Find the equation to the circle passing through the origin and the points `(a, b)` and `(b, a).` Find the lengths of the chords that it cute off from the axes

Find the equation of a circle which passes through the origin and whose centre is (a, b).

Find the equation of a circle which passes through the origin and whose centre is (a, b).

Find the equation of the circle , which passes through the origin and cuts off intercepts a and b from the axes.

Consider a circle of passing through the origin and the points (a,b) and (-b,-a) What is the sum of the squares of the intercepts cut off by the circle on the axes ?

Consider a circle passing through the origin and the points (a,b) and (-b,-a). On which line does the centre of the circle lie? What is the sum of the squares of the intercepts cut-off by the circle on the axes?

Find the equation of the circle, which passes through the origin and cuts off intercepts ‘a’ and ‘b’ from the axes.

Consider a circle of passing through the origin and the points (a,b) and (-b,-a) What is the sum of the squares of the intercepts cut off by the circles on the axes ?

The equation of the circle passing through the origin and cutting intercepts of length 3 and 4 units from the positive axes, is

Find the equation of the circle passing through the origin and cutting intercepts of lengths 3 units and 4 units from the positive axes.