408 4 AMI /:/; 



Pages 235, 236. Examples on Chapter IX. 

 1. 3y = 4*. S. y-2z-8y+10 = 0. 8. (y + 7) = 4(* - 3). 



4. z*-2z-4y + 6 = 0. 6. (1, 1); ; 

 7. y* = 4p(z + p). 8. y*=-9z. 9. y* = 8z. 

 10. y = z; z-f y+p = 0. 11. 90; tan~(|). 12. 1 

 18. y* = px. 14. y* = 2px. 



17. kx = p. 18. y = A-/). 19. y 2 = 4pz 4 



20. A parabola whose focus is the given point and whose dm . n-ix is the 



IfaM, 



22. Ary* = p(l + k)*x, if k is the given constant ratio. 28. 2 y = 8z - 4. 

 26. A parabola whose focus is the center of the given circle, and v. 

 directrix is a line parallel to the given line and at a distance from it equal to 

 the radius of the given circle. 

 26. If w is the slope of the normal, these points are : (pm 2 , 2pm) and 



-^ (m 1 + 2)*, ^ (m* + 2) \ , and the length is i^ (1 + m a ) *. 

 29. z* y^ = a*, where a = 4 \/2p. 80. (p, 2p) ; slope is 1. 



Pages 241, 242. Art. 145. 



4. x = - ; the left-hand directrix. 



A/;') 



7. Through the points for which z = 



'a* + 6* 



0. The points for which z = 

 11. 3z + 8y = 4; 2z = 3y. 

 18. - - -- 14. 



15. (y, _J) ; 71 9|. ie. The points for which z 

 Pages 258, 259. Art. 156. 



1. 16y=16z. 2. 3z+6y=0. 4. (a) 



7. 4y3z = 0. 8. 6v^. 0. tan" 1 2 ; 2\/6y + z = 0. 



10. 2y = z; 3z-f 2 y = 0. 11. \/16, VI3. 12. a V2 ; 46. 



1C (-3, -V3); 210. 16. ez = a; aex = ft 2 . 18. (a, 0); , 



