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Popular >

2x^2+4y^2=1

Solution

2 x^{2} + 4 y^{2} = 1

Solution

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

Solution steps

2 x^{2} + 4 y^{2} = 1

Rewrite

2 x^{2} + 4 y^{2} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Popular Examples

((x+1)^2}{25}+\frac{(y+2)^2)/9 =1

\frac{( x + 1 ) ^{2}}{25} + \frac{( y + 2 ) ^{2}}{9} = 1

4x^2+9y^2-16x-54y+61=0

4 x^{2} + 9 y^{2} - 16 x - 54 y + 61 = 0

9x^2+25y^2-100y-125=0

9 x^{2} + 25 y^{2} - 100 y - 125 = 0

x^2+4y^2+10x+10y-8=0

x^{2} + 4 y^{2} + 10 x + 10 y - 8 = 0

16x^2+25y^2-96x+50y-231=0

16 x^{2} + 25 y^{2} - 96 x + 50 y - 231 = 0

Frequently Asked Questions (FAQ)

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