Prime DSE Series - Mathematics Mock Exam Papers (Compulsory)(Sixth Edition) Set 2 Paper 1&2

12 HKDSE-MATH-CP (Set 2 P1) Answers written in the margins will not be marked. Answers written in the margins will not be marked. Answers written in the margins will not be marked. © United Prime Educational Publishing (HK) Ltd. 13. The equation of the circle C is x y x y 16 40 295 0 2 2 + - - + = . Denote the centre of C by G . The coordinates of the point H are ( - 2, 44). C is the straight line which is perpendicular to HG and passing through G . C cuts the x -axis at the point K . (a) Find the distance between H and G . (3 marks) (b) Find the equation of C . (2 marks) (c) Let P be a moving point on C . When P is farthest from H , (i) describe the geometric relationship between H , G and P , (ii) find the area of PHK 3 . (3 marks) Sample © United Prime Educational Publishing (HK) Limited 2025 All rights reserved; no part of this publication may be reproduced, photocopied, recorded or otherwise, without the prior written permission of the Publisher.