THE EQUATION x2+y2+4x+6y+13=0 represents a) a pair of coincident lines b) a pair of concurrent lines c) a parabola d)a - Maths - Conic Sections

Question

THE EQUATION x2+y2+4x+6y+13=0 represents a) a
pair of coincident lines b) a pair of concurrent lines c) a
parabola d)a point circle

Priyanka Kedia · Accepted Answer

Dear Student,
Please find below the solution to the asked query:

x2+y2+4x+6y+13=0⇒x2+4x+y2+6y+13=0⇒x2+2×2x+22-22+y2+2×3y+32-32+13=0⇒x2+2×2x+22+y2+2×3y+32-22-32+13=0⇒x+22+y+32=0⇒x+2=0, y+3=0⇒x=-2 ,y=-3Thus, the given equation represent a point circle

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THE EQUATION x2+y2+4x+6y+13=0 represents a) a pair of coincident lines b) a pair of concurrent lines c) a parabola d)a point circle

THE EQUATION x²+y²+4x+6y+13=0 represents a) a pair of coincident lines b) a pair of concurrent lines c) a parabola d)a point circle