24 (a) A is the point (a, 12) and B is the point (b, 27). (i) Find the y-coordinate of the midpoint of AB. ................................................. [1] (ii) The line AB has gradient 3. Find an expression for a in terms of b. a = ................................................ [3] (b) D is the point (22, 34) and E is the point (23, 39). D is the point on CE such that 2CE = 5DE. Find the coordinates of C. ( ...................... , ...................... ) [3] Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cambridgeinternational.org after the live examination series. Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge. (cid:300)(cid:205)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:249)(cid:181)(cid:260)(cid:215) © UCLES 2025 (cid:300)(cid:225)(cid:281)(cid:242)(cid:212)(cid:291)(cid:296)(cid:250)(cid:224)(cid:239)(cid:254)(cid:299)(cid:239)(cid:185)(cid:292)(cid:226)(cid:260)(cid:258) 0580/23/M/J/25 (cid:293)(cid:181)(cid:261)(cid:277)(cid:245)(cid:181)(cid:293)(cid:277)(cid:277)(cid:277)(cid:261)(cid:261)(cid:197)(cid:181)(cid:229)(cid:277)(cid:293)(cid:213) M SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD