MCQ Bank

Subjects
All Subjects 1292 ACC311
F:210
210
ACC31Q
F:97
97
ACC501
F:248
248
BIF101
F:37
37
BIF401
F:27
27
BIF501
F:63
63
BIF602
F:3
3
BIF604
F:67
67
BIO101
F:17
17
BIO401
F:24
24
BIO503
F:48
48
BIO504T
F:12
12
BIO5101
F:25
25
BIO5105
F:18
18
BIO732
F:49
49
BNK601
F:129
129
BNK610
F:69
69
BNK611
F:102
102
BT101
F:80
80
BT102
F:53
53
BT201
F:246
246
BT301
F:30
30
BT302
F:35
35
BT401
F:163
163
BT402
F:37
37
BT403
F:43
43
BT404
M:9
9
BT405
F:41
41
BT406
F:106
106
BT501
F:141
141
BT503
F:74
74
BT504
F:67
67
BT505
F:68
68
BT511T
F:27
27
BT601
F:69
69
BT603
F:21
21
BT604
F:19
19
BT605
F:58
58
BT614T
F:37
37
CHE201
F:77
77
CS001
F:58
58
CS101
F:166
166
CS201
M:97 F:247
344
CS201P
F:200
200
CS202
F:192
192
CS204
F:77
77
CS205
F:87
87
CS206
F:57
57
CS301
F:141
141
CS301P
F:63
63
CS302
F:192
192
CS304
F:89
89
CS304P
F:147
147
CS306
F:75
75
CS311
F:132
132
CS312
F:47
47
CS314
F:84
84
CS315
F:57
57
CS401
F:117
117
CS402
M:67 F:140
207
CS403
F:162
162
CS403P
F:120
120
CS405
F:70
70
CS406
F:28
28
CS407
F:70
70
CS408
F:76
76
CS409
F:43
43
CS411
F:100
100
CS420
F:106
106
CS432
F:80
80
CS435
F:46
46
CS441
F:73
73
CS442
F:29
29
CS501
F:120
120
CS502
F:156
156
CS504
F:179
179
CS505
F:49
49
CS506
F:196
196
CS507
F:165
165
CS508
F:227
227
CS510
F:63
63
CS521
F:26
26
CS525
F:25
25
CS601
F:137
137
CS602
F:105
105
CS603
F:62
62
CS604
F:177
177
CS605
F:82
82
CS606
F:194
194
CS607
F:134
134
CS609
F:89
89
CS610
F:126
126
CS611
F:78
78
CS614
F:126
126
CS615
F:121
121
CS620
F:62
62
CS621
F:38
38
CS625
F:27
27
CS626
F:30
30
CS627
F:39
39
CS636
F:40
40
ECE302
F:21
21
ECO302
F:36
36
ECO303
F:20
20
ECO401
F:383
383
ECO402
F:99
99
ECO403
F:137
137
ECO404
F:129
129
ECO603
F:53
53
ECO606
F:108
108
ECO607
F:182
182
ECO609
F:48
48
ECO610
F:74
74
ECO613
F:50
50
ECO616
F:68
68
EDU101
F:72
72
EDU301
F:20
20
EDU302
F:57
57
EDU303
F:113
113
EDU304
F:33
33
EDU305
F:88
88
EDU401
F:117
117
EDU402
F:46
46
EDU403
F:37
37
EDU405
F:87
87
EDU406
F:75
75
EDU410
F:65
65
EDU411
F:312
312
EDU430
F:147
147
EDU431
F:62
62
EDU433
F:66
66
EDU501
F:42
42
EDU505
F:41
41
EDU510
F:15
15
EDU512
F:86
86
EDU515
F:12
12
EDU516
F:54
54
EDU601
F:129
129
EDU602
F:52
52
EDU604
F:103
103
EDU654
F:25
25
EDU705
F:26
26
EDUA430
F:77
77
ENG001
F:417
417
ENG101
F:344
344
ENG201
F:289
289
ENG301
F:340
340
ENG501
F:73
73
ENG502
F:55
55
ENG503
F:31
31
ENG504
F:44
44
ENG505
F:68
68
ENG506
F:60
60
ENG507
F:64
64
ENG508
F:61
61
ENG509
F:50
50
ENG510
F:41
41
ENG511
F:102
102
ENG512
F:44
44
ENG513
F:35
35
ENG514
F:57
57
ENG515
F:37
37
ENG516
F:50
50
ENG517
F:38
38
ENG518
F:65
65
ENG519
F:64
64
ENG520
F:40
40
ENG522
F:92
92
ENG523
F:76
76
ENG524
F:48
48
ENG529
F:34
34
ETH100
F:145
145
ETH201
F:20
20
FIN611
F:113
113
FIN621
F:168
168
FIN622
F:162
162
FIN623
F:203
203
FIN624
F:99
99
FIN625
F:96
96
