i in: i v of A LOCU8 67 



C7>- v^-r-iT^-My 'S [2]), 



V^x o/ + (^ 2)* | ; [algebraic e< | ii a 



(r - 3) f -r- (^ - 2) 1 - y ; 



'O f 



\vln- -ii. 



The locus of tins tMjii IN- plotted by : 



mrth'HU . 87, ami its f,,nu ami limitations can be 



diacuaaed aa ia there 1 . -thn- 



EXERCISES 



1 I -1 Uieeqna- - jath traced by a jx^ inoTM M> 



that it U always at the dUtance 4 from the point (5, 0). Trace th 



2 Kind tbeequa I path traced by a point which moves ao 



that it ia always equidistant fruni the points (-.', 3) and (7 

 ) 



3. A line is 3 units long; one end is at the point (-.>, a). Find 

 the locus of the otht Ex. s. p 



4 A point mores so as to be always equidistant from the y-axi and 



). Ft ml the equation of its path, and then trace and 

 discuss the locus from its equa 



5 & point moves so that the sum of its distances from the two points 



', - v7>) is always equal to 6. Find the equation of the locus 

 traced by this moving point. 



6. A point moves so that the difference of its distances from the two 

 points (0, >/:>), (0, - v/5) is always equal to J 1:1 the equation of the 

 locus traced by this moving p 



48 The conic sections. Of tin- innumerable lx*i wbirli 

 may U- givtMi by means of tbe law governing tbe motion of 

 the generating ug point, tbere is one claas <f 



.<-e; audit is to tin- .stul\ f this important 

 clans that tin- following (tageswill be chiefly devot-l. Thetf 

 curve* are traced by a point uhich movei 90 that its c/t*fcHM* 



