Question

Equation of a diameter of a circle through the origin is r + y = 1 and the greatest distance of any
point of the circle from the diameter is vs. Then an equation of circle is
a) + y2 - 2x + 4y = 0
b) + - 4x + 2y = 0
c) + 12 + 4x - 2y = 0​

Answer 1

Answer:

Given diameter of circle is x+y=1

Diameter crosses the x-axis at (1,0) and y-axis at (0,1)

Distance between these two points i.e. d=

2

⇒r=

2

2

Center of the circle is (

2

1

,

2

1

)

Equation of circle is

(x−

2

1

)

2

+(y−

2

1

)

2

=

2

1

x

2

+y

2

−x−y=0