What is (x^2)/(a^2)+(y^2)/(b^2)=1 ?

The solution to (x^2)/(a^2)+(y^2)/(b^2)=1 is Ellipse with (h,k)=(0,0),a=a,b=b

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x^2)/(a^2)+(y^2)/(b^2)=1

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1

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

Solution steps

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1

Rewrite

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

\frac{x ^{2}}{7} - \frac{y ^{2}}{2} = 1

x^{2} + y^{2} + 12 x - 12 y + 36 = 0

x^{2} + y^{2} = 18

\frac{y ^{2}}{64} - \frac{x ^{2}}{9} = 1

x^{2} - 12 y - 6 x + 5 = 0

What is (x^2)/(a^2)+(y^2)/(b^2)=1 ?
The solution to (x^2)/(a^2)+(y^2)/(b^2)=1 is Ellipse with (h,k)=(0,0),a=a,b=b