C is the centre of the circle with centre `(0,1)` and radius unity. `y=ax^2` is a parabola. The set of the values of `'a'` for which they meet at a point other than the origin, is

Find the equation of the circle with centre (0,2) and radius 2

Find the equation of the circle with centre at (-1,0) and radius 2.

Find the equation of the circle with centre (1,1) and radius sqrt(2)

If (1,-3) is the centre of the circle x^(2) + y^(2) +ax + by + 9 =0 its radius is

Let C be the circle with centre at (1,1) and radius =1 . If T is the circle centered at (0,y) passing through the origin and touching the circle C externally. Then the radius of T is equal to

Equation of the straight line meeting the cirle with centre at origin and radius equal to 5 in two points at equal distances of 3 units from the point (3,4) is

The radius of a circle with centre at origin is 30 units. Write the coordinates of the points where the circle intersects the axes. Find the distance between any two such points.