ALLEN QUESTION PAPER -2 NEET Notes | EduRev

Created by: Arghya

NEET : ALLEN QUESTION PAPER -2 NEET Notes | EduRev

 Page 1


Corporate Office : ???? ? CAREER INSTITUTE, “SANKALP”, CP-6, Indra Vihar, Kota (Rajasthan)-324005
 +91-744-2757575   dlp@allen.ac.in   www.dlp.allen.ac.in, dsat.allen.ac.in
1. A seat marked with Reg. No. will be allotted to each student. The student should ensure that he/she occupies the correct seat only.
If any student is found to have occupied the seat of another student, both the students shall be removed from the examination and
shall have to accept any other penalty imposed upon them.
??????? ??? ????? ? ??? ???? ???? ??? ?? ?? ??? ?? ????? ?????? ???? ? ?? ? ????? ?? ? ????? ???? ? ?????? ??? ??? ?? ??? ?? ???? ??? ??? ??? ????? ? ????? ?? ???? ??? ????? ? ??? ?????? ??
?? ??????? ???? ???????????????? ????? ????? ??? ?? ??????? ??? ??? ???? ?? ???? ????? ??????? ????????? ?? ??????????? ????? ??? ??????????? ?????????
2. Duration of Test is 3 Hours and Questions Paper Contains 180 Questions. The Max.  Marks are 720.
??????? ?????????3 ?????? ????? ???? ???? ?? ?? ??? ?180 ?? ?? ???? ???? ?????? ??? ??720 ? ?? ??
3. Student can not use log tables and calculators or any other material in the examination hall.
??? ????? ?? ??????? ??? ??? ?? ??????? ??? ????????????? ??????? ???? ??? ????? ?? ??????? ?? ?? ??????? ?? ?
4. Student must abide by the instructions issued during the examination, by the invigilators or the centre incharge.
??????? ??? ??????? ????? ?? ??? ???????? ?????? ?? ?????????? ??? ????????? ????? ???????????? ?? ?
5. Before attempting the question paper ensure that it contains all the pages and that no question is missing.
???? ?? ?? ???? ??????????????? ????? ??????? ??????? ?????? ???? ?????? ???? ??????? ?? ??????????? ?
6. Each correct answer carries 4 marks, while 1 mark will be deducted for every wrong answer. Guessing of answer is harmful.
??????? ????????? ??? ??? ????? ??? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ??? ????? ????? ??????? ???? ??????????? ?????? ????? ?
7. Use Blue or Black Ball Point Pen Only to completely darken the appropriate circle.
????????? ??? ??? ???? ?? ??? ?????? ?? ?????? ??? ????? ???????? ?????? ???? ??? ??????? ?????
8. If you want to attempt any question then circle should be properly darkened as shown below, otherwise leave blank.
???? ???? ????? ? ?? ?? ??? ? ??? ????? ??? ?????? ? ???? ?? ?? ???? ????? ???? ?? ??? ? ????? ?? ?????? ???? ?? ????? ?? ??? ??? ?? ????? ?? ????? ???? ?? ???? ?????? ??? ?
Correct Method ( ?????? ???) Wrong Method ( ?????????)
9. Please do not fold the Answer Sheet and do not make any stray marks on it.
?? ???? ????? ?? ?? ??? ??? ? ????? ?????? ???? ???? ?? ???????? ????? ??? ??? ??????? ??????
10. The candidate will not do any rough work on the Answer Sheet.
????????????????? ?? ?? ???????????? ???????? ??? ??? ??????????
11. CHANGING AN ANSWER IS NOT ALLOWED.
?? ?????????? ?? ?? ?? ?? ????? ?? ????
12. Use of Pencil is strictly prohibited
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Ensure that your OMR Answer Sheet has been signed by the Invigilator and the candidate himself/ herself.
??? ??? ???????????OMR ?? ??????? ????? ?? ??? ????? ??? ?????????????????????? ???? ????? ???????? ???? ?