FIN630
F:217
217
FIN702
F:56
56
GSC101
F:423
423
GSC201
F:47
47
HRM624
F:220
220
HRM627
F:300
300
ISL201
F:39
39
ISL202
F:903
903
IT430
F:280
280
IT601
F:31
31
IT602
F:33
33
MB502T
F:67
67
MCD403
F:20
20
MCD504
F:80
80
MCM101
F:98
98
MCM301
F:66
66
MCM304
F:52
52
MCM310
F:114
114
MCM311
F:96
96
MCM401
F:108
108
MCM411
F:76
76
MCM431
F:118
118
MCM501
F:105
105
MCM511
F:44
44
MCM514
F:21
21
MCM515
F:21
21
MCM516
F:55
55
MCM517
F:68
68
MCM520
F:67
67
MCM532
F:42
42
MCM601
F:99
99
MCM604
F:115
115
MCM610
F:85
85
MGMT611
F:205
205
MGMT623
F:160
160
MGMT625
F:126
126
MGMT627
F:130
130
MGMT628
F:234
234
MGMT629
F:99
99
MGMT630
F:112
112
MGT101
F:330
330
MGT111
F:197
197
MGT201
F:110
110
MGT211
F:175
175
MGT301
F:215
215
MGT401
F:30
30
MGT402
F:107
107
MGT404
F:135
135
MGT411
F:194
194
MGT501
F:396
396
MGT502
F:555
555
MGT503
F:325
325
MGT504
F:214
214
MGT510
F:561
561
MGT513
F:80
80
MGT520
F:231
231
MGT522
F:116
116
MGT601
F:121
121
MGT602
F:270
270
MGT603
F:330
330
MGT604
F:123
123
MGT605
F:66
66
MGT610
F:231
231
MGT611
F:122
122
MGT613
F:220
220
MGT713
F:44
44
MIC501T
F:40
40
MKT501
F:250
250
MKT530
F:71
71
MKT610
F:83
83
MKT621
F:94
94
MKT624
F:114
114
MKT630
F:127
127
MTH001
F:276
276
MTH100
F:216
216
MTH101
F:1292
1292
MTH102
F:32
32
MTH104
F:64
64
MTH201
F:68
68
MTH202
F:238
238
MTH301
F:406
406
MTH302
F:778
778
MTH303
F:160
160
MTH304
F:35
35
MTH401
F:226
226
MTH403
F:147
147
MTH404
F:41
41
MTH405
F:132
132
MTH501
F:366
366
MTH601
F:266
266
MTH603
F:160
160
MTH621
F:105
105
MTH622
F:62
62
MTH631
F:167
167
MTH632
F:97
97
MTH633
F:54
54
MTH634
F:67
67
MTH641
F:179
179
MTH642
F:76
76
MTH643
F:22
22
MTH645
F:63
63
MTH646
F:91
91
PAK301
F:155
155
PAK302
F:131
131
PAK522
F:51
51
PHY101
F:626
626
PHY301
F:95
95
PSC201
F:85
85
PSC401
F:48
48
PSY101
F:409
409
PSY401
F:166
166
PSY402
F:43
43
PSY403
F:262
262
PSY404
F:137
137
PSY405
F:174
174
PSY406
F:244
244
PSY407
F:175
175
PSY408
F:207
207
PSY409
F:143
143
PSY502
F:264
264
PSY504
F:126
126
PSY505
F:108
108
PSY511
F:69
69
PSY512
F:192
192
PSY513
F:175
175
PSY514
F:104
104
PSY515
F:140
140
PSY516
F:88
88
PSY610
F:81
81
PSY611
F:132
132
PSY631
F:116
116
PSY632
F:180
180
PSYP402
F:90
90
PSYP631
F:185
185
SE601
F:21
21
SE602
F:36
36
SOC101
F:1279
1279
SOC201
F:191
191
SOC301
F:63
63
SOC302
F:94
94
SOC401
F:143
143
SOC404
F:109
109
SOC609
F:82
82
SOC617
F:59
59
STA301
F:402
402
STA302
F:34
34
STA630
F:298
298
STA641
F:87
87
URD101
F:158
158
ZOO102
F:9
9
ZOO103
F:10
10
ZOO403
F:50
50
ZOO501
F:23
23
ZOO502
F:9
9
ZOO503
F:153
153
ZOO504
F:139
139
ZOO505
F:27
27
ZOO507
F:21
21
ZOO510
F:136
136
ZOO518T
F:20
20
ZOO519T
F:17
17
Koi subject nahi mila
MTH101 — PDF
Is subject ke saare MCQs ek PDF file mein download karne ke liye request karein.
1292 result(s)
MTH101 Final Term Unsolved
Q380

