Consider the circle C, and the line, L, described by the equations, x 2 + 6x +y 2 - 4y - 3 = 0, & y + x - 3?

(a) Find the centre and the radius of C. Find the points where L intersects C, if any.


(b) If the intersection points of L and C where a vertices of the largest square inside C,


Find the other vertices of the square.


(c) Find the equation of the line passes through the centre of C and perpendicular to


the line L, Find the distance between the centre of C and the line L.

Consider the circle C, and the line, L, described by the equations, x 2 + 6x +y 2 - 4y - 3 = 0, %26amp; y + x - 3?
x^2+6x+9-9+y^2-4y+4-4-3=0


(x+3)^2+(y-2)^2=16


centre (-3,2)


radius 4





can't do the rest as the other line is not correctly written