What is (x^2}{100}+\frac{y^2)/4 =1 ?

The solution to (x^2}{100}+\frac{y^2)/4 =1 is Ellipse with (h,k)=(0,0),a=10,b=2

Popular >

(x^2}{100}+\frac{y^2)/4 =1

\frac{x ^{2}}{100} + \frac{y ^{2}}{4} = 1

(h, k) = (0, 0), a = 10, b = 2

Solution steps

\frac{x ^{2}}{100} + \frac{y ^{2}}{4} = 1

Rewrite

\frac{x ^{2}}{100} + \frac{y ^{2}}{4} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 10, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 10, b = 2

\frac{( x - 6 ) ^{2}}{100} + \frac{( y + 3 ) ^{2}}{16} = 1

2 x^{2} + 4 y^{2} + 9 x + 9 y - 17 = 0

(\frac{( x - 1 ) ^{2}}{4}) + (\frac{( y - 2 ) ^{2}}{9}) = 1

\frac{y ^{2}}{25} + \frac{x ^{2}}{4} = 1

3 x^{2} + 2 y^{2} = 35

What is (x^2}{100}+\frac{y^2)/4 =1 ?
The solution to (x^2}{100}+\frac{y^2)/4 =1 is Ellipse with (h,k)=(0,0),a=10,b=2