$\int\limits_a^b {f(x)dx} \, = \,\_\_\_\_\_\_\_\_.$

  • A) $\int\limits_a^b {f(z)dz}$
  • B) $\int\limits_b^a {f(x)dx}$
  • C)
  • D)
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q381

If the definite integral of f(x)=3 over [1,x] is greater than ‘12’ then -----

  • A) x>5
  • B) x>1
  • C) x>3
  • D) x>12
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q382

The volume of cylindrical shell for R = 2, r = 1 and h = 2 is -----------

  • A) 5*pi
  • B) 6*pi
  • C) 3*pi
  • D) 4*pi
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q383

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  • A) data:image/png;base64,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.
  • B) data:image/png;base64,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.
  • C) data:image/png;base64,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.
  • D) data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKQAAAAZCAYAAAC/4YXqAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAQxSURBVHhe7dcNTSVLEAVgLKABC3hAAhqwgAMc4AAFKMAABnCAh3n5svckld7u+bksl+FlTjLZS3d1/Zw61TN7NR04sCMcgjywKxyCPLArHII8sCv8U0G+vb1N9/f30/v7+2llHk9PT9PDw8P08fFxWjnwE9hT3zYJUiLX19fT1dXV9Pj4eFr9g5eXl+n29nb6/Pw8rawDMm5ubhbJeH5+Xk3YXqFW3O0J3923rVjNDjFKQOJ+ewLJEerWooIUNzpvEvknyt+MJUEacgK5FL67b+dglSAFlPiIrLu7uy+LxZRWkf8fsSRIPF6Sgz32bZUgJY3I3jeDtdHeFohh2kYQQ0MDt0k+H5x7fX097fwNA+Ubia2n/V6y75so+3wjWcOCnlisVZv4qXnVIZ4TZGLnqbH8Hvk8F5fq21YsChLhlSjEVCDHeg+aLllnUrhm94hIs0bXv70IUszqMzmMyDXFhMJ3RFNJzN/820cy/1sFyY9Yo7zmBAm9GPhKbmDw5DY3gID7DKHz/NZc5/oWftUCOHG2chYs9W0rFgUJiFZcD22hFciUaAjhR7E9pLAQ36LuZSqrAPnvCTJ+W1R/frd5ybXW1ROLtWqj3tZPjTPKJejFIIzWpzgRSw94cE4N+PeI61ww6htbdnw4Q/jsRv95SU2p8atYJcgIqodRYRUK5GMkRlgqrO4hTUxrGhMCe8jnRu/hbxS3rcvvlgNrbe1qzFlP9Z1YI7QxiKCXmxhzflwebV7s6626pm+49YzECCP+zsWiIDMpo4AKm5tWQMQcgbBUWG8PUQQnvhuhJ8oIcoRR09uGtWIBa9UmDSQY/nIzxbd/53JpY4xyW+LTXh3++JFPsKZvBr3W10NqanM8F4uCXGro0rQiId8yayatklZRi0ZUJRxGt3ia0YoV0cnHfutv6yu7J56vChK2vrITo+bBb2u/1Df1OCP+HBJv1LetWBRk7/qvyA3au50k6WyKQ6QCWoJBI4hqhEpy+w3Jf69xgdie2IvFPiQSH3/8WMt+rTs2cvCopdpEfHIDscSsefvX3+L0IIYztbniJC64HcWtr9+K9EMe/Divh3xXxC6cVMhPXbERCyc927Zv7Of0soRFQSpe0DlIoLWpTYbctC0xgUbMxXE2TYEIwro4c2c1Rly2HrGqKOznFueTb/4qsWz8HRv7rY2BSE7WxfC7zdtaL1/2amn3/a61jgYvSIzkMDpjv82DrfUMRXiZG/bqI3HPxawgQ2htXg8IR1iK2AoTiIhzz38HkPwVYn8CeCTGCkLSwx63e+zbrCBNhwlYA4W3r5s1yAQvif7S+I2ClK+eBRFcK9KKvfVtKMh65a8FAhCy9ozXuFdp79vkp/EbBYl34tI7D8G0r+Qe9tS3xW/IAwcuiUOQB3aFQ5AHdoVDkAd2hUOQB3aFQ5AHdoRp+g+lPoEXFe2UxAAAAABJRU5ErkJggg==.
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q384