Your Target is to secure Good Rank in Pre-Medical 2019
Do not open this Test Booklet until you are asked to do so
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Important Instructions / ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Form Number :
DISTANCE LEARNING PROGRAMME
(Academic Session : 2018 - 2019)
TARGET : PRE-MEDICAL 2019
LEADER TEST SERIES / JOINT PACKAGE COURSE
Test Type : Unit Test Test # 01 Test Pattern 
:
 NEET-UG
TEST DATE 
:
 08 - 07 - 2018
*0 99 9D MD 3 10 31 80 01 *
Paper Code
(0999DMD310318001)
Page 2


Corporate Office : ???? ? CAREER INSTITUTE, “SANKALP”, CP-6, Indra Vihar, Kota (Rajasthan)-324005
 +91-744-2757575   dlp@allen.ac.in   www.dlp.allen.ac.in, dsat.allen.ac.in
1. A seat marked with Reg. No. will be allotted to each student. The student should ensure that he/she occupies the correct seat only.
If any student is found to have occupied the seat of another student, both the students shall be removed from the examination and
shall have to accept any other penalty imposed upon them.
??????? ??? ????? ? ??? ???? ???? ??? ?? ?? ??? ?? ????? ?????? ???? ? ?? ? ????? ?? ? ????? ???? ? ?????? ??? ??? ?? ??? ?? ???? ??? ??? ??? ????? ? ????? ?? ???? ??? ????? ? ??? ?????? ??
?? ??????? ???? ???????????????? ????? ????? ??? ?? ??????? ??? ??? ???? ?? ???? ????? ??????? ????????? ?? ??????????? ????? ??? ??????????? ?????????
2. Duration of Test is 3 Hours and Questions Paper Contains 180 Questions. The Max.  Marks are 720.
??????? ?????????3 ?????? ????? ???? ???? ?? ?? ??? ?180 ?? ?? ???? ???? ?????? ??? ??720 ? ?? ??
3. Student can not use log tables and calculators or any other material in the examination hall.
??? ????? ?? ??????? ??? ??? ?? ??????? ??? ????????????? ??????? ???? ??? ????? ?? ??????? ?? ?? ??????? ?? ?
4. Student must abide by the instructions issued during the examination, by the invigilators or the centre incharge.
??????? ??? ??????? ????? ?? ??? ???????? ?????? ?? ?????????? ??? ????????? ????? ???????????? ?? ?
5. Before attempting the question paper ensure that it contains all the pages and that no question is missing.
???? ?? ?? ???? ??????????????? ????? ??????? ??????? ?????? ???? ?????? ???? ??????? ?? ??????????? ?
6. Each correct answer carries 4 marks, while 1 mark will be deducted for every wrong answer. Guessing of answer is harmful.
??????? ????????? ??? ??? ????? ??? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ??? ????? ????? ??????? ???? ??????????? ?????? ????? ?
7. Use Blue or Black Ball Point Pen Only to completely darken the appropriate circle.
????????? ??? ??? ???? ?? ??? ?????? ?? ?????? ??? ????? ???????? ?????? ???? ??? ??????? ?????
8. If you want to attempt any question then circle should be properly darkened as shown below, otherwise leave blank.
???? ???? ????? ? ?? ?? ??? ? ??? ????? ??? ?????? ? ???? ?? ?? ???? ????? ???? ?? ??? ? ????? ?? ?????? ???? ?? ????? ?? ??? ??? ?? ????? ?? ????? ???? ?? ???? ?????? ??? ?
Correct Method ( ?????? ???) Wrong Method ( ?????????)
9. Please do not fold the Answer Sheet and do not make any stray marks on it.
?? ???? ????? ?? ?? ??? ??? ? ????? ?????? ???? ???? ?? ???????? ????? ??? ??? ??????? ??????
10. The candidate will not do any rough work on the Answer Sheet.
????????????????? ?? ?? ???????????? ???????? ??? ??? ??????????
