de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

x^2+y^2<= y

Lösung

x^{2} + y^{2} \leq y

Lösung

(h, k) = (0, \frac{1}{2}), a = \frac{1}{2}, b = \frac{1}{2}

Schritte zur Lösung

x^{2} + y^{2} \leq y

Rewrite

x^{2} + y^{2} \leq y

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, \frac{1}{2}), a = \frac{1}{2}, b = \frac{1}{2}

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, \frac{1}{2}), b = \frac{1}{2}, a = \frac{1}{2}

Graph

Beliebte Beispiele

25x^2+9y^2-150x-18y+9=0

25 x^{2} + 9 y^{2} - 150 x - 18 y + 9 = 0

25y^2+4x^2-250y-16x+541=0

25 y^{2} + 4 x^{2} - 250 y - 16 x + 541 = 0

2x^2-8x+y^2-10y=60

2 x^{2} - 8 x + y^{2} - 10 y = 60

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

2x^2+2y^2+20y=0

2 x^{2} + 2 y^{2} + 20 y = 0