QUESTION 4 In the diagram, the circle with centre M and equation x + y + 4x - 4y-12-0 is
drawn. C is the t-intercept of the circle. The tangent AB touches the circle at A(-6:4)
and cuts the x-asis at B
A(-6:4
M
B
4.1
Calculate the
4.1.1
coordinates of M.
4.1.2 coordinates of C.
4.2 Determine, giving reasons, the equation of the tangent AB in the form y = mx + c
if it is given that the gradient of MC is --
4.3
Calculate the area of AABC.
(5
4.4
Determine for which values of k the line y = 2x +k will intersect the circle attivo
points.
E
(coordinates of M​