Math Part A Answer - Key
September 16, 2022 | Author: Anonymous | Category: N/A
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@EXFG@EXOBR YEZX 5
5. On tfg erge ln ldg borbcg os twobg tfet ln edltfgr borbcg, wfet os tfg retol od pgrbgdt ln tfg s`eccgr tl cermgr borbcg<
e. >/7
j. 5:/7
b.
h. 2
-2
59. 8 `edmlgs blst Yfp :?.99. Et tfet
e. 79%
j. :7%
probg, wfet wocc twl edh e fecn hlzgd
b.
h. =9%
`edmlgs blst<
=7%
2 +:
:. Nlr wfet vecug/s ln x os udhgnodgh<
0 √ :
e. :
j. -:
b.
h. -:/2
:/2
stuhgdts od sgbtold E erg es nlcclws; 69,
j. √= 6 > 6
h. √ = 7 > 6 8. Xfg sohgs ln e troedmcg erg 2, > edh 6. On b.
tfg cermgst sohg ln e so`ocer troedmcg os 5>, wfet os tfg sflrtgst sohg< e. >
h. :8 bldteods 589
pogbgs
bldsostodm Y5999 edh Y799 pgsl jocc. On tfg du`jgr ln Y799 OR :9 `lrg tfed tfg du`jgr ln Y5999 pgsl jocc. Flw `edy Y799 pgsl jocc erg tfgrg< e. 89
j. =9
b.
h. >9
69
=7, >9, ?7, edh 599. ]fet os tfg `ged tfos mrlup< e. 69.:
j. 65
b. 6:
h. 65.:
5:. Xfg su` ln twl bl`pcg`gdtery edmcgs os O tfg retol 5;8. ]fet os tfg cermgr edmcg<
j. 5:
b. 56 7. Ed gdvgclpg
j. Y 286.79 h. Y :5=.79
55. Xfg mrehgs od `etfg`etobs ln tfg
2. Xfg prlhubt ln (√8 7 2 : )(2 2 : 8 ) e. 5: 6 7 >
e. Y 6=9 b. Y 566.79
>. ]fet os tfg 29 tgr` et tfg sgqugdbg tf
7, 6, 55, 58…
b.
h. ?9
=:
52. Od e romft troedmcg EJB tfg romft edmcg os et B. Xfg `gesurg ln EB os > edh JB os =. ]fet os tfg `gesurg ln EJ< E J< e.
b.
5522
j. 5 h. 2 29 9
58. Ecc tfg sgets ln tfg jus erg lbbupogh edh sox erg stedhodm. Et tfg dgxt jus stlp, 52 pgrslds mlt lnn edh 7 mlt od.
e. ?:
j. ?7
Flw `edy sgets wgrg g`pty ld tfg
b.
h. 68
dgxt stlp<
6=
=. Xfg slcutold sgt nlr tfg gquetold :
x - 8x - 7 0 9 e. x 0 7,?
j. x 0 7,5
b.
h. x 0 7, -5
x 0 -7,5
6. Gxprgss
√ 2 +> es e sodmcg nrebtold od + 8
so`pcgst nlr` e. b.
√7 : √:5 8 : +2 8
+ j. 7 : √:5 h. 8
?. On tfrgg to`gs e du`jgr os sujtrebtgh nrl` = to`gs tfg du`jgr tfg rgsuct os 5:. ]fet os tfg du`jgr<
e. :
j. 9
b. :2
h. :8
57. Od flw `edy weys bed 7 morcs jg sgetgh od e rlw ln 7 sgets<
e. ?7
j. 5:9
b.
h. 599
597
5>. Xwl bers trevgc et tfg se`g to`g et lpplsotg horgbtold. Ldg trevgcs 79apf edh tfg ltfgr trevgcs >9apf. Od flw `edy flurs wocc tfgy jg 229a` epert< e. : frs.
j. 2 frs.
b.
h. 7 frs.
8 frs.
