Ill ] '/JT PAHAIto "J .'.-I 



5 Bkflfl : >' the pole of any chord is on the diameter which eorre. 



6 v. .i ,,f the parabola y*8x. when 



to its diameter jr - 6 and UM ooires|Mnding tangent as coordinate 

 ? 



7 What is the equation of UM parabola (_ + 8)< = li< . 



ben mferred to a diameter through tl. ;, 4) and the corre- 



tangent as coordinate axea? 

 o 1 uid the pole of the diameter f - * with reference to the parab- 



9. Theiiolarof any point on a diameter U parallel to the oorrotpoud- 

 iug tangf ut of Uiat diameter. 



EXAMPLES ON CHAPTER IX 



Kind the equation of a parabola with axU jarallel to the x-axi: 

 i .iming through th, ]-.inU(0,0), ( 

 X poring through the poinU (J, 1) 



.rough the IM.I- ii the vertex at the point (:i. -7). 



4 A parabola whoee axis U parallel to the y-axia, paasca through the 

 point ^ : find iu equat 



5 1 nul the rertex and axis of the paraboU of l.\ I. 

 1 the equation of a parabola 



6. if ihf ax in and directrix are taken M coordinate axea. 



7. with the focus at the origin, and the y-axU parallel to the directrix, 

 a tangent to the line 4 y = 3x - 12, the equation being in the aim- 



],i,-,t stan.i.ir.i fonn. 



9. if the axU of the parabola coincide* with the x-axi, and a 

 radius of length 10 coincides with th* line 4 x - 3 j = & 



10 Two equal paraboUs have the same vertex, and their axea are per* 



find their common chord and common tangent \ 



11 At what angle do the paraboUs of Kx M internet. 



12 Two Ungenta to a parabola are perpendtmilar to each other; find 



,! tl..- DOffTMpOoABf Hlb^BBfi nt>. 

 Find the locus of the middle \ 



13. of all the on Ii nates of a parabola. 



14. of all chords passing through the vertex, 



