Is the equation 13x² + 13y² - 26x + 52y = -78 a line, parabola, ellipse, hyperbola, or circle?
2 Answers
Jul 25, 2018
No - it contains no real points.
Explanation:
Given:
13x^2+13y^2-26x+52y=-78
First note that all of the coefficients are divisible by
x^2+y^2-2x+4y=-6
Adding
x^2-2x+1+y^2+4y+4 = -1
That is:
(x-1)^2+(y+2)^2 = -1
Note that this is always false for real values of
Jul 25, 2018
Imaginary circle
Explanation:
The given equation:
Above equation shows a circle with a radius