Straight Line Past Papers Unit 1 Outcome 1
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1 PSf Straight Line Past Papers Unit 1 utcome 1 Multiple Choice Questions Each correct answer in this section is worth two marks. 1. The line with equation = a + 4 is perpendicular to the line with equation = 0. What is the value of a? A. 3 B. 1 3 C. 1 3 D. 3 Ke utcome Grade Facilit Disc. Calculator Content Source C 1.1 C NC G2, G5 HSN 089 PSf [END F MULTIPLE CHICE QUESTINS] hsn.uk.net Page 1 Questions marked c SQA
2 PSf Written Questions 2. Find the equation of the perpendicular bisector of the line joining A(2, 1) and B(8, 3) Find the equation of the straight line which is parallel to the line with equation = 5 and which passes through the point (2, 1). 3 Part Marks Level Calc. Content Answer U1 C1 3 C CN G3, G = P1 Q1 1 ss: epress in standard form 2 ic: interpret gradient 3 ic: state equation of straight line 1 = stated or implied b 2 2 m line = 2 3 stated or implied b 3 3 ( 1) = 2 3 ( 2) 4. Find the equation of the line through the point (3, 5) which is parallel to the line with equation = 0. 2 hsn.uk.net Page 2 Questions marked c SQA
3 PSf Find the size of the angle a PSf that the line joining the points A(0, 1) and B(3 3, 2) B(3 3, 2) makes with the positive direction of the -ais. a 3 A(0, 1) Part Marks Level Calc. Content Answer U1 C1 3 C NC G P1 Q3 1 ss: know how to find gradient or equ. 2 pd: process 3 ic: interpret eact value 1 2 ( 1) tan a = gradient stated or implied b 3 3 a = 30 hsn.uk.net Page 3 Questions marked c SQA
4 PSf hsn.uk.net Page 4 Questions marked c SQA
5 PSf 9. hsn.uk.net Page 5 Questions marked c SQA
6 PSf 10. hsn.uk.net Page 6 Questions marked c SQA
7 PSf 11. hsn.uk.net Page 7 Questions marked c SQA
8 PSf hsn.uk.net Page 8 Questions marked c SQA
9 PSf 14. hsn.uk.net Page 9 Questions marked c SQA
10 PSf 15. hsn.uk.net Page 10 Questions marked c SQA
11 PSf 16. Triangle ABC has vertices A( 1, 6), B( 3, 2) and C(5, 2). A( 1, 6) Find (a) the equation of the line PSfrag p, the median from C of triangle ABC. C(5, 2) 3 (b) the equation of the line q, the perpendicular bisector of BC. 4 (c) the coordinates of the point of B( 3, 2) intersection of the lines p and q. 1 Part Marks Level Calc. Content Answer U1 C1 (a) 3 C CN G7 = P2 Q1 (b) 4 C CN G7 = (c) 1 C CN G8 (0, 2) 1 ss: determine midpoint coordinates 2 pd: determine gradient thro 2 pts 3 ic: state equation of straight line 4 ss: determine midpoint coordinates 5 pd: determine gradient thro 2 pts 6 ss: determine gradient perp. to 5 7 ic: state equation of straight line 1 F = mid AB = ( 2, 2) 2 m FC = 0 stated or implied b 3 3 equ. FC is = 2 4 M = mid BC = (1, 0) 5 m BC = m = = 2( 1) 8 pd: process intersection 8 (0, 2) hsn.uk.net Page 11 Questions marked c SQA
12 PSf 17. Triangle ABC has vertices A(2, 2), B(12, 2) and C(8, 6). PSf C(8, 6) (a) Write down the equation of l 1, the perpendicular bisector of AB. 1 A(2, 2) B(12, 2) (b) Find the equation of l 2, the perpendicular bisector of AC. 4 (c) Find the point of intersection of lines l 1 and l 2. 1 (d) Hence find the equation of the circle passing through A, B and C. 2 Part Marks Level Calc. Content Answer U2 C4 (a) 1 C CN G3, G7 = P2 Q7 (b) 4 C CN G = 23 (c) 1 C CN G8 (7, 1) (d) 2 A/B CN G8, G9, G10 ( 7) 2 + ( 1) 2 = 26 1 ic: state equation of a vertical line pd: process coord. of a midpoint 3 ss: find gradient of AC 4 ic: state gradient of perpendicular 5 ic: state equation of straight line 2 6 pd: find pt of intersection 7 ss: use standard form of circle equ. 8 ic: find radius and complete 1 = 7 2 midpoint = (5, 4) 3 m AC = m = = 3 2 ( 5) 6 = 7, = 1 7 ( 7) 2 + ( 1) 2 8 ( 7) 2 + ( 1) 2 = 26 or c = 0 8 c = 24 hsn.uk.net Page 12 Questions marked c SQA
13 PSf 18. The vertices of a triangle are P( 1, 1), Q(2, 1) and R( 6, 2). Find the equation of the altitude of triangle PQR, drawn from P Find the equation of the median AD of triangle ABC where the coordinates of A, B and C are ( 2, 3), ( 3, 4) and (5, 2) respectivel. 3 [END F WRITTEN QUESTINS] hsn.uk.net Page 13 Questions marked c SQA
Straight Line. Paper 1 Section A. O xy
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