Question: The circle x + y + 2x + 4y 35 = 0 has centre C and passes through points P and Q. a) Find

The circle x² + y² + 2x + 4y − 35 = 0 has centre C and passes through points P and Q.

a) Find the coordinates of C. M(3, 2) is the mid-point of PQ.

b) Find the equation of the line PQ. Give your answer in the form ax + by + c = 0.

c) Find the coordinates of P and Q.

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