52. 47MwYZ
)84158(8 2
= )841564(8
= 1638
= 1304
D`vniY 16| 0132
aa n‡j, 3
3 1
a
a Gi gvb KZ ?
mgvavb : †`Iqv Av‡Q, 0132
aa
ev, aa 312
ev, 3
12
a
a
ev, 3
12
aa
a
ev, 3
1
a
a
cÖ`Ë ivwk = 3
3 1
a
a
=
a
a
a
a
a
a
11
3
1
3
= ]3
1
[333
3
a
a
= 3333
= 0
D`vniY 17| mij Ki : ))(())(())(( 222222
acacaccbcbcbbababa
mgvavb : ))(())(())(( 222222
acacaccbcbcbbababa
= 333333
accbba
= 0
D`vniY 18| hw` 23a nq, Z‡e cÖgvY Ki †h, .318
1
3
3
a
a
mgvavb : †`Iqv Av‡Q, 23a
23
11
a
=
2323
23
[je I ni‡K 23 Øviv ¸Y K‡i]
= 22
23
23
=
23
23
= 23
77. 72 MwYZ
m~Î 3| nnn
baab)(
j¶ Kwi, ]25;[)25()25()25()25( 33
aaaaa
33
25
222555
252525
)()(
mvaviYfv‡e, ababababab n
.......)( [ n msL¨K ab Gi µwgK ¸Y]
nn
ba
bbbbaaaa )........().......(
m~Î 4| )(, 0b
b
a
n
nn
b
a
j¶ Kwi, 3
33
2
5
222
555
2
5
2
5
2
5
2
5
mvaviYfv‡e,
b
a
b
a
b
a
b
a
b
a n
........ [ n msL¨K
b
a
Gi µwgK ¸Y]
n
n
b
a
bbbb
aaaa
......
......
m~Î 5| )(, 010
aa
Avgiv cvB, 0
aa
a
a nn
n
n
Avevi,
aaaa
aaaa
a
a
n
n
.....
.....
[je I ni Dfq‡¶‡Î n msL¨K a Gi ¸Y]
1
.10
a
m~Î 6| )(, 0
1
a
a
a
n
n
Avgiv cvB,
n
nn
n
a
a
a
a
1
[je I ni‡K n
a Øviv ¸Y K‡i]
nn
o
n
nn
aa
a
a
a 1
n
n
a
a
1