de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

4(x-1)^2+25(y-3)^2=1

Lösung

4 (x - 1)^{2} + 25 (y - 3)^{2} = 1

Lösung

(h, k) = (1, 3), a = \frac{1}{2}, b = \frac{1}{5}

Schritte zur Lösung

4 (x - 1)^{2} + 25 (y - 3)^{2} = 1

Rewrite

4 (x - 1)^{2} + 25 (y - 3)^{2} = 1

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{( \frac{1}{2} ) ^{2}} + \frac{( y - 3 ) ^{2}}{( \frac{1}{5} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, 3), a = \frac{1}{2}, b = \frac{1}{5}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, 3), a = \frac{1}{2}, b = \frac{1}{5}

Graph

Beliebte Beispiele

(4/(sqrt(9-x^2-y^2)))^2=16

(x^2}{16}+\frac{(y-2)^2)/9 =1

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

11x^2+13y^2-143=0

x^2+3y^2-12y+9=0