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Popular >

x^2+9y^2<9

Solution

x^{2} + 9 y^{2} < 9

Solution

(h, k) = (0, 0), a = 3, b = 1

Solution steps

x^{2} + 9 y^{2} < 9

Rewrite

x^{2} + 9 y^{2} < 9

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 3, b = 1

Popular Examples

x^2+4y^2+3x+2y-56=0

x^{2} + 4 y^{2} + 3 x + 2 y - 56 = 0

3X^2+4Y^2+12X-8Y+9=0

3 X^{2} + 4 Y^{2} + 12 X - 8 Y + 9 = 0

((x+2)^2)/4+((y-3)^2)/(16)=1

\frac{( x + 2 ) ^{2}}{4} + \frac{( y - 3 ) ^{2}}{16} = 1

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

25x^2+4y^2-200x+24y+376=0

25 x^{2} + 4 y^{2} - 200 x + 24 y + 376 = 0

Frequently Asked Questions (FAQ)

What is x^2+9y^2<9 ?
The solution to x^2+9y^2<9 is Ellipse with (h,k)=(0,0),a=3,b=1