11. CHANGING AN ANSWER IS NOT ALLOWED.
?? ?????????? ?? ?? ?? ?? ????? ?? ????
12. Use of Pencil is strictly prohibited
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Ensure that your OMR Answer Sheet has been signed by the Invigilator and the candidate himself/ herself.
??? ??? ???????????OMR ?? ??????? ????? ?? ??? ????? ??? ?????????????????????? ???? ????? ???????? ???? ?
Your Target is to secure Good Rank in Pre-Medical 2019
Do not open this Test Booklet until you are asked to do so
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Important Instructions / ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Form Number :
DISTANCE LEARNING PROGRAMME
(Academic Session : 2018 - 2019)
TARGET : PRE-MEDICAL 2019
LEADER TEST SERIES / JOINT PACKAGE COURSE
Test Type : Unit Test Test # 01 Test Pattern 
:
 NEET-UG
TEST DATE 
:
 08 - 07 - 2018
*0 99 9D MD 3 10 31 80 01 *
Paper Code
(0999DMD310318001)
Leader Test Series/Joint Package Course/NEET-UG/08-07-2018
0999 DM D31 0 31 8001 LT S- 1 /2 6
BEWARE OF NEGATIVE MARKING
HAVE CONTROL ? ? HAVE PATIENCE ? ? HAVE CONFIDENCE ? 100% SUCCESS
1. Distance between two points (2,3,3) and (8,5,0) is:-
(1) 4 (2) 5 (3) 6 (4) 7
2. ? ?
1
3 0.97 is approximately equal to :-
(1) 0.99 (2) 0.01 (3) 0.985 (4) None
3. For the given (y–x) graph, find average value of
y over an interval 0 ? x ? 3 :-
1 2 3
x
y
20
(1) 10 (2) 
50
3
(3) 
20
3
(4) 20
4. The value of 
1 / 2
8
0 0
9x dx cosxdx
?
?
? ?
:-
(1) 1 (2) 3 (3) 4 (4) 2
5. Find the angle made by straight line x + y = 4 with
positive x-axis is :-
(1) 45° (2) 135° (3) 60° (4) 120°
6. The side of a square is increasing at rate of
0.2 cm/s. The rate of increase of perimeter w.r.t.
time is :-
(1) 0.2 cm/s (2) 0.4 cm/s
(3) 0.6 cm/s (4) 0.8 cm/s
7. Two particles A and B are moving in x-y plane. Their
positions vary with time t according to relation :
x
A
(t) = 3t, x
B
(t) = 6 and y
A
(t) = t, y
B
(t) =2+3t
2
.
The distance between these particles at t = 1 is:-
(1) 5 (2) 3 (3) 4 (4) 12
8. Sun rays cast 16m long shadow of a pole, when
Sun is 37° above horizontal. When Sun rises to
53° above horizontal, length of shadow become:-
(1) 8 m (2) 16 m (3) 9 m (4) 4 m
9. The minimum value of the function given below
wil be:
2
4 sin 3 cos ? ? ? ?
(1) 0 (2) 1 (3) 
1
3
(4) 
1
2
1. ???? ?? ?? ?? ????(2,3,3) ?? ? (8,5,0) ??? ?? ?? ?? ? ????? ?? :-
(1) 4 (2) 5 (3) 6 (4) 7
2. ? ?
1
3 0.97 ??? ?? ?? ?? ? ?? ? ???:
(1) 0.99 (2) 0.01 (3) 0.985     (4) ????? ? ?? ??
3. ? ??? ? ??(y–x) ? ?? ? ? ? ? ? ?? ? ??0 ? x ? 3 ? ? ?? ? ? ? ? ? ?
y ??? ? ??? ?? ???? ??? ? ?? ? ?? ?:-
1 2 3
x
y
20
(1) 10 (2) 
50
3
(3) 
20
3
(4) 20
4.
