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Beliebt Geometry >

(X/3)^2+(Y/2)^2=1

Lösung

(\frac{X}{3})^{2} + (\frac{Y}{2})^{2} = 1

Lösung

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

Schritte zur Lösung

(\frac{X}{3})^{2} + (\frac{Y}{2})^{2} = 1

Rewrite

(\frac{X}{3})^{2} + (\frac{Y}{2})^{2} = 1

in the form of the standard ellipse equation

\frac{( X - 0 ) ^{2}}{3 ^{2}} + \frac{( Y - 0 ) ^{2}}{2 ^{2}} = 1

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

x^2+14(y-(sqrt(13))/(14))^2-125/14 =0

x^{2} + 14 (y - \frac{13}{14})^{2} - \frac{125}{14} = 0

((x-3)^2}{49}+\frac{(y+1)^2)/4 =1

\frac{( x - 3 ) ^{2}}{49} + \frac{( y + 1 ) ^{2}}{4} = 1

7x^2+3y^2-42x+6y-39=0

7 x^{2} + 3 y^{2} - 42 x + 6 y - 39 = 0

3 x^{2} + 5 y^{2} = 8

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

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