Aa¨vq wfwËK

Gm Gm wm g‡Wj †U÷
‡mUt ‡mvnvM welqt MwYZ Aa¨vqt 2.1
mgqt 40 wgwbU ‡kÖwY: c~Y©gvbt 40
wkÿv_©xi bvgt ............................................................... †ivj bs ...................
[we:`ª: mwVK Dˇii e„ËwU ej c‡q›U Kjg Øviv m¤ú~Y© fivU Ki| cÖwZwU cÖ‡kœi gvb-1]
1| A = {x : x c~Y© msL¨v Ges x2 17} †mUwU‡K ZvwjKv 10| A = {x  N : 2  x  7} n‡j, A †K ZvwjKv
c×wZ‡Z cÖKvk Ki‡j nq- c×wZ‡Z cÖKvk Ki‡j wb‡Pi †KvbwU mwVK?
(K) {1, 2, 3, 4} (L) {0, 1, 2, 3, 4} (K) {2, 3, 7} (L) {2, 3, 4, 5, 6, 7}
(M) {−4, −3, −2, −1, 0, 2, 3,4} (M) {3, 4, 5, 6} (N) { }
11| ¯^vfvweK msL¨vi †mU‡K Kx Øviv cÖKvk Kiv nq?
(N) {................ −4, −3, −2, −1, 0}
(K) R (L) N
2| ‡KvbwU Amxg †mU?
(M) Q (N) Z
(K) {x : x  Z Ges x  4} 12| {x  N : 7 x7} ‡mUwUi ZvwjKv iƒc †KvbwU?
(L) {y : y  Z Ges y2 100 y3} (K) {6} (L) {7}
p
(M) { : p I q mn‡gŠwjK Ges q 1} (M)  (N) {}
q 13| A = {x, y, z} n‡j, P (A) Gi Dcv`vb msL¨v KqwU?
(N) {y: y  Z Ges y  −10 y I  10} (K) 16 wU (L) 15 wU
3| A = {} n‡j, P (A) -Gi Dcv`vb msL¨v KqwU n‡e? (M) 3 wU (N) 8 wU
(K) 0 (L) 1wU 14| (3x + 2y, 6) = (4, 2x −2y) Dc‡ii µg‡Rvo w`‡q
MwVZ mgxKiY ‡Kvb¸‡jv?
(M) 2wU (N) 3wU
(K) 3x + 2y = 4, 2x−2y = 6
4| {x  N : 9 x10} ‡mUwUi ZvwjKv iƒc †KvbwU?
(L) 3x + 2x = 4, 2y−2x = 6
(K) {0} (L) {10}
(M) 3x + 2y = 6, 2x−2y = 4
(M) {9, 10} (N)  (N) 3x + 2y = 4, 3x−2y = 6
5| {a, b, c, d} Gi KqwU cÖK…Z Dc‡mU n‡e hvi cÖ‡Z‡Ki 15| {x  N : 6 x7} ‡mUwUi ZvwjKv iƒc †KvbwU?
wZbwU K‡i Dcv`vb i‡q‡Q? (K) {6} (L) {7}
(K) 2 wU (L) 3 wU (M)  (N) {}
(M) 4 wU (N) 6 wU 16| x 0 Ges x = 4x n‡j, x Gi gvb KZ n‡e?
2

