Question

Compute the centre and radius of the circle 2x2 + 2y2 – x = 0​

Answer 1

Answer:

Given the equation of the circle is

2x

2

+2y

2

−x=0

or, x

2

+y

2

−

2

x

=0

or, x

2

−2.x.

4

1

+

4

2

1

+y

2

=

4

2

1

or, (x−

4

1

)

2

+y

2

=

4

2

1

.

From this equation we've the center is (

4

1

,0) and radius is

4

1

.