NJC_JC2_H2_Maths_2012_Question_Paper_2

NJC 2012 9740/02/2012 MATHEMATICS 9740/02 Paper 2 17 September 2012 3 hours Additional Materials: Answer Paper List of Formulae (MF15) Cover Sheet 1400 – 1700 hours READ THESE INSTRUCTIONS FIRST Write your name, registration number, subject tutorial group, on all the work you hand in. Write in dark blue or black pen on both sides of the paper. You may use a soft pencil for diagrams or graphs. Do not use paper clips, highlighters, glue or correction fluid. Answer all the questions. Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question. You are expected to use a graphic calculator. Unsupported answers from a graphic calculator are allowed unless a question specifically states otherwise. Where unsupported answers from a graphic calculator are not allowed in a question, you are required to present the mathematical steps using mathematical notations and not calculator commands. You are reminded of the need for clear presentation in your answers. At the end of the examination, fasten all your work securely together. The number of marks is given in the brackets [ ] at the end of each question or part question. This document consists of 8 printed pages and 0 blank page. National Junior College NATIONAL JUNIOR COLLEGE PRELIMINARY EXAMINATIONS Higher 2

2 NJC 2012 9740/02/2012 [Turn Over Section A: Pure Mathematics [40 marks] 1(a) Given that iez  ,where 0 and 0 2  , and i3wz , find (i) zw , in terms of  , [2] (ii)  arg zw , in terms of  . [2] (b) The complex number z