2} = 196

Rewrite

4 x^{2} + 49 y^{2} = 196

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 7, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 7, b = 2

\frac{( x - 1 ) ^{2}}{25} + \frac{( y + 3 ) ^{2}}{16} = 1

3 x^{2} + y^{2} - 24 x + 39 = 0

\frac{x ^{2}}{5} + \frac{y ^{2}}{9} = 1

36 x^{2} + 5 y^{2} - 90 y - 495 = 0

x^{2} + 4 y^{2} = 46

What is the axis 4x^2+49y^2=196 ?
The axis 4x^2+49y^2=196 is semi-major axis a=7, semi-minor axis b=2