en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

foci ((x-h)^2)/(a^2)+((y-k)^2)/(b^2)=1

Solution

foci

\frac{( x - h ) ^{2}}{a ^{2}} + \frac{( y - k ) ^{2}}{b ^{2}} = 1

Solution

(h + a^{2} - b^{2}, k), (h - a^{2} - b^{2}, k)

Solution steps

(h + c, k), (h - c, k)

Calculate ellipse properties

\frac{( x - h ) ^{2}}{a ^{2}} + \frac{( y - k ) ^{2}}{b ^{2}} = 1 :

Ellipse with center

(h, k) = (h, k), a = a, b = b

(h + c, k), (h - c, k)

Compute

c :

c = a^{2} - b^{2}

(h + a^{2} - b^{2}, k), (h - a^{2} - b^{2}, k)

Popular Examples

foci ((x-3)^2)/(49)+((y+5)^2)/(25)=1 foci

\frac{( x - 3 ) ^{2}}{49} + \frac{( y + 5 ) ^{2}}{25} = 1

foci (x^2)/8+(y^2)/4 =1 foci

\frac{x ^{2}}{8} + \frac{y ^{2}}{4} = 1

foci 9x^2+16y^2=576 foci

9 x^{2} + 16 y^{2} = 576

foci 3x^2+y^2+2x-6y=3 foci

3 x^{2} + y^{2} + 2 x - 6 y = 3

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

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

Frequently Asked Questions (FAQ)

What is the foci ((x-h)^2)/(a^2)+((y-k)^2)/(b^2)=1 ?
The foci ((x-h)^2)/(a^2)+((y-k)^2)/(b^2)=1 is (h+sqrt(a^2-b^2),k),(h-sqrt(a^2-b^2),k)