Question

find the center of circle x2+y2+8x-10y+8=0​

Answer 1

Answer:

Given Equation can be Converted to Standard Equation of Circle as follows

(x

2

+8x+16)+(y

2

+10y+25)=8+25+16

⇒(x+4)

2

+(y+5)

2

=7

2

..........(1)

and Standard equation of Circle is : (x+f)

2

+(y+g)

2

=r

2

.........(2)

where, r = radius of Circle

(−f,−g) is the center

Comparing (1) and (2)

center:(−4,−5)

radius:7