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Beliebt Geometry >

((x^2))/((4))+(((y-1)^2))/((9))<1

Lösung

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

Lösung

(h, k) = (0, 1), a = 2, b = 3

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{2 ^{2}} + \frac{( y - 1 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 1), a = 2, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 1), b = 3, a = 2

Graph

Beliebte Beispiele

((x+6)^2)/7+((y-3)^2)/(16)=1

\frac{( x + 6 ) ^{2}}{7} + \frac{( y - 3 ) ^{2}}{16} = 1

4x^2+y^2+64x-y+201=0

4 x^{2} + y^{2} + 64 x - y + 201 = 0

5x^2+25y^2-125=0

5 x^{2} + 25 y^{2} - 125 = 0

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

64 x^{2} + y^{2} = 64