Question

Equation of a circle having radius r and center at
origin is x + y2 = What will be the area of circle
having equation r2 + y2 - 2x - 4y -4 = 02 (Hint:Shift
the origin to a suitable point to eliminate linear terms
in the given equation)
(a) 971
(6) 37
(C)
(d) none​

Answer 1

Step-by-step explanation:

The center is a fixed point in the middle of the circle; usually given the general coordinates (h, k).

The fixed distance from the center to any point on the circle is called the radius.

A circle can be represented by two different forms of equations, the general form and the center-radius form. This discussion will focus on the center-radius form.

centre radius form

let (h,k) be the centre of a cicle and r be the radius

(x−h)

2

+(y−k)

2

=r

2

and we talk about centre at origin

than (h,k) will become (0,0)

so, equation will become x

2

+y

2

=r

2

therefore option A will be answer.