@EXFG@EXOBR YEZX 5 5
5
:
2
5=. Netfgr Zgygs rud 2 a` ld @ldhey 8 a`
ld
Xugshey
]ghdgshey.
edh
Ejlut
7
7 a` ld >
flw
`edy
aocl`gtgrs hoh fg trevgc od ecc< :
e. 5: 2
2
:
h. 57 2 5 7 > =
e. 5
b. ,
=
7 >
, ,
: 5> 6 7
: 6 7 5> 5 7 > =
j. , , h.
: 6 7 5> = 7 > 5
, , ,
5> 6 7 :
5?. ]fet os tfg gquetold ln e codg tfrlumf (7,5) pgrpgdhobucer tl 2x + 8y -7 0 9 < e. 2x-8y +5= 09
j. 8x-2y+5=09
b.
h. 2x+8y-5=09
8x-2y-5=09
:9. 8 sblrgs edh = ygers eml `geds e. 8= ygers
h. :96
:7. Ro`pcony (2x ‒ ?) / (x ‒ ‒ ?) :
e. 2/(x-2)
j. 2/(x+2)
b.
h. 2/(x-5)
2/(x+5)
e. 59x + 5=y
j. 5>
56. Erredmg nrl` cgest tl mrgetgst; , , , ,
5=>
:>. Ro`pcony 2(x ‒ 8y) ‒ (8y ‒ 2x) ‒ (:x + y)
:
b.
b.
j. >= ygers
j. 59x-5=y
j. -59x + 5=y h. -59x-5=y :=. E bcess ln 89 gxe`odggs tlla Alrged edh Mgr`ed cedmuemgs. On 29 pessgh Alrged, 2> pessgh Mgr`ed edh : neocgh od
jltf
cedmuemgs
.Flw
`edy
gxe`odggs pessgh jltf sujkgbts
:6. Xfg vecug ln
h. := 8
5=
e. 7
5?
+8
8 5=
; j. ?
b. 5=
h. beddlt jg hgtgr`odgh
b. == ygers h. 6= ygers :5. Et Er`ed‟s Bl. Yrgtzgcs erg `lvgh nrl`
:?. E troedmcg fes e pgro`gtgr ln 79 b`. On : ln ots sohgs erg gquec edh tfg 2rh sohg os
lvgds tl pebaemodm od e codg ln :7. Gvgry
7 `lrg tfed tfg gquec sohg, wfet os tfg
nontf prgtzgc os tgstgh nlr wgomft. Gvgry
cgdmtf ln tfg 2 sohg<
tforh prgtzgc os tgstgh nlr sozg. Flw
e. 7 b`
j. 57 b`
`edy ln tfg :7 prgtzgcs erg dlt bfgbagh
b.
h. :9 b`
rh
59 b`
29. Od ed Ecmgjre tgst, tfg fomfgst mrehg
lr tgstgh< e. 59
j. 55
wes 8: plodts `lrg tfed tfg clwgst
b.
h. 52
mrehg. Xfg su` ln tfg twl mrehgs os
5:
::. Ed gdmodggr lnngrs e :, 2, lr 8,
526. Nodh tfg fomfgst mrehg.
jghrll`s wotf 5 lr : jetfrll`s edh
e. 8:
j. 86
wotf e sodmcg meremg. Od flw `edy weys
b.
?9
h. ?>
bed e juygr bfllsg tl juy<
25. ]fobf e`ldm tfg nlcclwodm stetg`gdts
e. :8
j. >
os trug<
b.
h. 5:
e. E rgbtedmcg os e squerg
56
:2. On 79% ln e du`jgr os :9, tfgd wfet os
j. E pereccgclmre` os e trepgzloh
=7% ln tfg se`g du`jgr<
b. E rfl`jus os e rgbtedmcg
e. 59
j. :9
h. E squerg os e rfl`jus
j. 29
h. 89
2:. Ecojeje wlras 89 flurs e wgga edh
:8. @era neccs 5> nt od tfg norst flur, 86 nt ld
`eag Yfp 69.99 ed flur. ]fet os fos
tfg sgbldh flur edh 69 nt ld tfg tforh
teag fl`g pey nlr : wggas on Yfp
flur hurodm e nrgg necc. Flw `edy nggt
5899.99 os hghubtgh nlr tex<
wocc fg necc ld tfg soxtf flur<
e. Yfp ?>,899
j. Yfp 7,999
e. 55:
b.
h. Yfp 5,699
j. 588
Yfp =,699
@EXFG@EXOBR YEZX 5 22. Ed lhh du`jgr os mrgetgr tfed >x7 edh cgss tfed >x=. ]fet os tfg du`jgr on tfg 89. Flw `edy coag @etf<
su` ln ots homot os 6< e. 25
j. 27
e.
b.
h. 2?
b.
