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 is (2x - 1, 3x + 1). Find x if the circle passes through (-3, 1) and the length of diameter is 20 unit.

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 sqrt2 units. Find the equation(s) of the circle(s) in the new position.

Find the equation of the circle with centre (2,3) and passing through the point (2,-1).

Find the centre and radius of the circle which passes through lie points (7,5), (6, - 2), (-1 , -1 )

The radius of the circle x^(2) + y^(2) -2x + 3y+k = 0 is 2 1/2 Find the value of k. Find also the equation of the diameter of the circle, which passes through the point (5,2 (1)/(2))

A tangent is drawn to the circle 2(x^(2)+y^(2))-3x+4y=0 and it touches the circle at point A. If the tangent passes through the point P(2, 1),then PA=

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

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 equations of these circles.