6| {x N : 6  x  7} = KZ? (K) 4 (L) 3

(K) {6} (L)  (M) 2 (N) 5
(M) {7} (N) {6, 7} 17| {x  N : 5  x  6} Gi ZvwjKv iƒc †KvbwU?
7| A = {x : x  5} Ges B = {x : x  5} n‡j, AB (K)  (L) {5}
=? (M) {6} (N) {5, 6}
18| ¯^vfvweK msL¨v †m‡Ui ÿz`ªZg m`m¨ †KvbwU?
(K)  (L) { }
(K) 0 (L) 1
(M) {x : x  5} (N) {5}
(M) 9 (N) ‡bB
8| A = {1, 2, 3, 4} n‡j, A †m‡Ui cÖK…Z Dc‡mU KqwU?
19| 20− x− x Gi x Gi mnM KZ?
2 2
(K) 4 (L) 14 (K) −1 (L) 0
(M) 15 (N) 16 (M) 1 (N) 2
9| C = {3, 4, 5}, D = {4, 6, 8} n‡j, (CD) wb‡Pi 20| A = {3, 4, 5}, B ={4, 5, 6} n‡j, P(AB)=?
†KvbwU? (K) {{2, 4, 5}, {4}, {5}, }
(K) {5} (L) {4, 8} (L) {{4}, {5}, } (M) {{4, 5}, {4}}
(M) { } (N) {3, 4, 5, 6, 8} (N) {{4, 5}, {4} {5}}
21| A = {2, 3, 4}, B ={1, 2, 9}, C = {2, 4, 9} n‡j, wb‡Pi †KvbwU mwVK?
(AB)C ‡mU †KvbwU? (K) i I ii (L) i I iii
(K) {2} (L) {2, 4} (M) ii I iii (N) i, ii I iii
(M) {2, 3, 4, 9} (N) {1, 2, 3, 4,9} 33| A = {a, b, c}, B= {a, b, c, p, q} n‡j P(A/B)-
22| {x  N : x2  15} Ges x2  225 †mUwUi ZvwjKv i. GKwU duvKv †mU ii.Gi Dcv`vb msL¨v k~b¨
c×wZi †mU †KvbwU? iii.Gi Dcv`vb msL¨v 1
(K) {1, 2, 3} (L) {2, 3, 4} wb‡Pi †KvbwU mwVK?
(M) {4, 5, 6} (N) {5, 6, 7} (K) i I ii (L) i I iii
23| 2x + y = 8 Ges x−y = 1 n‡j (x, y) Gi gvb wb‡Pi (M) ii I iii (N) iii
†KvbwU? 34| B ‡m‡Ui cÖK…Z Dc‡mU A n‡j-
(K) (3, 2) (L) (2, 3) i. A  B = A ii. A  B = B
(M) (4, 3) (N) (3, 4) iii. A −B = 
24| p, q, r ‡gŠwjK msL¨v n‡j (j. mv. ¸., M. mv. ¸.) KZ? wb‡Pi †KvbwU mwVK?
(K) (p, q, r) (L) (pqr, 1) (K) i I ii (L) i I iii
(M) (1, pqr) (N) (pr, q) (M) ii I iii (N) i, ii I iii
25| A = {1, 2, 3, 4, 5, 6} Gi KqwU Dc‡mU Av‡Q?
35| AB = {1, 2, 3} n‡j-
(K) 32 wU (L) 36 wU
i. A = {1}, B = {2, 3}
(M) 64 wU (N) 48 wU
ii. A = {1, 2, 3}, B = {1, 3}
26| A = {4, 5, 6} Ges B= {5, 6, 7} n‡j, AB Gi
iii. A = {2, 3}, {1, 2, 3}
Dcv`vb msL¨v KqwU?
wb‡Pi †KvbwU mwVK?
(K) 3 wU (L) 6 wU
(K) i I ii (L) i I iii
(M) 12 wU (N) 9 wU
27| hw` A= {a, b, c}, B = {d, e, f} nq Z‡e P (A−B) (M) ii I iii (N) i, ii I iii
Gi m`m¨ msL¨v KZ? wb‡Pi Z‡_¨i Av‡jv‡K 36-38bs cÖ‡kœi DËi `vI:
(K) 9 (L) 8 A = {1, 2, 3} Ges B={2, 3, 4}
(M) 7 (N) 6 36| P(B) Gi m`m¨ msL¨v KZ?
28| A = {xN : 1  x  10}, ‡m‡Ui AšÍM©Z †gŠwjK (K) 3 (L) 6
msL¨v¸‡jvi †mU †KvbwU? (M) 7 (N) 8
(K) {1, 2, 5, 10} (L) {2, 4, 6, 8} 37| A ‡m‡Ui cÖK…Z Dc‡mU msL¨v KZ?
(M) {3, 5, 7, 9} (N) {2, 3, 5, 7} (K) 3 (L) 6
29| U = {3, 4, 5, 6}, C = {3, 4, 5, 6} n‡j wb‡Pi (M) 7 (N) 8
†KvbwU mwVK? 38| A−B wb‡Pi †KvbwU?
(K) C = {} (L) C= {3, 4} (K) {1} (L) {4}
(M) C  U (N) C = {4, 5} (M) {2, 3} (N) {1, 2, 3, 4}
30| C = {3, 5} Ges D = {2, 4} n‡j C D †m‡Ui wb‡Pi wP‡Îi Av‡jv‡K 39 I 40bs cÖ‡kœi DËi `vI:
KqwU Dcv`vb n‡e?
(K) 2 (L) 4
(M) 8 (N) 16
31| wbw`©ó †mU‡K Av‡jvPbvaxb mKj †m‡Ui Kx ejv nq?
(K) Dc‡mU (L) c~iK †mU 39| A−B ‡mU wb‡Pi †KvbwU?
(M) mvwe©K †mU (N) kw³ †mU (K) {1, 2, 3} (L) {2, 4, 7}
32| A = {p, q, r}, B = {r, s, t} Ges C = {a} n‡j, (M) {4, 7, 8} (N) {5, 6, 2}
i. (A−B)  C Gi Dcv`vb msL¨v 2wU 40| AB ‡mU wb‡Pi †KvbwU?
ii. (B−A)A = {p, q, r, s, t} (K) {1, 2, 3} (L) 
iii. P(A−B) = {{r},} (M) {4, 7, 8} (N) {5, 6}
 Aa¨vq wfwËK
Gm Gm wm g‡Wj †U÷
‡kÖwY: welqt MwYZ Aa¨vqt 2.1
DËi cÎ
1-M 2-L 3-L 4-N 5-M 6-L 7-N 8-M 9-N 10-L
11-L 12-M 13-N 14-K 15-M 16-M 17-L 18-L 19-K 20-K
21-N 22-M 23-K 24-L 25-M 26-N 27-L 28-N 29-K 30-L
31-M 32-L 33-N 34-N 35-N 36-N 37-N 38-K 39-K 40-L