89
28. ]fet os tfg s`eccgst plsotovg odtgmgr tfet fes >, 6 edh 59 es nebtlrs< e. 69 j. 5:9 b.
:89
j. =
58 5:
h. ?
85. Flw `edy coags @etf ldcy< e. : b. 58
j. = h. ?
8:. Flw `edy coags Rbogdbg edh @etf<
h. 299
27. E stoba ?> b` cldm os tl jg hovohgh od tfg retol 2;8;7. Flw cldm os tfg cldmgst
e. 7
j. 8
b.
h. ?
2
82. Flw `edy coags ecc 2 sujkgbts<
pert< e. 6
j. 5>
e. 7
j. 8
b.
h. 89
b.
h. ?
:8
2>. ]fet os tfg sclpg movg tfg plodts (2,-7) edh (-:, 8)<
2
88. Flw `edy hl dlt coag edy ln tfg 2 sujkgbts<
e. 7/?
j. -7/?
e. 7
j. 8
b. -?/7
h. ?/7
b.
h. ?
2=. Esfjgrry Gstetgs slch 879 tlwd flusgs
2
87. Flw `edy stuhgdts erg tfgrg<
wflsg erge os 69 squerg `gtgrs. Flw
e. 5>
j. ?
jom os tfg erge od fgbterg<
b.
h. 86
e. 2.>
j. 8
b.
h. 7.>
8.>
26. Ed
edmcg
os
58¹
`lrg
88
8>. ]fet erg tfg pro`g nebtlrs ln =:9< tfed
ots
bl`pcg`gdt. Nodh ots suppcg`gdt.
e. 5>½?½7
j. :8½2:½7
8
h. 6½56½7
b.
2
: ½2 ½7
8=. Kled rgbgovgh 7:% ln tfg vltgs es bcess
e. 26
j.7:
lnnobgr. On sfg rgbgovgs 598 vltgs, flw
b.
h.5:6
`edy vltgs wgrg best<
58:
2?. Xfg pgro`gtgr ln ed gquocetgrec troedmcg os :8b`. Nodh ots erge< e. 8
j. 6
b. 5>
h. >8
GDMCORF :
7
8
b.
h. :99
599
56 edh :8`odutgs< e. 58 `ods.
b. 5: `ods.
j. 52 `ods.
h. 55 `ods.
8?. Kgnn fes :,669 bcessob rlba sodmcgs. Fg
6
2
j. =7
86. ]fet os tfg `ged ln sgvgd cldm hostedbg beccs tfet cestgh nlr 8, >, =,6,59,
Nlr du`jgrs 89-87 rgngr tl tfg nomurg jgclw; @EXF
e. 79
jgmed tfos blccgbtold = ygers eml edh fes ?
=
hlujcgh tfg du`jgr od fos ? ygers. Flw `edy sodmcgs hoh blccgbtold dh
RBOGDBG >
fg blccgbt hurodm tfg : yger< e. 2=7
j. ?9
b.
h. 2>9
569
@EXFG@EXOBR YEZX 5 79. On e plsotovg du`jgr os odbrgesgh jy =9 pgrbgdt,
edh
tfgd
tfg
rgsuct
os
wes Yfp. 2=,7:9 `odus Yfp.7, 299 nlr tredsplrtetold.
hgbrgesgh jy 79 pgrbgdt, wfobf ln tfg
e. 5:.8?%
j. 58.78%
nlcclwodm ebburetgcy hgsbrojgs tfg dgt
b.
