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Beliebt Geometry >

12x^2+4y^2-24x-4y+1=0

Lösung

12 x^{2} + 4 y^{2} - 24 x - 4 y + 1 = 0

Lösung

(h, k) = (1, \frac{1}{2}), a = 1, b = 3

Schritte zur Lösung

12 x^{2} + 4 y^{2} - 24 x - 4 y + 1 = 0

Rewrite

12 x^{2} + 4 y^{2} - 24 x - 4 y + 1 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, \frac{1}{2}), a = 1, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, \frac{1}{2}), b = 3, a = 1

Graph

Beliebte Beispiele

36x^2+16y^2-180x+96y-207=0

36 x^{2} + 16 y^{2} - 180 x + 96 y - 207 = 0

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12x^2+16y^2-120x+64y+172=0

12 x^{2} + 16 y^{2} - 120 x + 64 y + 172 = 0

16x^2+9y^2-64x-54y+1=0

16 x^{2} + 9 y^{2} - 64 x - 54 y + 1 = 0

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