In each of the following Exercises 1 to 4, find the equation of the circle with
1. centre (0,2) and radius 2 ... | |

find the equation of the circle with . centre (–a, –b) and radius root (a2 - b2)
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9.find the centre and radius of the circles 2x 2 + 2y – x = 0 2 | |

10. Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x + y = 16.
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12. Find the equation of the circle with radius 5 whose centre lies on x-axis and
passes through the point (2,3).
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13. Find the equation of the circle passing through (0,0) and making intercepts a and b on the coordinate axes.
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14. Find the equation of a circle with centre (2,2) and passes through the point (4,5).
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15. Does the point (–2.5, 3.5) lie inside, outside or on the circle x2 + y2 = 25? | |