What is ((x-1)^2)/(16)+((y-2)^2)/(36)=1 ?

The solution to ((x-1)^2)/(16)+((y-2)^2)/(36)=1 is Ellipse with (h,k)=(1,2),a=4,b=6

Popular >

((x-1)^2)/(16)+((y-2)^2)/(36)=1

\frac{( x - 1 ) ^{2}}{16} + \frac{( y - 2 ) ^{2}}{36} = 1

(h, k) = (1, 2), a = 4, b = 6

Solution steps

\frac{( x - 1 ) ^{2}}{16} + \frac{( y - 2 ) ^{2}}{36} = 1

Rewrite

\frac{( x - 1 ) ^{2}}{16} + \frac{( y - 2 ) ^{2}}{36} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, 2), a = 4, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, 2), b = 6, a = 4

16 x^{2} + y^{2} + 64 x + 4 y + 52 = 0

7 x^{2} + 4 y^{2} + 24 y = - 8

\frac{x ^{2}}{95} + \frac{y ^{2}}{30} = 1

20 x^{2} + 25 y^{2} = 400

x^{2} + 4 y^{2} - 8 x + 16 y + 16 = 0

What is ((x-1)^2)/(16)+((y-2)^2)/(36)=1 ?
The solution to ((x-1)^2)/(16)+((y-2)^2)/(36)=1 is Ellipse with (h,k)=(1,2),a=4,b=6