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Popular >

3x^2+4y^2=1

Solution

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

Solution

(h, k) = (0, 0), a = \frac{1}{3}, b = \frac{1}{2}

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{1}{3} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{1}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{3}, 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}{3}, b = \frac{1}{2}

Popular Examples

((x-3)^2)/(16)+((y-1)^2)/(25)=1

\frac{( x - 3 ) ^{2}}{16} + \frac{( y - 1 ) ^{2}}{25} = 1

x^2+4y^2-4x-12=0

x^{2} + 4 y^{2} - 4 x - 12 = 0

x^{2} + \frac{y ^{2}}{5} = 1

((x+1)^2)/3+((y-1)^2)/6 =4

\frac{( x + 1 ) ^{2}}{3} + \frac{( y - 1 ) ^{2}}{6} = 4

((x-4)^2)/9+((y+2)^2)/(25)=1

\frac{( x - 4 ) ^{2}}{9} + \frac{( y + 2 ) ^{2}}{25} = 1

Frequently Asked Questions (FAQ)

What is 3x^2+4y^2=1 ?
The solution to 3x^2+4y^2=1 is Ellipse with (h,k)=(0,0),a=sqrt(1/3),b= 1/2