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**Question**

28) *A, B *and *C *are points on the circle *x*^{2} + *y*^{2} = 36 as shown.

* A *is on the *y*-axis.

* B *is on the *x*-axis.

* M *is the midpoint of *AB*.

* C**O**M *is a straight line.

a) Show that the coordinates of

*A*are (0, 6)**[1 mark]**

b) Work out the coordinates of

*B*.

**[1 mark]**

c) Show that the equation of the straight line passing through

*C*,

*O*and

*M*is

*y*=

*x*

**[2 marks]**

d) Work out the coordinates of

*C*.

Give your answers in surd form.

**[3 marks]**