h. 58.52%
7?. ]fet os tfg vlcu`g ln eor on ed
bfedmg< e. 57% hgbrgesg
j. 5:% odbrgesg
b. :9% odbrgesg h.:9% hgbrgesg 75. ]fet erg tfg dgxt tfrgg du`jgrs od tfg 5 5 5 :
sgqugdbg , , , , √, √, √ > 2 : 2
e. 7/>,5,=/>
j. 7/>,:/>,=/2
b. =/2, 8, ?/2
h. 7/:, =, 5/2
7:. ]fobf ln tfg nlcclwodm hlgs dlt jgcldm tl tfg mrlup< e. 2,8,7
j. 29,89,79
b.
h. :9,29,>9
7, 5:, 52
72. :99 os tfg se`g es; e. :9% ln 599
j. :7% ln :99
-:, 7, 2,->, 8, edh -8< e. 8
j. 59
b. 2
h. 55
77. E ner`gr lwds 29: fgbterg. Fg pcedtgh 5/2 ln tfg erge tl blbldut. Xfg rgst wgrg bldvgrtgh tl `edml edh ltfgr nruots. Movg tfg du`jgr ln fgbtergs usgh nlr `edml edh ltfgr nruot trggs e. :9:.2 fe
j. :98 fe
b.
h. :9: fe
:95.22 fe
et`lspfgrob jecclld wotf hoe`gtgr ln :8 b`< 2 e. :298 b`2 j. 7=9 b` b.
7>. ]fet tfg `lhg ln tfg sgt os ln sblrgs :>, 89, 2?, 8?, 7=, :6, 89, 7=, 89, edh 8?< e. :>
j. 89
b.
h. 7=
7=. ]fobf ln tfg nlcclwodm yger os e cgep yger<
2
h. 588 b` 2
>9. E cewd sprodacgr bed rgebf >.7 `gtgrs od edy horgbtold es ot rltetgs. ]fet os tfg erge wetgrgh jy tfg sprodacgr< (usg
0 2.58) e. 52:.>> sq.`.
j. >>.22 sq.`.
b.
h. 5>.76 sq.`.
22.5= sq.`.
>5. @r.Jged os berpgtodm tfg covodm rll` 6 ` jy =`. On tfg probg ln tfg berpgt blsts ehhotoldec >% secgs tex, flw `ubf wluch fg pey< e. Yfp 8=,>99
j. Yfp 79,87>
b.
h. Yfp 52,757
`gtgrs ln mress sggh. Ot fes e fgomft ln 59 ` edh wohtf ln :9 `. ` . Flw cldm os ot< e. 8
j. 7
b. >
h. 6
>2. E stlremg socl fes e sfepg ln e bycodhgr wotf e hoe`gtgr ln 57 ` edh e fgomft ln :9 `. ]fet os tfg vlcu`g ln tfg socl< (usg 0 2.58) e. 2,72: `2 b.
berh<
:95>
h. :95=
b.
eppcoedbgs nlr :76,999. Fgr bl``ossold
2
h. ?8: `
]fet os tfg prljejocoty ln mgttodm e nebg e.
bl``ossold meodgh jy rujy. Rfg slch ed
2
8,=59 `
2
j. 58,529 `
>8. Ldg berh os teagd nrl` e hgba ln berh
j. :957
76. Movg tfg nodec pgrbgdtemg retg ln
Yfp 5:,=79
>:. E rgbtedmucer bertld flchs 699 bujob
e. :958 b.
:89 b`
Yfp 679.99 pgr squerg `gtgr edh
b. 89% ln 799 h. 79% ln >99 78. ]fet os tfg redmg od tfos sgt ln hete 5,
8?
5:.97%
5 2
j.
= 5: :
h. 2
>7. E peor ln hobg os rlccgh ldbg. Nodh tfg prljejocoty ln mgttodm e su` ln 7 lr 55. e.
5 2
j.
@EXFG@EXOBR YEZX 5 7
b.
2>
h.
= 2>
=8. On ldg sohg ln e troedmcg os ldg ‒tforh tfg
>>. On ? od =?67>= os bfedmg tl e 7 flw `ubf s`eccgr os tfg dgw du`jgr e. 29999
j. 2999
b.
h. 8999
89999
>=. Bfedmg 52.7% tl ots nrebtold nlr` e.
:
b.
j.
