NALANDA
NALANDA - fld<U
kd,kaod úoHd,h
10 VIDYALAYA
NALANDA
VIDYALAYA
NALANDA
VIDYALAYA
NALANDA
10 fY%aKsh
1)
NALANDA VIDYALAYA
VIDYALAYA
tall
mÍlaIK jHdmD;sh
tallh( 18 - l=,l I
.Ks;h
VIDYALAYA
my; § we;s fjka rEmfha wod, m%foaYh w÷re lr olajkak'
A
(A B)'
B
2)
my; fjka rEm igyk Ndú;fhka A' l=,lfhys wjhj ,shd olajkak'
a
i
b
A
c
e
o
A' = {...............................................}
d
u
3)
B = {x : x Z, - 1 < x 3 } fõ' l=,lfha wjhj ,shd olajkak'
4)
my; ±lafjk fjka rEmfha § we;s f;dr;=re weiqßka A l=,lh wjhj iys;j ,shd olajkak'
6
A
7
5)
3
9
5
A = ...........................................
B
1
my; ±lafjk fjka rEmfhys (A B)' m%foaYh w÷re lr olajkak'
B
A
6)
= {1, 2, 3, 4, 5, 6, 7}, A = {2, 4, 6}, B' = {1, 4, 6} kï B l=,lfha wjhj ,shd olajkak'
1
7)
§ we;s fjka rEmfha n(A) = 10, n(B) = 5 fõ'
n(A B) fidhkak'
n(A B) fidhkak'
i)
ii)
B
A
8)
B = {x : x m%:ul ixLHdjls" 1 < x < 10}
B l=,lh wjhj weiqßka ,shd olajkak'
9)
my; § we;s m%foaYh fjkarEm igyk ;=< w÷re lr olajkak'
A' B
B
A
10)
rEmfha § we;s f;dr;=re wkqj
i)
A B l=,lh wjhj iys;j ,shd olajkak'
ii)
n (A B) ys w.h fidhkak'
4
3
1
A
2
5
6
B
II fldgi
1)
isiqka 50 fofkl= isák mx;shlska ;uka jvd;a leu;s l%Svdj ms<sn| úuid neÆúg" isiqka ,nd
ÿka f;dr;=re weiqßka w¢k ,o wiïmQ¾K fjka igykla my; ±lafõ'
neâñkagka l%Svdjg leu;s isiqka 35ls' iafldIa l%Svdjg leu;s ish¨u isiqka neâñkagka
l%Svdjg;a leu;s jk w;r tu msßi 20 ls'
B
B = {neâñkagka l%Svdjg leu;s isiqka }
S = {iafldIaj,g leu;s isiqka }
S
i)
ii)
iii)
iv)
by; § we;s f;dr;=re fjka rEmfha olajkak'
neâñkagka l%Svdjg muKla leu;s isiqka ±lafjk fmfoi by; fjka rEmfha w÷re lr
olajkak'
B yd S l=,l fol w;r iïnkaO;dj l=,l wxlkfhka olajkak'
neâñkagka yd iafldIaj,g wu;rj fjk;a l%Svdj,g leu;s isiqka .Kk fidhkak'
2
2)
uyr.u isg fld<U n,d .sh niar:hl .uka l< u.Ska 50 l f.ka 18 fofkla uqj wdjrK
me<| isá kuq;a ysia jeiqï me<| fkd;snqKs' .ukg iyNd.s jQ msßfika 60] la ysia jeiqï
me<| isá w;r bka 20 fofkl=u uqj wdjrK me<| isáfhdah'
H ^f;dmams&
F
^uqj wdjrK&
i)
ii)
iii)
iv)
3)
by; § we;s f;dr;=re fjka rEmfha olajkak'
ysia jeiqï m<|d we;;a uqj wdjrK m<|d ke;s u.Ska .Kk lSho@
uqj wdjrK yd ysia jeiqï foj¾.hu me<| we;s u.Ska .Kk lSho@
by; m<|kd tllaj;a me<| ke;s u.Ska .Kk lSho@
f¾.= ks,OdÍka n|jd .ekSfï ;r. úNd.hlg uqyqK ÿka wfmalaIlhka 40 fofkl=f.ka
.Ks;h yd idudkH ±kSu m%Yak m;% i|yd idud¾:h ,o wfmalaIlhskaf.a .Kk ms<sn|
f;dr;=re my; fjka rEm igyfka ±lafõ'
M
14
6
G
10
y
M = { .Ks;h iu;a wfmalaIlhka }
G = { idudkH ±kSu iu;a wfmalaIlhka }
i)
ii)
iii)
iv)
v)
vi)
.Ks;h iu;a wfmalaIlhska .Kk lSh o@
.Ks;h yd idudkH ±kSu iu;a wfmalaIlhska .Kk lSh o@
.Ks;h muKla iu;a wfmalaIlhska .Kk lSh o@
.Ks;h fyda idudkH ±kSu iu;a wfmalaIlhska .Kk lSh o@
idudkH ±kSu muKla iu;a wfmalaIlhska .Kk lSh o@
fuys y u.ska ±lafjk wfmalaIlhka .Kk lSh o@
3
0