Question: The circle C has equation x 2 + 3x + y 2 + 6y = 3x 2y 7. a. Find the centre and

The circle C has equation x2 + 3x + y2 + 6y = 3x − 2y − 7.
a. Find the centre and radius of the circle.

b. Find the points of intersection of the circle and the y-axis.

c. Show that the circle does not intersect the x-axis.

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