12b Coordinate Geometry (Circle) (1) - Mathematics(HKCEE M.C 16b Coordinate Geometry(Circles(1997Q45 Equation of Circle The equation of a circle is

12b Coordinate Geometry (Circle) (1) - Mathematics(HKCEE...

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Mathematics Mathematics (HKCEE (HKCEE M.C.) M.C.) 16b Coordinate Geometry (Circles) 16b Coordinate Geometry (Circles) (1997Q45) Equation of Circle The equation of a circle is given by 0 3 6 4 2 2 y x y x . Which of the following statements is/are true? I. The centre of the circle is ( 2, 3). II. The radius of the circle is 4. III. The origin is inside the circle. A. I only B. I and II only C. I and III only D. II and III only E. I, II and III (1997Q46) Equation of Circle A circle has ( a , 0) and (0, b ) as the end points of a diameter. Which of the following points lie(s) on this circle? I. ( a , b ) II. (0, 0) III. ( a , b ) A. II only B. III only C. I and II only D. II and III only E. I, II and III (1998Q52) Equation of Circle The circle x 2 + y 2 2 x 7 y 8 = 0 intersects the x -axis at A and B . Find the length of AB . A. 2 B. 6 C. 7 D. 9 E. 85 Mathematics / HKCEE M.C. / 16 Coordinate Geometry (Circles) / P.1
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(1998Q53) Equation of Circle The equations of two circles are x 2 + y 2 + ax by = 0 and x 2 + y 2 ax + by = 0. Which of the following must be true? I. The two circles have the same centre. II. The two circles have equal radii. III. The line joining the centres of the two circles passes through the origin. A. I only B. II only C. III only D. I and II only E. II and III only (1999Q51) Equation of Circle In the figure, find the equation of the circle with AB as a diameter. A. x 2 + y 2 2 x + 2 y 23 = 0 B. x 2 + y 2 2 x + 2 y 3 = 0 C. x 2 + y 2 + 2 x 2 y 23 = 0 D. x 2 + y 2 + 2 x 2 y 3 = 0 E. x 2 + y 2 – 25 = 0 Mathematics / HKCEE M.C. / 16 Coordinate Geometry (Circles) / P.2 B (4, 5) A ( 2, 3) O x y
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(1999Q52) Equation of Circle The figure shows a circle centred at C and passing through O (0, 0), A (6, 0) and B (0, 8). Which of the following must be true?
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  • Spring '17
  • Geometry, Euclidean geometry, HKCEE

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