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

The solution to (x^2)/(16)+((y-1)^2)/(36)=1 is Ellipse with (h,k)=(0,1),a=4,b=6

Popular >

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

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

(h, k) = (0, 1), a = 4, b = 6

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{4 ^{2}} + \frac{( y - 1 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 1), a = 4, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 1), b = 6, a = 4

\frac{2 x - x ^{2} - y ^{2}}{x ^{2} + y ^{2} - x} \leq 0

x^{2} + 2 - 6 x = - 5 z^{2} + 2

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

x, x^{2} + 5 Y (x)^{2} + 2 x - 30 Y + 36 = 0

\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{49} = 1

What is (x^2)/(16)+((y-1)^2)/(36)=1 ?
The solution to (x^2)/(16)+((y-1)^2)/(36)=1 is Ellipse with (h,k)=(0,1),a=4,b=6