Question

The equation of circle with its centre at the origin is $x^2+y^2=r^2$

• A. True
• B. False
• C. Neither
• D. Either

Answer 1

The correct option is A True

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.