What is x^2+(y^2)/(100)=1 ?

The solution to x^2+(y^2)/(100)=1 is Ellipse with (h,k)=(0,0),a=1,b=10

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x^2+(y^2)/(100)=1

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

(h, k) = (0, 0), a = 1, b = 10

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 1, b = 10

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 10, a = 1

\frac{x ^{2}}{64} + \frac{y ^{2}}{15} = 1

\frac{x ^{2}}{3} + \frac{y ^{2}}{9} = 1

25 x^{2} + 9 y^{2} - 150 x - 18 y + 9 = 0

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

25 y^{2} + 4 x^{2} - 250 y - 16 x + 541 = 0

What is x^2+(y^2)/(100)=1 ?
The solution to x^2+(y^2)/(100)=1 is Ellipse with (h,k)=(0,0),a=1,b=10