Question 1:centre (0,2) and radius 2
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Question 2:centre (–2,3) and radius 4
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Question 3:centre ( 4 1 , 2 1 ) and radius 12 1
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Question 4:centre (1,1) and radius 2
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Question 5:centre (–a, –b) and radius 22 ba − . In each of the following Exercises 6 to 9, find the centre and radius of the circles.
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Question 6:(x + 5)2 + (y – 3)2 = 36
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Question 7:x2 + y2 – 4x – 8y – 45 = 0
Question 8:x2 + y2 – 8x + 10y – 12 = 0
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Question 9:2x2 + 2y2 – x = 0
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Question 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.
EXERCISE 11.1In each of the following Exercises 1
Question 11:Find the equation of the circle passing through the points (2,3) and (–1,1) and whose centre is on the line x – 3y – 11 = 0.
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Question 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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Question 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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Question 14:Find the equation of a circle with centre (2,2) and passes through the point (4,5).
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Question 15:Does the point (–2.5, 3.5) lie inside, outside or on the circle x2 + y2 = 25?
