The centre of a circle is `(2x-1, 3x++1)` and radius is 10 units. Find the value of `x` if the circle passes through the point `(-3, -1)`.

If the centre of a circle is (2a,a-7) ,then Find the value of a , if the circle passes through the point (11,-9) and has diameter 10sqrt(2) units .

The centre of a circle (1,1) and its radius is 5 units.If the centre is shifted along the line y-x=0 through a dis-tance sqrt(2) units.Find the equation(s) of the circle(s) in the new position.

A circle has radius 3 units and its centre lies on the line y=x-1. Find the equation of the circle,if it passes through (7,3) .

A circle has radius 3 units and its centre lies on the line y=x-1. Find the equation of the circle if it passes through (7,3).

Find the equation of the circle which passes through the points (3,-2),(-1,6) and whose radius is 10.

(i) A circle whoe centre is the point of intersection of the line 2x - 3y + 4 - 0 and 3x + 4y - 5 = 0 passes through the origin. Find its equation. (ii) Find the equation of the circle passing through the point (1,-1) and centre at the intersection of the lines (x -y) = 4 and 2x + 3y = -7.

Find the equation of a circle of radius 5 whose centre lies on x-axis and passes through the point (2,3)

The equation of radical axis of two circles is x+y=1. One of the circles has the ends ofa diameter at the points (1,-3) and (4,1) and the other passes through the point (1, 2).Find the equating of these circles.