The line LP with equation y + x – 2 = 0 is a tangent at L to the circle with centre M(-4 , 4).
LN is a diameter of the circle.
LP is parallel to NQ where P is on the x-axis and Q is on the y-axis.
a) the equation of the line LN;
b) the coordinates of L;
c) the equation of the circle;
d) the coordinates of N;
e) the equation of NQ.
f) The length of the diameter is doubled and the circle is translated 6 units to the right. Find the equation of the new circle?