1 / 2
8
0 0
9x dx cosxdx
?
?
? ?
 ??? ??? ? ??????:-
(1) 1 (2) 3 (3) 4 (4) 2
5. ??????????x + y = 4 ?? ?????? ?????x- ??????? ??????????
???? ?? ???? ??? ??? ? ????? :-
(1) 45° (2) 135° (3) 60° (4) 120°
6. ?? ??? ???? ?? ? ??? ???0.2 cm/s ?? ? ??? ??? ??? ??? ?? ?? ???? ??
?? ? ? ?? ?? ??? ?? ??? ?? ??? ?? ?? ?? ? ?? ??? ??:-
(1) 0.2 cm/s (2) 0.4 cm/s
(3) 0.6 cm/s (4) 0.8 cm/s
7. ? ?? ? ? ?? ?A ? B, x-y ? ?? ?? ?? ?? ?? ? ?? ?? ?? ??? ? ?? ? ? ? ?? ??? ? ?? ?
? ?? ?(t) ? ?? ?? ?? ? ? ?? ? ?? ?? ?? ?? ? ? ? ???? ? ? ?? ?? ?? ? ?? ?? ?? ?? ?? :
x
A
(t) = 3t, x
B
(t) = 6 ?????y
A
(t) = t, y
B
(t) =2+3t
2
.
t = 1 ??? ??? ??? ???? ??? ?? ?? ?? ? ????? ?? ?:-
(1) 5 (2) 3 (3) 4 (4) 12
8. ??? ???? ? ??????? ???37° ???? ?? ?? ???? ? ?? ?????? ? ??? ???? ?? ?? ??
?? ????? ?? ? ?????? ?16 m ???? ? ?? ?? ??? ???? ? ??????? ???53°
???? ?? ??? ?? ? ???? ?????? ? ?? ? ? ????? ? ???? ????? :-
(1) 8 m (2) 16 m (3) 9 m (4) 4 m
9. ??? ?? ???? ? ???? ?? ?? ?? ? ???? ?? ? ?? ?? ???? ?? ?
2
4 sin 3 cos ? ? ? ?
(1) 0 (2) 1 (3) 
1
3
(4) 
1
2
TOPIC : Basic Mathematics used in Physics, Vectors, Units, Dimensions and Measurement, Electrostatics.
Page 3


Corporate Office : ???? ? CAREER INSTITUTE, “SANKALP”, CP-6, Indra Vihar, Kota (Rajasthan)-324005
 +91-744-2757575   dlp@allen.ac.in   www.dlp.allen.ac.in, dsat.allen.ac.in
1. A seat marked with Reg. No. will be allotted to each student. The student should ensure that he/she occupies the correct seat only.
If any student is found to have occupied the seat of another student, both the students shall be removed from the examination and
shall have to accept any other penalty imposed upon them.
??????? ??? ????? ? ??? ???? ???? ??? ?? ?? ??? ?? ????? ?????? ???? ? ?? ? ????? ?? ? ????? ???? ? ?????? ??? ??? ?? ??? ?? ???? ??? ??? ??? ????? ? ????? ?? ???? ??? ????? ? ??? ?????? ??
?? ??????? ???? ???????????????? ????? ????? ??? ?? ??????? ??? ??? ???? ?? ???? ????? ??????? ????????? ?? ??????????? ????? ??? ??????????? ?????????
2. Duration of Test is 3 Hours and Questions Paper Contains 180 Questions. The Max.  Marks are 720.
??????? ?????????3 ?????? ????? ???? ???? ?? ?? ??? ?180 ?? ?? ???? ???? ?????? ??? ??720 ? ?? ??
3. Student can not use log tables and calculators or any other material in the examination hall.
??? ????? ?? ??????? ??? ??? ?? ??????? ??? ????????????? ??????? ???? ??? ????? ?? ??????? ?? ?? ??????? ?? ?
