What is 11x^2+13y^2-143=0 ?

The solution to 11x^2+13y^2-143=0 is Ellipse with (h,k)=(0,0),a=sqrt(13),b=sqrt(11)

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11x^2+13y^2-143=0

11 x^{2} + 13 y^{2} - 143 = 0

(h, k) = (0, 0), a = 13, b = 11

Solution steps

11 x^{2} + 13 y^{2} - 143 = 0

Rewrite

11 x^{2} + 13 y^{2} - 143 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 13 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 11 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 13, b = 11

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 13, b = 11

What is 11x^2+13y^2-143=0 ?
The solution to 11x^2+13y^2-143=0 is Ellipse with (h,k)=(0,0),a=sqrt(13),b=sqrt(11)