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Beliebt Geometry >

((u+v)/(u^2+v^2))+((-v+u)/(u^2+v^2))=1

Lösung

(\frac{u + v}{u ^{2} + v ^{2}}) + (\frac{- v + u}{u ^{2} + v ^{2}}) = 1

Lösung

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

Schritte zur Lösung

\frac{u + v}{u ^{2} + v ^{2}} + \frac{- v + u}{u ^{2} + v ^{2}} = 1

Rewrite

\frac{u + v}{u ^{2} + v ^{2}} + \frac{- v + u}{u ^{2} + v ^{2}} = 1

in the form of the standard ellipse equation

\frac{( u - 1 ) ^{2}}{1 ^{2}} + \frac{( v - 0 ) ^{2}}{1 ^{2}} = 1

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

3 x^{2} + 2 y^{2} - 6 = 0

((x+2)^2)/4+((y+2)^2)/9 =1

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

((x^{(2)}))/((64))+((y^{(2)}))/((36))=1

\frac{( x ^{(2)} )}{( 64 )} + \frac{( y ^{(2)} )}{( 36 )} = 1

((x+1)^2)/(15/4)+((y+3/2)^2)/(16)=1

\frac{( x + 1 ) ^{2}}{\frac{15}{4}} + \frac{( y + \frac{3}{2} ) ^{2}}{16} = 1

(x^2)/(1/2)+(y^2)/(1/2-16)=1

\frac{x ^{2}}{\frac{1}{2}} + \frac{y ^{2}}{\frac{1}{2} - 16} = 1