:= :9
29¹ ld tfg mrludh. On tfg cehhgr os 6.7` nrl` tfg jesg ln tfg juochodm. ]fet os cgdmtf
(bls(29 )09.6>>,
ln
tfg
cehhgr<
9
sod(29 )09/.7,
ted
9
(29 )09.7==) e. ?.6 `
j. =.8 `
b.
h. 5= `
8.:7 `
>?. On 6 +
7
e. 76
ln 2 2
>6. E cehhgr cgeds emeodst e wecc edh `eags
9
troedmcg< j. 57
b. 67 h. 75 =7. ]fet os tfg rgboprlbec ln tfg su`
h.
9.527
tfg
tfg pgro`gtgr edh tfg tforh sohg os =`gtgr .]fet os tfg pgro`gtgr ln tfg
nlr`gh<
:=
pgro`gtgr, tfg sgbldh sohg os ldg- nontf
0 55, wfet os tfg vecug ln 2x<
e. b.
5
5
: 2< 8 >=
j.
h.
5: 52 8
8 52
=>. Xfg evgremg ln tfrgg bldsgbutovg lhh du`jgrs os :=. ]fet os tfg dgxt lhh du`jgr od tfg sgrogs< e. :=
j. :?
b.
h. 22
25
==. @r. Merboe lwds e 59 ° fgbterg trebt ln cedh. Fg pceds tl sujhovohg tfos trebt
e. -57
j. 57
odtl ³ fgbterg clts. Fg `ust norst sgt
b.
h. 87
esohg 5/> ln tfg tltec cedh nlr tfg rlehs.
29
=9. Xfg so`pcgst nlr` ln e.
7( + ) 7
b.
7
Flw `edy clts wocc tfos trebt yogch<
;
+ ( √ √ ) j. √
h.
7
=5. ]fet os tfg slcutold ln tfg gquetold; 7 :( +5)
0
2
e. 8
j. 7
b.
h. 5>
=:. On
+: os `uctopcogh jy √ 2
√ 8 , wfet os tfg √ 5
prlhubt ln tfg hgdl`odetlr<
e. b.
: √ : √ 6 : √ = + 5:
j. √ + h. : + √ 5
=2. Xfg stuhgdt plpucetold od Jedmaec Gcg`gdtery Rbfllc odbrgesgh jy 7% ygercy. On tfgrg erg 5,899 stuhgdts et prgsgdt. ]fet wocc jg ots gxpgbtgh plpucetold : ygers nrl` dlw< e. 5,788
j. 5,782
b.
h. 5,6=>
5,=95
b.
j. 8:
27
h. DLDG
=6. On Y ?9,999 os hovohgh e`ldm Edde, Jgtf edh
Berlc
od
tfg
retol
6;=;2,
rgspgbtovgcy, wfet e`ludt wocc Berlc rgbgovg<
( +:)
5:
e. 29
e. Y 59 999
j. Y 57 999
b. Y 27 999 h. Y 89 999 tf =?. ]fet os tfg > od tfg prlmrgssold 5, 8, 5>…
e. >8
j. 59:8
b.
h. :986
:7>
69. Hurodm e rgbgdt sflppodm sprgg, Xl`es edh Dgde jlumft sl`g dgw ebbgsslrogs nlr tfgor epert`gdt. Dgde bflsg e brlbfgtgh tfrlw pocclw et Yfp.:8.?7, edh Xl`es purbfesgh e rurec cedhsbepg peodtodm nlr Yfp. 527.99 flw `ubf hoh tfgy ebtueccy spgdh on tfgy peoh =% secgs texgs ld tfgor purbfesg<
@EXFG@EXOBR YEZX 5 e. Yfp5=5.57
j. Yfp57?.?7
plsotold. Flw `edy eppcobedts wgrg
b.
h.dldg ln tfgsg
tfgrg nlr tfg plsotold<
Yfp52?.:7
65. On I os hgnodgh nlr ecc plsotovg du`jgrs :
e edh j jy e I j 0 :ej - j , tfgd 7 I :
e. 58
j. :9
b.
h. 29
:6
6?. E sgdolr bcess ln 79 morcs edh =9 jlys
0< e. 6
j. 5:
b. 5> h. :9 6:. ]fobf ln tfg nlcclwodm prlplrtolds os blrrgbt on 5: 0 pq<
spldslrgh e hedbg. On 89% ln tfg morcs edh 79% ln tfg jlys ettgdhgh tfg hedbg, epprlxo`etgcy wfet pgrbgdt ettgdhgh<
e. :;p0>;q
j. 8;p02;q
e. 88
j. 8:
b.
h. 8;q0p;2
b.
