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(i) 60 1 1 (iii) 10 (iv) b;sß jev m%udKh Èkla ;=, wjika l<hq;=jev m%udKh = ñ'me' 120 1 ñ'me' 120 = 2 = ñ' me' 60 1 tla lïlrejl= Èklg jevl< hq;= meh .Kk = = 60 5 12 1 1 10 –3 1 (ii) (0 , –3) 2 (iii) y = x2 – 3 2 (iv) 0 ;a 1.8 ;a w;r fyda 0 < x < 1.8 2 02. (i) (v) wkql%uKh 05. = = = 1 1 wka;#LKavh = –1 1 iólrKh" y = x–1 1 10 03. (a) (i) x = 2y (1) 1 x – 2y = 0 100x + 150y = 14 000 (2) 1 iqÿiq mßudKhla ,sùug ;srig 90 la ,l=Kq lsÍug mßudKhg wkqj f.dvke.s,af,a Wi fiùug f.dvke.s,a, we£ug^mßudKhg& 40 fldaKh we£ug 30 fldaKh we£ug lKqj iy fmd,j w;r 90 ,l=Kq lsÍug lKqj we| oelaùug lKqfõ Wi uek ,sùug lKqfõ ienE Wi fiùug 1 1 (500 – 550) 1 1 1 1 1 1 1 1 1 (ii) (1) 75, 75 x – 150y = 0 (3) 1 x = 80 2 y = 40 2 06. (i) (ii) x d f fxd 375 – 150 2 – 300 1 425 – 100 3 – 300 v – 2as = u 1 475 – 50 5 – 250 √ 1 525 0 9 0 10 575 + 50 4 + 200 625 + 100 4 + 400 675 + 150 3 + 450 30 200 (b) v2 = u2 + 2as 2 2 = u 04. (a) = 1 1 5 = 2x + 4 1 5–4 = 2x 1 = x 1 (b) x (x + 4) = 45 1 = 0 1 (x + 9) (x – 5) = 0 2 x = – 9 fyda x = 5 1 x2 + 4x – 45 x , d yd fd ;Srj,g 1 A 3 3 + ( = 525 + = = 525 + 6.66 531.66 ) 1 1 1 Èkl uOHjH wdodhu = re' 532 (iii) Èk 20 l wdodhu os. yd m<, iDK úh fkdyel' u,a md;a;sfha m<, = 5m uOHkHh = 10 10 = re' 532 20 1 = re' 10 640 1 10 640 > 10 000 wdodhu m%udKj;a fõ' 1 10 - - www.mathspapers.info - - 07. (i) Tn = T12 = (ii) Sn a + (n – 1) d 5 + 11 4 = 5 + 44 = 49 = ^ 2ACB 1 = ^ (OA = OB) OBA 1 ^ + OAB ^ + OBA ^ = 180 AOB 1 ^ AOB ^ 180 – 2 OAB 1 1 ^ = 180 – 2 OAB ^ túg 2 ACB 1 1 ^ ^ 2 ACB + 2 OAB 1 ^ 10. AOB 1 ^ OAB 1 (a + l) S12 = = 1 (5 + 49) = 6 54 = 324 ^ ADB 1 377 1 5 + (n – 1) 4 1 56 = (n – 1) 4 1 14 = n–1 15 = n (iii) S13 = = (iv) 61 = 324 + 53 1 = = ^ OAB = 180 (o;a;h) ^ ^ 2 ACB + 2 ADB = 180 1 ^ = ACB ^ jk ksid ;jo ADB ^ + 2 ACB ^ 2 ACB = 180 1 = ^ ACB 11. (i) 1 = 45 BD (o;a;h) 1 ^ ^ AEB = DBE (o;a;h) 08. (i) (ii) (iii) (iv) (v) AB f¾Ldj we£ug 60 fldaKh ks¾udKhg 45 fldaKh ks¾udKhg ,ïnlh ks¾udKhg AC ys ,ïn iuÉfþolh ks¾udKhg O ,laIHh ,l=Kq lsÍug jD;a;h we£ug wrh uek ,sùug 1 1 1 2 2 1 1 1 10 1 BE (fmdÿ mdoh) BE = 2 r = 88 = 88 r = r = mßudj = ^ (ii) túg ABE = ^ BED fõ' = 1 (iii) ;jo AB = DE (wkqrEm wx.) 1 AB = DE = 14 cm 14 14 20 12 320 cm3 BC (o;a;h) 1 BC 1 10 12 1 anti log 0.3295 = 2.135 1 = 0.3295 18 .eyeKq <uhs 1 3 = 50 1 = 1.8949 + 0.9694 – 2.5348 20 (ii) 12 w÷re lsÍug (iii) AB’ (iv) 50 25 1 1 la fõ' 12. (i) 1 1 1 (b) lgx = lg 78.5 + lg 9.321 – lg 342.6 x 1 AB // DE (taldka;r < ) ABCD r2h = 1 ABE BDE (md'flda'md') ;jo DE // BC fõ' 09. (a) 2r 10 ABE yd BDE j, AE = 10 1 10 r;= nekshï we¢ wh fldKavh 3 f.d;d isá <uhs 1 1 1 13 12 18 7 .eyeKq 4 <uhs 10