Chapter 10
centre (0,2) and radius 2 2. centre (-2,3) and radius 4
centre ( 1,2 1 ) and radius 1 4. centre (1,1) and radius 2
centre (-a, -b) and radius 2 2b a− . In each of the following Exercises 6 to 9, find the centre and radius of the circles.
(x + 5)2 + (y - 3)2 = 36 7. x2 + y2 - 4x - 8y - 45 = 0
x2 + y2 - 8x + 10y - 12 = 0 9. 2x2 + 2y2 - x = 0
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.
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.
Find the equation of the circle with radius 5 whose centre lies on x-axis and passes through the point (2,3).
Find the equation of the circle passing through (0,0) and making intercepts a and b on the coordinate axes.
Find the equation of a circle with centre (2,2) and passes through the point (4,5).
Does the point (-2.5, 3.5) lie inside, outside or on the circle x2 + y2 = 25? Fig 10. 13