8>
h. 89
>;p0:;q
62. Xfg vgrtobgs ln rgbtedmcg EJBH erg E(-
?9. Nodh tfg slcutold sgt; :(x+2)37x->
5,9), J(:,9),B(s,t), edh H(-5,8). Flw cldm
e. x38
j. x48
os hoemldec EB<
b.
h. x4-8
e. :
j. 2
b.
h. 7
8
68. Nodh tfg evgremg ln tfg odtgmgrs nrl` 5
x3-8
?5. Rlcvg tfg systg`; 2x+:y05 edh :x+y07 e. (-52,?)
j. (-?,52)
j. (?,-52)
h. (-?,-52)
?:. Hgtgr`odg tfg bldstedt b sl tfet (2,:)
tl 25. e. :>
j. 75
wocc jg e slcutold ln :x+by0b+5
b.
h. 52:>
e. -7
j. -2
b.
h. 5
5>
67. Od e codg ln bfochrgd, Jryed os sgvgdtf nrl` gotfgr gdh. Flw `edy erg tfgy od
:
?2. Rupplsg x verogs horgbtcy es y edh odvgrsgcy es z edh x05: wfgd y02 edh
tfg codg< e. 52
j. 58
z0:. Nodh x wfgd y0> edh z05:.
b.
h. 5>
e. :
j. 8
b.
h. 6
57
6>. On (x+:y) os 69 `lrg tfed (x-:y), tfgd
?8. ]fobf ln tfg nlcclwodm os gxebtcy
y0< e. 59 b.
>
29
j. :9 h. bed‟t jg hgtgr`odgh
6=. On Agvod fes ed evgremg ln =6% ld fos norst twl tgsts edh fes ed evgremg ln 6>% ld tfg dgxt sox tgsts, wfet os fos nodec evgremg< e. 65%
j. 6:%
b.
h. 68%
62%
66. Fecn ln tfg tgebfgr-eppcobedts nlr e
hovosojcg jy 2 edh 55 e. 27=9898 b. 558287 ?7. Nodh tfg MBN
j. ??5555 ln
h. 527=?: 86 : 2 , =: 2 : ,
2> 8 e. > :
j.
b. 5: 2 8
h. 2> : 8
?>. ]fet os tfg erge od squerg udots ln e troedmcg wflsg vgrtobgs cog ld plodts (-7,
plsotold wgrg turdgh hlwd ld tfg jesos
5), (-7, 8), edh (:, 8)< 8 )<
ln rgspldsgs rgbgovgh od tfg `eoc. Xgd
e. :9 sq. udots
j. 5:.7 sq. udots
ltfgrs wgrg gco`odetgh entgr pgrsldec
b.
h. 59.7 sq. udots
57.9 sq. udots
odtgrvogws, cgevodm ldg-sgvgdtf ln tfg
?=. Xfg su` ln tfrgg bldsgbutovg gvgd
tltec du`jgr ln eppcobedts nlr tfg
du`jgrs os 579. ]fet os tfg `ohhcg du`jgr<
@EXFG@EXOBR YEZX 5 e. 86
j. 79
b. 559,999 bujob `gtgrs
b. 7:
h. 78
h. 599,999 bujob `gtgrs
?6. 89% ln 27 os wfet pgrbgdtemg ln 589<
e. :?%
j. 59%
b.
h. 58%
:6%
??. Movgd tfet
≩ 9 edh r07w0=e, nodh tfg
vecug ln r-w od tgr`s ln e. = e. j. =
b. 2e
7
h.
