IMt] TIi* LOCUS OF Ay XQUA7 47 



L equation u latUfied by the following pair* of ralos*, found a* in 



4 = p,.4 



; N 

 *. 90 



la 



corresponding poinU are : 



All theae point* are found to lie on the circumference of a circle 

 whom- radius u 2, the pole being on the circumference, and the polar azb 

 being a diameter. Thin circle is the locus of the equation p = 4 cos* 



EXERCISES 

 Plot the loci of the following equations: 



l.r = a 7. x + y* = 4. 13 f + i = 9. 



,0. a x + y = 4. 14 u' + r =0. 



^=0 9. r-y = a 15. 



4.8* = 7. 10. *-y = 4. 16 



+ 5 = 0. 11 J - + y = 4 17. 



6 f^=0. 12. v = m la 



19. y = - j. 



35. The locus of an equation. By the process illustrated 

 above, oi u.ting a curve from iU equation, tin- first 



I tion of a ICKUS is obtained, \ 



(1 ) Th.- Ioeu9 of an equation containing two variable* u 

 the //m. "r *?t of /I'M*-*, rr/iiV/i contain* all the point* icko*e 

 tofirtlinate* *,iti*fi/ thf given equation, and which contain* 

 no other point*. It is the place where all the points, aad 



