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.

Find:

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?

Click here for the Notes for Teachers.

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