59>. Lut ln tfg 588 stuhgdts od Becbucus O, Flw `edy ln tfg` neocgh< e. 68
j. 86
b. >9 h. 8> 59=. On tfg su` ln tfg odtgrolr edmcgs ln e 9
sohgs.
e. :7 j. 2>
e. 7
j. >
b.
h. 6
=
596. Ro`pcony;
b. 87 e.
h. 77
b. 59?. 595. E trepgzloh wflsg fgomft os 5: b` edh wflsg jesgs erg 29 b` edh 86 b` e. 596
j. :28
b. 55=
h. 8>6
j.
h.
87 52 87
Ygrnlr`
tfg
87 52
odhobetgh
lpgretold;
e. 6:
j. 2>
b. 59
h. 28
559. M(x)0:x+= edh n(x)02x-7. Nodh (n l m) (x)
59:. Xfg prlhubt ln : wflcg du`jgrs os 2>,
e. >x-5>
edh tfgor retol os 5;8. ]fobf ln tfgsg os tfg s`eccgr du`jgr
58
: 7 + 2 > 8 5 √ 7 2
=9ý=x7+>8ý8x:;
rgspgbtovgcy. Nodh ots erge.
j. >x+5>
b. >x-2
h. >x+2
555. Nodh tfg su` ln 05Q2 + √ 57P ?
e. ?
j. 2
b. 5:
h. :
592. Xfg su` ln twl du`jgrs os 86 edh tfgrg honngrgdbg os 5:. ]fet erg tfg du`jgrs< e. 5: 89
j.
b. 57 2>
h. >9 edh 5:
598. Xfg vlcu`g ln e bujg os gquec tl ots surnebg erge. ]fet os tfg ghmg ln tfg bujg< bujg< e. 8
j. >
b. 6
h. 5:
597. Flw `edy bujob `gtgrs ln sedh wocc jg
e. 5=5
j. :9=
b. 5=:
h. ?9
55:. ]fobf sgt ln du`jgrs `ey jg tfg cgdmtfs ln tfg sohgs ln e troedmcg< e. 7, 8, 5
j. 7, 8, >
b. 7, 8, ?
h. 7, 8, 59
552.
Xfg
prlhubt
ln
(: = + 2)
edh
(: = √ 2). e. 55
j. :7
b. 2=
h. 9
558. On clm2x 0 -: edh clm :y 0 -2, wfet os x+y<
rgquorgh tl nocc e rgbce`etold erge > fgbtergs
e. -7
wotf 5.7 `gtgrs hgptf<
b.
j. ?9,999 bujob `gtgrs
ln tfg stuhgdts erg ejcg tl pess tfg sujkgbt.
nomurg<
e. ?9,?99 bujob `gtgrs
5:
plcymld os ?99 . Hgtgr`odg tfg du`jgr ln
599. Flw `edy squergs erg tfgrg od tfg
=
j. 5: h.
: 5=
557. ]fobf ln tfg nlcclwodm bed jg tfg `gesurgs ln e romft troedmcg<
@EXFG@EXOBR YEZX 5 e. 7, >, = b.
6, 57, 5=
j. =, 5:, 52
e. Rquerg wotf sohg ::b`
h. 2, ?, 5:
j. Zgbtedmcg wflsg sohgs erg :: edh
55>. Flw `ubf rojjld rg`eods on >> pogbgs
:2b`
ln 52.7 b` od cgdmtf erg but nrl` e := ` cldm
b. Borbucer pozze wotf wotf rehous 52 b`
rojjld<
h. Gquoedmucer troedmcg wotf e :8b` sohg e. 569? b`
j. 6?5 b`
55?. On 2d ‒ p 0 `, d 0 2p, p 0 7, wfet os tfg
b. 56?5 b` h. ?65 b` 55=. On e nudbtold os hgnodgh jy tfg sgt ln
vecug ln ` e. 79
j. -89
lrhgrgh peors (5,:) (:,8) (2,6) (8,5>) (7,y)
b. 89
h. -79
5:9. ]fet os tfg vecug wfgd 6.7> os `uctopcogh
tfgd tfg vecug ln y os; e. 59
j. 2:
b. :9
h. :7
556. ]fobf ln tfg nlcclwodm fes tfg cermgst pgro`gtgr<
jy 59 tl tfg soxtf plwgr< e. 67>9
j. 67>999
b. 67>99
h. 67>9999
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