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 diameter of the circle which passes through the point `(5,2 1/2)`.

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))

Find the equation of the diameter of the circle x ^2 + y ^2 - 14x + 6y + 9 = 0 which passes through the point (2, 1).

Find the equation of the diameter of the circle x^(2) + y^(2) - 4x + 6y + 9 = 0 which passes through the point (1, -2).

find the equation of the tangents to the circle x^(2)+y^(2)-2x-4y-20=0 which pass through the point (8,1)

If the radius of the circle x^2+y^2+4x-2y-k=0 is 4 units find k.

3x+y=5 and x+y-1=0 are the equations of two diamters to the circle,which passes through the point (-2,2).Find the equation of the circle.

The extremities of a diameter of a circle are the points (4, -2) and (1, -3), find the equation of the circle. Also find the equation of that diameter of this circle which passes through the origin.

Equation of the diameter of the circle x^(2) +y^(2) - 2x + 4y = 0 which passes through the origin is