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

15 HKDSE-MATH-CP (Set 2 P2) © United Prime Educational Publishing (HK) Ltd. Go on to the next page 40. The straight line x py 9 0 + + = and the circle x y x y q 12 135 0 2 2 + + + - = intersect at the points A and B , where p and q are constants. If the coordinates of the mid-point of AB are (0, 3), find q . A. - 6 B. - 3 C. 3 D. 6 41. It is given that k is a positive integer. The straight line 4 x + 3 y = k cuts the x -axis and the y -axis at the points A and B respectively. Let , C k 8 0 - J L KK N P OO be a point such that the y -coordinate of the circumcentre of 3 ABC is 23. Find the x -coordinate of the circumcentre of 3 ABC . A. 12 B. 24 C. 48 D. 192 42. If the first three digits and the last five digits of an eight-digit number are formed by a permutation of 4, 6, 9 and a permutation of 1, 2, 3, 5, 8 respectively, how many different eight-digit even numbers can be formed? A. 15 B. 288 C. 720 D. 10 080 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.