ADHHJUJKQDOI J_ZO QDLKR ??6 w w w . t gd k` d d t. d k RLIXJA SULEIJRN Jx. ? V rdtj tgj lrajr oka ajfrjj l h tgj adh hjr jktdoi jquotdlk 3 ax ay sdk ax ay > + Rli . Gdfgjst lrajr ajrdvotdvj ds ax ay Lrajr lh adhhjrjktdoi jquotdlk ds ?. Jquotdlk boklt ej wrdttjk os o piyklndoi dk ajrdvotdvjs. Gjkbj ajfrj ds klt ajhdkja. Jx. 5 Vg ot w di i ej tgj lr ajr lh tgj ad hhj rjktd oi j quotdk, blrrjs plkad kf tl tgj hon di y lh burvj s y > o sd k (x + e), w gjrj o d s ored trory blkstokt. Rli. Os tgjrj ds lkj oredtrory blkstokt, sl lrajr lh blrrjsplkad kf adhhjrjktdoi jquotdlk ds ?. Jx. 2 H lrn tgj ad hhj rjkt j quotd lk rjpr js jktd kf tgj ho n di y lh b urvjs fdvj k ey xy > Oj x+ E j‒ xw gjrj O oka E orj blkstokts. Rli. xy > Oj x + Ej ‒x ...(d) y + xy> Oj x ‒ Ej x oka y+ y + xy" > xy PHrln(d)^ xy' + 5y ‒ xy > 3 ds tgj rjqudrja jquotdlk Jx.1 H dka tgj j quotdlk lh o burj poss dkf tgrlufg tgj pldkt ( ‒5, 2), fd vjk tgot tgj si lpj lh tgj tokfjkt tl tgj burvj ot oky pldkt (x , y) ds 5 y x 5 . Rli. Vj `klw tgot tgj silpj lh tgj tokfjkt tl o burvj ot oky pldkt (x, y) ds fdvjk ey ax ay . Rl, 5 y x 5 ax ay Dktjfrotdkf eltg sdajs, wj govj ax x 5 ay y 5 B x 2 y 5 2 ...(?) Rdkbj tgj burvj (?) possjs tgrlufg tgj pldkt (‒5, 2) B ) 5 ( 2 ) 2 ( 5 2 4 > 1 + B B > : Ruestdtutdkf tgds voiuj lh B dk (?), wj govj : x 2 y 5 2 d.j., y 2 ‒ 2x 5 > ?: lr y > 2 5 ?: x 2 Jx. : Ot oky pldkt (x, y) lh o burvj , tgj si lpj lh tgj tokfjkt d s twdbj tgj s ilpj lh tgj idkj sjfn jkt m ldkdkf tg j pldkt lh blktob t tl t gj pldkt ( ‒1, ‒2). H dka tgj jquotdlk lh tgj burvj, fdvj k t got dt p ossj s tgrluf g ( ‒5, ?). Rli. Dt ds fdvjk tgot x 1 y 2 5 x 1 y 2 5 ax ay ax x 1 5 ay y 2 ? Lk dktjfrotdkf, wj govj, ilf |2 + y| > 5 ilf | 1 + x | + B Rdkbj tgj burvj possjs tgrlufg tgj pldkt (‒5, ?) wj suestdtutj tgj voiuj x > ‒5 oka y > ? dk Jq. (?) oka fjt ilf |2 + ?| > 5 ilf |1 ‒ 5| + B B > ilf 1 ‒ 5 ilf 5 > 5 ilf 5 ‒ 5 ilf 5 > 3 Gjkbj, hrln (?), tgj rjqudrja jquotdlk lh tgj burvj ds ilf |2 + y| > 5 ilf |1 + x| lr 2 + y > (1 + x) 5 d.j., y + 2 > (x + 1) 5
