Page 07 MARKS 10. (a) Show that the points A(−7, −2), B(2, 1) and C(17, 6) are collinear. Three circles with centres A, B and C are drawn inside a circle with centre D as shown. A B C D The circles with centres A, B and C have radii rA, rB and rC respectively. • A 10 r = • B A 2 r r = • C A B r r r = + (b) Determine the equation of the circle with centre D. 11. (a) Show that sin sin cos sin cos 2 3 2 2 x x x x x − = , where 0 2 x π < < . (b) Hence, differentiate sin sin cos cos 2 2 2 x x x x − , where 0 2 x π < < . [END OF QUESTION PAPER] 3 4 3 3 Page 08 [BLANK PAGE] DO NOT WRITE ON THIS PAGE Write your answers clearly in the spaces provided in this booklet. The size of the space provided for an answer should not be taken as an indication of how much to write. It is not necessary to use all the space. Additional space for answers is provided at the end of this booklet. If you use this space you must clearly identify the question number you are attempting. Use blue or black ink. Before leaving the examination room you must give this booklet to the Invigilator; if you do not you may lose all the marks for this paper. FOR OFFICIAL USE X747/76/02 Mathematics Paper 2 Answer Booklet Fill in these boxes and read what is printed below. Full name of centre Town Forename(s) Surname Number of seat Day Month Year Scottish candidate number © Mark Date of birth H National Qualications 2017 FRIDAY, 5 MAY 10:30 AM – 12:00 NOON A/PB Page 02 DO NOT WRITE IN THIS MARGIN QUESTION NUMBER 1.(a) 1.(b) 1.(c) Page 03 DO NOT WRITE IN THIS MARGIN QUESTION NUMBER 2.(a) 2.(b) Page 04 3. DO NOT WRITE IN THIS MARGIN QUESTION NUMBER Page 05 DO NOT WRITE IN THIS MARGIN QUESTION NUMBER 4.(a) 4.(b) 4.(c) Page 06 DO NOT WRITE IN THIS MARGIN QUESTION NUMBER 5.(a) 5.(b) Page 07 DO NOT WRITE IN THIS MARGIN QUESTION NUMBER 5.(c) Page 08 DO NOT WRITE IN THIS MARGIN QUESTION NUMBER 6. Page 09 DO NOT WRITE IN THIS MARGIN QUESTION NUMBER 7.(a) 7.(b) Page 10 DO NOT WRITE IN THIS MARGIN QUESTION NUMBER 8.(a) 8.(b) Page 11 DO NOT WRITE IN THIS MARGIN QUESTION NUMBER 9. Page 12 DO NOT WRITE IN THIS MARGIN QUESTION NUMBER 10.(a) 10.(b) Page 13 DO NOT WRITE IN THIS MARGIN QUESTION NUMBER 11.(a) 11.(b) Page 14 DO NOT WRITE IN THIS MARGIN ENTER NUMBER OF QUESTION ADDITIONAL SPACE FOR ANSWERS Page 15 DO NOT WRITE IN THIS MARGIN ENTER NUMBER OF QUESTION ADDITIONAL SPACE FOR ANSWERS Page 16 For Marker’s Use Question No Marks/Grades