Download Paper 2 - Subjective

PENANG FREE SCHOOL
MATHEMATICS ELECTIVES- ADDITIONAL MATHEMATICS
DAVID CHNG YEANG SOON.
Try the following Questions. The answers are provided at the end of the questions.
Topic 4 Moderate.
Name: ………………………………………..
Class:…………………..
The line y = x + 1 meets the curve -5x + 9 = y2 at point A and point B.
Find the distance of AB.
[5 marks]
The line y = x - 2 meets the curve -6x + 12 = y2 at point A and point B.
Find the distance of AB.
[5 marks]
Find the coordinates of the points of intersection of the line y = 6x + 10 and
the curve x2 + 14x = y - 17.
[5 marks]
Find the coordinates of the points of intersection of the line y = 5x + 3 and
the curve x2 - 5x = y - 27.
[5 marks]
Find the coordinates of the points of intersection of the line y = 8x - 1 and
the curve x2 + 3x = y + 25.
[5 marks]
The line y = x - 5 meets the curve -22x + 5 = y2 at point A and point B.
Find the distance of AB.
[5 marks]
The sum of two positive number is 21 and the sum of their squares is 221.
Find the two numbers.
[5 marks]
The sum of two positive number is 10 and the sum of their squares is 58.
Find the two numbers.
[5 marks]
The sum of two positive number is 12 and the sum of their squares is 104.
Find the two numbers.
[5 marks]
10. The sum of two positive number is 16 and the sum of their squares is 130.
Find the two numbers.
[5 marks]
11. The line y = x + 8 meets the curve 13x + 82 = y2 at point A and point B.
Find the distance of AB.
[5 marks]
12. The sum of two positive number is 11 and the sum of their squares is 65.
Find the two numbers.
[5 marks]
1.
2.
3.
4.
5.
6.
7.
8.
9.
13. Find the coordinates of the points of intersection of the line y = 4x - 11 and
the curve x2 - 8x = y - 16.
[5 marks]
14. The sum of two positive number is 13 and the sum of their squares is 85.
Find the two numbers.
[5 marks]
15. The sum of two positive number is 9 and the sum of their squares is 41.
Find the two numbers.
[5 marks]
16. The line y = x - 2 meets the curve -13x + 26 = y2 at point A and point B.
Find the distance of AB.
[5 marks]
17. Find the coordinates of the points of intersection of the line y = 7x + 7 and
the curve x2 + 15x = y - 23.
[5 marks]
18. Find the coordinates of the points of intersection of the line y = 9x - 7 and
the curve x2 + 6x = y + 61.
[5 marks]
19. Find the coordinates of the points of intersection of the line y = 10x + 1 and
the curve x2 + 2x = y + 19.
[5 marks]
20. The line y = x - 9 meets the curve 4x - 40 = y2 at point A and point B.
Find the distance of AB.
[5 marks]
Answers:
1. 12.728 units
2. 8.485 units
3. x = -7, y = -32;
x = -1, y = 4
4. x = 6, y = 33;
x = 4, y = 23
5. x = 8, y = 63;
x = -3, y = -25
6. 11.314 units
7. 11, 10
8. 7, 3
9. 2, 10
10. 7, 9
11. 12.728 units
12. 4, 7
13. x = 3, y = 1;
x = 9, y = 25
14. 6, 7
15. 5, 4
16. 18.385 units
17. x = -4, y = -21;
x = -4, y = -21
18. x = 9, y = 74;
x = -6, y = -61
19. x = -2, y = -19;
x = 10, y = 101
20. 0.000 units