What is 2x^2+11y^2=11 ?

The solution to 2x^2+11y^2=11 is Ellipse with (h,k)=(0,0),a=sqrt(11/2),b=1

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2x^2+11y^2=11

2 x^{2} + 11 y^{2} = 11

(h, k) = (0, 0), a = \frac{11}{2}, b = 1

Solution steps

2 x^{2} + 11 y^{2} = 11

Rewrite

2 x^{2} + 11 y^{2} = 11

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{11}{2} ) ^{2}} + \frac{( y - 0 ) ^{2}}{1 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{11}{2}, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = \frac{11}{2}, b = 1

What is 2x^2+11y^2=11 ?
The solution to 2x^2+11y^2=11 is Ellipse with (h,k)=(0,0),a=sqrt(11/2),b=1