894 ANSWERS 



Page 37. Art. 29. 

 L (1)4, (2) 18J: 3. Yes. 4. Yes. 5. ** 7. i> 



Page 39. Art. 30. 

 . (|, 0) and (I 2). 8. (f, V) and (-1, 1). 7. C'=(8, 0). 



Pages 41. 42. Examples on Chapter II. 

 1. 56). 8. alt. is liiv/'J, base in 4 A/2, Hides are 2\/74, an M 



(f. -*); (8. 21); (-7, -L'l 4. (7, .i). 6. $Vl237. 



6. 14 -Vv^J Vl9+\/89+ \ : Jlx ::. 

 V3 1 -\/3 



9. Slopes are: 1, 



1 _ >/3 1 + %/3 



12. V(A+1)* -I- (*- l) a = V(A-l) : '+C*-2) 1 - 1 , i'.ff. 4A+2fc=3; jfc=0. 

 14. (1, -11), (-11, 5) or (13, -1). 15. (3, - f ) 



16 Msi + *t 4yi + y\ /3y, + 2x^ 8 y t 



Msi + *t t 4yi + y\ /3y, + 

 \ 5 & I \ t 



19. 3 VlO + 3 V3 4- 6 V2 + V:J + 3 V2 - V3. 21. (J>/6, ^V 



Pages 53, 54. Art. 39. 



1. (I, *). 8- (3, 0). _3. (0, 2), (-1, -5). 



4. (2>/^7-, 6A^^) (-2V^T^, -6V=7-). 



-x 



. Twoofthefourpointeare: ^^ + ^). J=VQ-x 



6. (0, -a), (-^, ^. 7. (0, 0), (4, 



5TSP 6TV/ - 



9. (VIT, V6). 10. (-l2v^~2, 2 



11. (p = 6, = C08-1 f ). 



IS. p and of tbe points of intersection satisfy the equations : 

 =9(1 + Vp* - 1) and tf = s 



Page 56. Art. 40. 

 1. The two axes, i.e. the loci of y = and x = 0. 



. Theiociof f + ^ = and ?-| = 0. 3. a: = and ?,r 4- 2/ = 7. 



2 3 



4 j- = 0, y = 0, and .1 1/ - -j r = 0. 5. x - 1 = and x - 1 = 0. 



& z a + y = 4, y + 2 z = 0, and y 2 x = a 



