04.06.2014 Views

CO-ORDINATE GEOMETRY

CO-ORDINATE GEOMETRY

CO-ORDINATE GEOMETRY

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

) Check that the product of the appropriate gradients = 1.<br />

c) 225 units 2 .<br />

19. a) A(2, 0), B(2, 0) or visaversa. C(0, 2).<br />

21. a) y = x b) 3y = x 9 c) y = 4 3x<br />

d) y = 3x 23 e) 3y = 2x 23 f) 3x + 2y = 21<br />

22. a) 2y = x + 2. b) y = 3x 16 c) 3y + x = 9<br />

d) y = x + 1 e) y = 6x 26 f) 2y 3x + 18 = 0.<br />

23. a) y = 2 2<br />

3 x + 3 c) 3y 2x = 3×6 2×8 = 2 and thus (8, 6) lies on<br />

the line.<br />

24. a) y = 2x 2 b) No. Why?<br />

1<br />

25. a) 2 b) y = 1 5<br />

2 x + 2<br />

d) P = (5, 0), Q = ( 0, 5 2)<br />

.<br />

26. a) 2 3 . b) y = 2 11<br />

3 3<br />

0, 11 3 .<br />

3<br />

27. a) (2, 25). b) 10 . c) 6y = 55 20x d) (275, 0).<br />

28. (35, 15). 7. 7y x + 2 = 0.<br />

1<br />

29. (15, 15). 3 . y + 3x + 3 = 0.<br />

30. i) x + 3y 3 = 0. ii) check coordinates of Q satisfy equation of l 1 .<br />

iii) check product of gradients etc. iv) 90 units.<br />

31. i) x + 6y + 383 = 0. ii) check coordinates of Q satisfy equation of l 1 .<br />

iii) check product of gradients etc. iv) 4477 units.<br />

32. 2y = x 8. (2, 3). 80 units.<br />

33. a) AC: 7y = 11x + 13, BD: y + 5x + 9 = 0. b) P = (1 15<br />

23 , 17<br />

23 ).<br />

c) check midpoints of each diagonal.<br />

34. a) 2y + x = 11. b) (06, 52). c) 49193496 units.<br />

35. (8, 2).<br />

36. B = (6, 8), C = (1, 7).<br />

x + . d) P = (55, 0), Q = ( )<br />

www.mathsguru.co.uk

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!