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Popular >

(x^2)/4+(1-y/2)^2=1

Solution

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

Solution

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

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Popular Examples

((x-12)^2)/(100)+((y+7)^2)/(36)=1

\frac{( x - 12 ) ^{2}}{100} + \frac{( y + 7 ) ^{2}}{36} = 1

12x^2+10y^2=120

12 x^{2} + 10 y^{2} = 120

25x^2+9y^2-50x+54y-119=0

25 x^{2} + 9 y^{2} - 50 x + 54 y - 119 = 0

solvefor x,x^2+7k+3k(x)^2=0 solve for

x, x^{2} + 7 k + 3 k (x)^{2} = 0

16x^2+25y^2+64x+150y-111=0

16 x^{2} + 25 y^{2} + 64 x + 150 y - 111 = 0

Frequently Asked Questions (FAQ)

What is (x^2)/4+(1-y/2)^2=1 ?
The solution to (x^2)/4+(1-y/2)^2=1 is Ellipse with (h,k)=(0,2),a=2,b=2