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  • A) data:image/png;base64,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.
  • B) data:image/png;base64,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.
  • C) data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAaYAAAAbCAYAAAA3UiscAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAkFSURBVHhe7ZmBcRU7DEVpgRpogR4ogRpogQ7ogA6ogAIYGqABOqCH/DlMzud+fXl3Sd4+XoLOjCdrryzJsmRvkhd3wzAMw3BDzMU0DMMw3BRzMQ3DMAw3xVxMwzAMw00xF9MwDMNwU8zFNAzDMNwUczHdOF+/fr17+/bt3bdv3+5Htvnw4cPdu3fv7r5//34/8nyYWAzDL6iHFy9e/Nvon8mbN2/+Y+9MWu2fPn36jwNdMwg8I38mHCzXsPMYXr169b/YPBbW+/r167sfP37cjxwD+/hz9AA/gyyaS1wMTzkWt4y1ZTsDPhBS91Y9py/mTTc2/KqxS503FfeN+knqfp5Bqx3DNMExvjyFZ5LKZLnlC+Ma8CVhDHimPRaS7eXLl799EIsH8kPnXwJyqCb1Q3gOsbhVqN+8ALLuL4GHGG0P9shD1jOnG3sOfP78+WdMHpOTxAUdxucMOMtqzN3TM1leTElNCBLZgxgH/+aLya+/S3/JkRAfP3687z0MfsO49EHzO2D7EgfJc4jFLULdUttnc+Qg85BNurFrQ/6e8VsaMeFj6zFc62Kq5/uR/Xwsh7Rvfang4N98MZkcl0zeS112HObXOHhW8P+gx14ozyUWtwgHzK1cTJwhVaYbuyZn1PYlucbFxOVZ/wz+pC4m3vNcN9KDxbYVRHXwM+11G2BwasOe8jzjO8+1AJVHdrU2UZaWsvqbraKf79+/vx/59Wu88FVCH1nYKkj0VH2dDTAOe38uYL5xwhf04COkPfToKz8rqYfY8Lz1v53UDcgyh2Iwh1axSF/0FboxqLHocsQ1qcP3Ypxt7leO4S8o28VJezR1KM+77Fc5ILboTT9tzgfHWGslfaClnzlea4Ox9C3jk2RtKC/GXr/qOvCtG5P0PePCHPOOd3Uvqp4uB3xv3tkyPknNYdBejiXqNEdr3mObZ1rN46TGUchxbDOf9/w88j9W5hE/baujUvfzDA5pJ2g1QcUgmwTImixuuLjZXTITXG0oBwaf5gZUPRYBpLwyNJ71EXl1mcwrmKeselJee92ahD8jZWKnv0BCpA7i1xUCScoausSgr5+ib3U8MfmUUTc+YUt7xgkf8aPar3pWSS3ooFgy/vw8GgvGnZ/vsY9d9CQZC59t2MoxniHzHpl8V/cg1yGd30Jc63t1b9nCBs/5HnhmzLgB81KmwvusT0i9+uG6tFvnVJDPtTkP9JOWvhEPZaQbw7Zr1D9jqd4aA5ogR