4. Student must abide by the instructions issued during the examination, by the invigilators or the centre incharge.
??????? ??? ??????? ????? ?? ??? ???????? ?????? ?? ?????????? ??? ????????? ????? ???????????? ?? ?
5. Before attempting the question paper ensure that it contains all the pages and that no question is missing.
???? ?? ?? ???? ??????????????? ????? ??????? ??????? ?????? ???? ?????? ???? ??????? ?? ??????????? ?
6. Each correct answer carries 4 marks, while 1 mark will be deducted for every wrong answer. Guessing of answer is harmful.
??????? ????????? ??? ??? ????? ??? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ??? ????? ????? ??????? ???? ??????????? ?????? ????? ?
7. Use Blue or Black Ball Point Pen Only to completely darken the appropriate circle.
????????? ??? ??? ???? ?? ??? ?????? ?? ?????? ??? ????? ???????? ?????? ???? ??? ??????? ?????
8. If you want to attempt any question then circle should be properly darkened as shown below, otherwise leave blank.
???? ???? ????? ? ?? ?? ??? ? ??? ????? ??? ?????? ? ???? ?? ?? ???? ????? ???? ?? ??? ? ????? ?? ?????? ???? ?? ????? ?? ??? ??? ?? ????? ?? ????? ???? ?? ???? ?????? ??? ?
Correct Method ( ?????? ???) Wrong Method ( ?????????)
9. Please do not fold the Answer Sheet and do not make any stray marks on it.
?? ???? ????? ?? ?? ??? ??? ? ????? ?????? ???? ???? ?? ???????? ????? ??? ??? ??????? ??????
10. The candidate will not do any rough work on the Answer Sheet.
????????????????? ?? ?? ???????????? ???????? ??? ??? ??????????
11. CHANGING AN ANSWER IS NOT ALLOWED.
?? ?????????? ?? ?? ?? ?? ????? ?? ????
12. Use of Pencil is strictly prohibited
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Ensure that your OMR Answer Sheet has been signed by the Invigilator and the candidate himself/ herself.
??? ??? ???????????OMR ?? ??????? ????? ?? ??? ????? ??? ?????????????????????? ???? ????? ???????? ???? ?
Your Target is to secure Good Rank in Pre-Medical 2019
Do not open this Test Booklet until you are asked to do so
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Important Instructions / ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Form Number :
DISTANCE LEARNING PROGRAMME
(Academic Session : 2018 - 2019)
TARGET : PRE-MEDICAL 2019
LEADER TEST SERIES / JOINT PACKAGE COURSE
Test Type : Unit Test Test # 01 Test Pattern 
:
 NEET-UG
TEST DATE 
:
 08 - 07 - 2018
*0 99 9D MD 3 10 31 80 01 *
Paper Code
(0999DMD310318001)
Leader Test Series/Joint Package Course/NEET-UG/08-07-2018
0999 DM D31 0 31 8001 LT S- 1 /2 6
BEWARE OF NEGATIVE MARKING
HAVE CONTROL ? ? HAVE PATIENCE ? ? HAVE CONFIDENCE ? 100% SUCCESS
1. Distance between two points (2,3,3) and (8,5,0) is:-
(1) 4 (2) 5 (3) 6 (4) 7
2. ? ?
1
3 0.97 is approximately equal to :-
(1) 0.99 (2) 0.01 (3) 0.985 (4) None
3. For the given (y–x) graph, find average value of
y over an interval 0 ? x ? 3 :-
1 2 3
x
y
20
(1) 10 (2) 
50
3
(3) 
20
3
(4) 20
4. The value of 
1 / 2
8
0 0
9x dx cosxdx
?
?
? ?
