Ellipse

Ellipse is expressed by equation 9x2 + 25y2 - 54x - 100y - 44 = 0. Find the length of primary and secondary axes, eccentricity, and coordinates of the center of the ellipse.

Correct answer:

o1 =  10
o2 =  6
x0 =  3
y0 =  2
e =  4

Step-by-step explanation:

(xx0a)2+(yy0b)2=1 (9x254x)+(25y2100y)=44 9 (x26x)+25(y24y)=44  x26x+9=(x3)2 y24y+4=(y2)2  9 (x26x+9)+25(y24y+4)=44+9 9+4 25  9 (x3)2+25 (y2)2=225 9225 (x3)2+25225 (y2)2=1  a=2259=5 b=22525=3  o1=2 a=2 5=10
o2=2 b=2 3=6
x0=3
y0=2
e=a2b2=5232=4



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Tips to related online calculators
Line slope calculator is helpful for basic calculations in analytic geometry. The coordinates of two points in the plane calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of the segment, intersections of the coordinate axes, etc.
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

 
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