0s/nJP6QJnUl/xuPYp6zVH+smDeUzf+lWHvz8/qqXaYR8Nv9Hb10JHz7ONbpVvvpTmkPQu0goNuJLDpyrqA2lJeVkGG+g69WRy+N6C1D2kX//aKC7CTBQbo2LNVyUIlQbDNHNdDgpOQ0tlNsJXz6Xfy+qZchYO9vqcoSMjEeJncxCDj1+lhDV1SV7CFrGAj17IXC/dD6Kc+qbGwv8oRwG6X94whm3arPvRkPDpyPqRt6WxlPiXV3873hDjlPnaxNr6ui+fOTzE3M67oTf/rXoB2kjrmvNpcZ7df1lptUPcM6Lu+7n2Ha3Y99Lv9EfTXGlNH/ukb37dirX/aBeSPXkQJdus81pD+SN3PMziknQCtkhwHM3iZHPzsDokVzEUfLe3VDaiJUAtM+Uwo+vrpfFtubIIPNcGqL52tCv6ZiMZEHSSCX0yS8itIIpMGnZ396mulxg3wJS9JQAZZwV7uz0pPzllR/cN29vdi4aXIT1gdCDUW9lc5ApnLwLMyNJ6Tmvt7IGOMaqy2bPGuW2euiedcS0fdt05vjZs+rejiip30v+qELp51jP5qf6HuF1Rfks5X+q6ve7/iSD0K72uNYTMvBubv2e7i2MXgCN08/EndUvfzDA5pJ3lXi82NhFwgC9hKpBXMR6/F2m2AwbHlBiqfY/TTT+nmi34kVXdnq4JdZJD1kOUn49jIdYHyW3iBcCAbp4q+rb6e2Jvcn+43H9bFmAc/kA/8lidH9HQoZ+xYd13LkVhQQPjDwbCyWWNhP/eNPvaENZnL1Y/OL3Xyc7UnifKQ8nu28Cnjneizfm+BzXoxrdZknHjOGFUyBoKd1NvJdPGsY85bkfslrG/lr/pWOdC9X3GkHqXWD+A3OgQf9j5OuzjSP5J7lTqPWmKso+7nGRzS/tCLiQ2tCyaIXaIwnjZ4dl7dgCpbUX6VcMxVF1RZ0f88BJibtjtbFWVINA94dNKvX06g3S2dxIb5mcwVZPLgqbAO3nNY46PJiF38YpyYcfBLXjrKHNHTYVx4j68ZVzkSC2LpwbCixkLbqZf+KpcZT3nG6VeYs+dvgk/MwR/Zs0WfOR2uq4tlpcYEe8xN3ehJXbzPGHWgM/XyzDzXoI/dmpNuzHgl+sd4XTdrREfuhzJ7OZDv0bMF7/fqEYwxuvHD2mBd/sYF6GE91FuOJ10c0wdsYSPXh84aP8C+87BnbuBfrStjKujL/iXY1GZiZHORBtjmQuy7eINXxytu1N58+p1fNObUd7WPnzSDqcyKus5M/PSXtlqbOtIOm00SrUAXfq4gDlwYXnQd6N/SwVz2DD3KMYcx9bLGLDYS1Tl+9R3R02FckK1fkMleLHiHjtUFCBmLIzmC7/bd1xzLvbcmwDw+irYqK1s53s0D/E2fOlIPzdis8r2OK78iZfUfunrG3xxDvhuTHKdBrsf9kowfjf0+kgOQ77c4Uo/Q1Y+xzbl+3FF7q7w2lvwUa5Hxrq6ITdazsD58Yi5z8Ik+8tU+sUG/uFeX5LLargQbkZshBHevIJ8KJvoqKSm2rWIhuUiyrcP6qbAVC8YojK0D4ZqxYE+63LwmeYgP12GvHs+APKsX0x57H4FHqBfTGTzJi2m1GfVL6alDotffBHjeKwK/mva+3p4SXSz4CNm7lK4diz+dg8Tp2gfk38yRejyL372YLpUbczEtcENqe46wVn715mDlYPZX7RX8CYBCeS6/OSbG4suXLz/3e+9SulYssGEO/om4Y1P7+DJchyP1eCb1HDx6QT0U6i3tncnzPM2HYRiGJ8tcTMMwDMNNMRfTMAzDcFPMxTQMwzDcFHMxDcMwDDfFXEzDMAzDDXF39w+TGRtYlGqYhwAAAABJRU5ErkJggg==.
  • D) data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWwAAAAcCAYAAABFyoXMAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAfxSURBVHhe7ZjrjRNLEEY3BWIgBXIgBGIgBTLgJxI/yIAIiIAESIAMyMH3HrTn6rul7p5Zr212TB2p5elXvbq6xvbDqWmapjkEXbCbpmkOQhfspmmag9AFu2ma5iBcrWB///799O7du9OPHz8eR9Z8/Pjx9P79+9PPnz8fR+6HjkXTvAy4iw8PD/81+tfk7du3/9P3XK5SsL9+/Xp68+bN6devX48j+yB4r1+/3l3YrkEe6CUK5i1iQYFnbTOHF+AtYsR5Xyp3zgG95i/t2qgPv+VWsT4H7/e1CvWsfnBHL3EeFz9RDH716tWTC5RYqM7dfwkuVQBvEQsT4aVekOa2ZKHgmfy4FvlysGBTrK+Vj9wDZH/79u1x5OlYUPm8FqP68WILNj8Bvnz58tg7D76RXjPRtkA3ifdcbhWLUYI023A+9wRF89Z5cMtv2Bbb5/wCv1XBrvWDsRdXsD28/ClwDhS5P1mA+L/5uYX2lrHogv10uFD3VrD/RB7csmBfglsU7FH9uHrBVsGHDx8eR06/f4qkUv9QZy1waDOjkFPljXSAQV39FcAcicFfDsrAHvekPsa0dXRJTXTmTbbVWzxlA2vZgy0W6FksRmuBtbTq855YaL+Xh5ZveGXYjIHxp7EfUoZJPVo3Q7+rDHAudeR5bM3DSn61HbsFOcriM2UgE6rsFcTBvRlrY5Uwn3JtoE5wPH1e+ZRoz0hGzuU4MJfnm/EUxpyvMrTPGIJ3aAZryX9+PYo6cizxzLxzeaepS94r+rMYgXpGfvrliHla+rQCfe6b1Y9RXpzDUgLBy8Mx8YSg0efQAKNqQgABxfmR0fRr8FZBFWyjqRu9Hja61Mc4drOuvnCABCB51GV/hsmhXOBzbyy0BR2skdn6PbEwrl4SfE8/GVfXSF7aDTnHvrQTG0d2Anq1AbQLedpEc422sG5rHlbyAbv0I31mnHVpN+eQfWR7nsBz6kq0F1KO9tDEMWGtctNn1+jzlk8jmKs209dWQLb2Mpe6Z6Teah+20U8dq9hxT5ivcgC7Vv6xnvsH3NO8h/SRzaf+jRjphVoHkKGuFXWf/UrNg3NZSshkJBgesMbhEAYKRq2C5eG6n/5oPfOjoApvQoKCTcLPkLQFTBzXkVSZSBx41YMPyNqCl0MmFzrSl61YZGzBJK5sxQLQlX65x4suWSBSHrrzwuWzZ17bCNbmXsBH/VR/4hnB1vyW/Hyu1Lkaf57TP1uNIRBv5kbUuaqn+lj79Y5Uu1fUPEB29qHmE/Ps24O25n7tzXPJM1tRdXOn8k4n6qnzyMj7im7ajOo/1Jjv5Sn1o+bFuSwloMRvrQRBpRhI4DAsA5jrZ1Bo/X8HmaMLMQpqQgLXQ0FufSPWhKiHyVxNLHzKPTOqfbws6sGtYuFLB4hB9Ue2YgHVD/cYWy+a8a7yeHY/83n5Us4WrM29gE5la0eStm/Nb8nXb1vaXQsf+7KPjFWMK6knbcJexqSeRdVbfa7ns/KpUvOg9kH52sw861Zo4yh/qjzIM1nBXbO4sT9lVJir96naAuhdyTGeuWcUpz2M9s3qB2PofS5LCTiucwaLT8Y5lHQaXL8ChyhuvJ1miWJQZ29b5nIvxa/q9TDRIwQ3i3q9xKM35gjXoQPwu/qyFQtl4COxnPm6FQtAdyaOe7CvJvUoycFEr344vgfk4ktC3xiPYvKU+S35oo8pizW5ru7jeZaPK4gPeownMkY+aE+dqz7PzmfkU6XmgbawV6p81q/8rutn/cwR/E07ZnBvqSfegRXM11/Q6My/H7RldVewO+2Hmht7qftW9WOUF+ewlKBzBNXCh4H0a/DAgPE5A8PZ75t1RE28CnPu59Bdz0FpVz3MDCZrTBL3MW7hx37XjDAuzKN7lGx7YsE8fqz+K9uKBdQ12odu7fBCWSBYkyCDs62+MF79mF0u1+blTV3qdl7b9s5vycd+7XSv1MuFD/aRq+6MC+Ppt7heiH21UVjH2Az1SvV55VMFPTVXWJ9jrMk4MLeyT536W+NU58F7tQUy2Mt6fZyhnejxvrAv64j3N+tARZ3aD6xFPvtoyEl/0Muein6yB3mr+lFl2E879jA//X8ZHQaGUHBnkAyrBMBACqkvgBHIX8nAHmQQLA4PO+mj2yDVw2Sc9azzwLHBMfWhm7GVfcaFtatiuxUL5rFzxVYs2I8tNmKTfeKda/I5z1WfRgk00jEDW3NtytO2mQ1b87CSzxxnV+eIs2M8g7poUmXP4s542ui6un80ZmN/nUub7LNm5FMl19C0CXJc/yHHsWdG+prPnz59+u+Zhr05j01buG8L7jJr0y/kUySF2HCXuTOz+8sa5GQcqQ3mCDJTB9BHbuUp9YN55Iv92XnOWBbsczBo+XZJONDVAVEAcXi2/0isYsGBkiQrP+8pFmBBmrE1f0TwiZdhpRaFvxFis3pRXINRwd6CL6mzb+x7qQX7XK5yOzgI3jRZaHjeKta+sWZvxyMyigXJslWs7zUWf1PB9ldLLdj0b12oXhp8M/4TMXhqwb7UWb3ogg0EhJ8xFBx/Jqz+PvAAR99Gjo6x+Pz58+9Dw89Vsb7HWJiwturb1vxR8SWUjbvwt8I31fwL4dZYsG17C/e5+FeL7bncz9eZpmmaO6cLdtM0zUHogt00TXMQumA3TdMchC7YTdM0B6ELdtM0zUHogt00TXMQumA3TdMchC7YTdM0h+B0+gddfy867C6mawAAAABJRU5ErkJggg==.
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q385

