Question

Find certre and radius of circle: x²+y²_4x+6y+3=0

Answer 1

Answer:

Equation of the circle is given as x

2

+y

2

+4x+6y+3=0

x

2

+4x+4+y

2

+6y+9=−3+9+4

(x

2

+2)

2

(y+3)

2

=10

∴ Centre of the circle is (−2,−3)

Circle with centre (−2,3) and radius 2

(x+2)

2

+(y+3)

2

=(2)

2

x

2

+4x+4+y

2

+6x+9=4

x

2

+y

2

+4x+6x+9=0.