Question: A circle with centre Chas equation x + y + 8x + 4y 5 = 0. a) Find the coordinates of C and the

A circle with centre Chas equation x² + y² + 8x + 4y − 5 = 0.

a) Find the coordinates of C and the radius of the circle.

b) A(0, −5) and B(0,1) lie on the circle. Find the equation of the line perpendicular to AB which goes through B.

c) Show that this line goes through the
other end of the diameter through A.

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