Question

question 5 of 20
which conic section does the equation below describe?
2x² + 2y² - 6x + 4y + 1 = 0
a. circle
b. ellipse
c. hyperbola
d. parabola

Explanation:

The general second - degree equation is $Ax^{2}+Bxy + Cy^{2}+Dx + Ey+F = 0$. For a conic section, if $B = 0$ and $A = C
eq0$, the conic is a circle. In the given equation $2x^{2}+2y^{2}-6x + 4y + 1 = 0$, $B = 0$ and $A = 2$, $C = 2$ (where $A = C$).

Answer:

A. Circle