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gd'gf k|Zgx¿
s_ tn lbOPsf k|Zgx¿sf] ;ª\lIfKt pQ/ lbg'xf];\ M
!) � % = %)
1. b'O{cf]6f ;d"x A = {2,3,5,7,9} / B = {1,7,9,11} 5g\ . tL ;d"xsf] ;+of]hg (union) /
k|ltR5]bg (intersection) nfO{ e]glrqsf] k|of]u u/L s;/L lzIf0f ug'{x'G5,
n]Vg'xf];\ .
2. kf7\oqmdsf] lgdf{0f ubf{ cg';/0f ug'{kg]
{ cfwf/x¿ s]s] x'g\ tL dWo] s'g} rf/cf]6f cfwf/x¿
n]Vg'xf];\ .
3. ‖ul0ft ljifo eg]sf] lx;fa u/]/ pQ/ lgsfNg] xf]‗ eg]/ sIffdf Psb'O{cf]6f lx;fa af]8{df
ul/lbP/ ;f]xLcg';f/ ljBfyL{nfO{ lx;fa ug{ nufpg] u/]sf Ps ul0ft lzIfsnfO{ ul0ftLo wf/0ff
:ki6 kfg{ z}lIfs ;fdu|Lsf] k|of]u ug{ 'kg] { cfjZostf af]w s;/L u/fpg'x'G5, n]Vg'xf];\ .
4. ul0ft lzIf0fdf z}lIfs ;fdu|Lsf] k|of]u lsg ul/G5 < rf/cf]6f a'―bfdf
n]Vg'xf];\ .
5. # lsnf] ;'Gtnfsf] d"No ?= !@) k5{ eg] % lsnf] ;'Gtnfsf] d"No slt knf{ < pQm ;d:ofnfO{
;d:of ;dfwfg ljlwaf6 s;/L lzIf0f ug'{x'G5
< ;lj:tf/ n]Vg'xf];\ .
6. Jofjxfl/s jf ljlzi6 p2]Zo eg]sf] s] xf] < ;d"x (set) kf7df cfwfl/t eP/ 1fg, af]w /
;d:of ;dfwfg txsf PsPscf]6f Jofjxfl/s p2]Zo lgdf{0f ug'{xf];\
.
7. ul0ft lzIf0f ug{sf nflu sIff ^ df hf―bf tkfO{
―nfO{ ljBfyL{n] ;f]w] M -5 × -7 = -35 geP/
lsg +35 ePsf] ;/ < ljBfyL{sf] lh1fzf zfGt kfg{sf nflu o;sf] hjfkm s;/L lbg'x'G5 <
8. x 2 +5x+6 sf] v08Ls/0f wf/0ff Jofjxfl/s ljlwaf6 ljBfyL{nfO{ s;/L lbg ;lsG5 < lrq;lxt
n]Vg'xf];\ .
9. tkfO{
+ Ps tflndk|fKt ul0ft lzIfssf] x}l;otn] ul0ft ljifosf] kf7\oqmd, kf7\ok':ts / lzIfs
lgb] {lzsfnfO{ s;/L pkof]u ug'{x'G5
<
10. (a 2 - b 2 ) = (a +b) (a -b) s;/L x'G5 eGg] ga'e]msf ljBfyL{nfO{ ‖of] Pp6f ;"q xf], o;nfO{ s07
kf/]/ lx;fa ubf{ ;"q nufpg'k5{‗ eg]/ lzIf0f ul//x]sf Ps ul0ft lzIfssf] ;6\6fdf tkfO{ +n]
lzIf0f ug'{k/]df
;f] ;"q s;/L cfp―5 egL ljBfyL{nfO{ s;/L a'emfpg'x'G5 < lrq;lxt n]Vg'xf];\ .
11. (a + b) 2 = a 2 + 2ab + b 2 x'G5 egL k|of]ufTds ¿kaf6 s;/L a'emfpg'x'G5 < lrq;lxt
n]Vg'xf];\ .
12. lqe'hsf cfwf/sf sf]0fx¿ a/fa/ x'G5g\ eGg] tYonfO{ cfudg ljlwsf] k|of]u u/L k|dfl0ft
ug'{x'G5
<
13. ;djfx' lqe'hsf] lzIf0f k|efjsf/L ¿kdf s;/L ug{ ;lsG5 < r/0fx¿ pNn]v ug'{xf];\
.
14. sIff * df HofldtL lzIf0f ubf{ æb'O{ ;dfgfGt/ /]vfx¿nfO{ Pp6f 5]bsn] sf6\bf aGg] PsfGt/
sf]0fx¿ a/fa/ x'G5g\Æ eGg] tYonfO{ cfudg ljlwåf/f s;/L lzIf0f ug'{x'G5
< pbfx/0f;lxt
k|:6 kfg'{xf];\
.
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