Does 2x2 + 2y2 +3y + 10 = 0 represent the equation of a circle Justify - Maths - Conic Sections

Question

Does 2x2 + 2y2 +3y + 10 = 0
represent the equation of a circle? Justify

Bhogunuva Jegadesh · Answer

Yes
This equation can also be written as
(Dividing the equation by 2)
x2 + y2 + 3/2 y + 5
=0
with center ( 0 , -3/4 )

Does 2x2 + 2y2 +3y + 10 = 0 represent the equation of a circle? Justify.