If the solid is revolved around the y-axis and generates a solid with a circular cross section of radius g(y) at y. Then the area of this cross section is

  • A) $\pi \left[ {g(y)} \right]$
  • B) $\pi {\left[ {g(y)} \right]^2}$
  • C) $\pi r{\left[ {g(y)} \right]^3}$
  • D) ${\left[ {g(y)} \right]^2}$
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q386

If f(x)= x and g(x)=x-1are integrable functions over the interval [a, b] for all xϵ[a, b], then which of the following expressions is true for f and g?

  • A) $$\int\limits_a^b {f(x)dx} \leqslant \int\limits_a^b {g(x)dx}$$
  • B) $$\int\limits_a^b {f(x)dx} \geqslant \int\limits_a^b {g(x)dx}$$
  • C) $$\int\limits_a^b {f(x)dx} > \int\limits_a^b {g(x)dx}$$
  • D) $$\int\limits_a^b {f(x)dx} < \int\limits_a^b {g(x)dx}$$
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q387

The integral of f(x)=sin(2x) from x=0 to x=pi is ........

  • A) 2
  • B) 1
  • C) None of thes.
  • D) 0
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q388

............ is used to prove the first fundamental theorem of calculus.

  • A) Intermediate value theorem
  • B) Mean value theorem for the derivatives
  • C) None of these.
  • D) Mean value theorem for the integrals
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q389

Which of the following alternative methods could be more efficient than slicing for finding the volume of certain solids?

  • A) The disk method
  • B) The shell method
  • C) The cross-sectional method
  • D) The washer method
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q390

Which of the following is the ‘mesh size’ in the partition: {[0,0.25],[0.25,0.75],[0.75,1.25],[1.25,2]} of the interval [0,2]?

  • A) [1.25,2]
  • B) [0.25,0.75]
  • C) [0,0.25]
  • D) [0.75,1.25]
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q391

If the value of definite integral of a function
f(x) taken from 1 to 3 is 2 and that of taken from 3 to 5 is 1 then value of definite integral taken from 1 to 5 is

  • A) 0
  • B) None of these
  • C) 3
  • D) 1
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q392

Constant of integration is taken to be ………. in definite integral.

  • A) c
  • B) k
  • C) 0
  • D) All of these
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q393

$$The\,\,bounded\,\,region\,\,between\,\,the\,\,parabola\,\,y = 4x^2 \,\,and\,\,the\,\,line\,\,y = 6x - 2$$

  • A) $$\frac{1} {6}\,$$
  • B) $$\frac{1} {3}$$
  • C) $$\frac{1} {{12}}$$
  • D) $$None\,\,of\,\,these$$
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q394

If a similar solid is rotated around the x-axis over a closed interval [a, b] then the corresponding volume of revolution is ....

  • A) data:image/png;base64,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.
  • B) data:image/png;base64,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.
  • C) data:image/png;base64,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.
  • D) data:image/png;base64,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.
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q395

Which statement accurately describes the comparison between the cylindrical shell method and the disk or washer method regarding their applications.

  • A) Shell method is simpler to apply.
  • B) Both methods can be used interchangeably.
  • C) The disk or washer method is simpler to apply.
  • D) The cylindrical shell method is always more accurate.
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q396

How can the volume of the solid formed by revolving a region R bounded by the graph of f(x) around the y-axis be approximated using cylindrical shells?

  • A) data:image/png;base64,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.
  • B) data:image/png;base64,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.
  • C) data:image/png;base64,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.
  • D) data:image/png;base64,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.
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q397

Which of the following statements is true about $\int\limits_0^1 {\sec x\tan xdx}$?

  • A) $$\int\limits_0^1 {\sec x\tan xdx} = [\sec x]_0^1 \times [\tan x]_0^1$$
  • B) None
  • C) $$\int\limits_0^1 {\sec x\tan xdx} = [\sec x]_0^1$$
  • D) $$\int\limits_0^1 {\sec x\tan xdx} = [\sec x]_0^1 + [\tan x]_0^1$$
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q398

The value of $\int\limits_0^{\frac{\pi }{4}} {{{\tan }^2}x\,dx} \,\_\_\_\_\_\_.$

  • A) None of the above
  • B) $$1-\frac{\pi }{4}$$
  • C) 0
  • D) $$\frac{\pi }{4}-1$$
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
MTH101 Final Term Unsolved
Q399

$$\begin{gathered} {\text{If the upper and lower limits for the definite integral are the same, then }} \ \int_a^a {f(x)} dx = \\ \end{gathered}$$

  • A) negative integer
  • B) none of these
  • C) positive integer
  • D) zero
Answer abhi available nahi — is question ka AI/admin se answer milne ka intezar hai.
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