:-
(1) 1 (2) 3 (3) 4 (4) 2
5. Find the angle made by straight line x + y = 4 with
positive x-axis is :-
(1) 45° (2) 135° (3) 60° (4) 120°
6. The side of a square is increasing at rate of
0.2 cm/s. The rate of increase of perimeter w.r.t.
time is :-
(1) 0.2 cm/s (2) 0.4 cm/s
(3) 0.6 cm/s (4) 0.8 cm/s
7. Two particles A and B are moving in x-y plane. Their
positions vary with time t according to relation :
x
A
(t) = 3t, x
B
(t) = 6 and y
A
(t) = t, y
B
(t) =2+3t
2
.
The distance between these particles at t = 1 is:-
(1) 5 (2) 3 (3) 4 (4) 12
8. Sun rays cast 16m long shadow of a pole, when
Sun is 37° above horizontal. When Sun rises to
53° above horizontal, length of shadow become:-
(1) 8 m (2) 16 m (3) 9 m (4) 4 m
9. The minimum value of the function given below
wil be:
2
4 sin 3 cos ? ? ? ?
(1) 0 (2) 1 (3) 
1
3
(4) 
1
2
1. ???? ?? ?? ?? ????(2,3,3) ?? ? (8,5,0) ??? ?? ?? ?? ? ????? ?? :-
(1) 4 (2) 5 (3) 6 (4) 7
2. ? ?
1
3 0.97 ??? ?? ?? ?? ? ?? ? ???:
(1) 0.99 (2) 0.01 (3) 0.985     (4) ????? ? ?? ??
3. ? ??? ? ??(y–x) ? ?? ? ? ? ? ? ?? ? ??0 ? x ? 3 ? ? ?? ? ? ? ? ? ?
y ??? ? ??? ?? ???? ??? ? ?? ? ?? ?:-
1 2 3
x
y
20
(1) 10 (2) 
50
3
(3) 
20
3
(4) 20
4.
1 / 2
8
0 0
9x dx cosxdx
?
?
? ?
 ??? ??? ? ??????:-
(1) 1 (2) 3 (3) 4 (4) 2
5. ??????????x + y = 4 ?? ?????? ?????x- ??????? ??????????
???? ?? ???? ??? ??? ? ????? :-
(1) 45° (2) 135° (3) 60° (4) 120°
6. ?? ??? ???? ?? ? ??? ???0.2 cm/s ?? ? ??? ??? ??? ??? ?? ?? ???? ??
?? ? ? ?? ?? ??? ?? ??? ?? ??? ?? ?? ?? ? ?? ??? ??:-
(1) 0.2 cm/s (2) 0.4 cm/s
(3) 0.6 cm/s (4) 0.8 cm/s
7. ? ?? ? ? ?? ?A ? B, x-y ? ?? ?? ?? ?? ?? ? ?? ?? ?? ??? ? ?? ? ? ? ?? ??? ? ?? ?
? ?? ?(t) ? ?? ?? ?? ? ? ?? ? ?? ?? ?? ?? ? ? ? ???? ? ? ?? ?? ?? ? ?? ?? ?? ?? ?? :
x
A
(t) = 3t, x
B
(t) = 6 ?????y
A
(t) = t, y
B
(t) =2+3t
2
.
t = 1 ??? ??? ??? ???? ??? ?? ?? ?? ? ????? ?? ?:-
(1) 5 (2) 3 (3) 4 (4) 12
8. ??? ???? ? ??????? ???37° ???? ?? ?? ???? ? ?? ?????? ? ??? ???? ?? ?? ??
?? ????? ?? ? ?????? ?16 m ???? ? ?? ?? ??? ???? ? ??????? ???53°
???? ?? ??? ?? ? ???? ?????? ? ?? ? ? ????? ? ???? ????? :-
(1) 8 m (2) 16 m (3) 9 m (4) 4 m
9. ??? ?? ???? ? ???? ?? ?? ?? ? ???? ?? ? ?? ?? ???? ?? ?
2
4 sin 3 cos ? ? ? ?
(1) 0 (2) 1 (3) 
1
3
(4) 
1
2
TOPIC : Basic Mathematics used in Physics, Vectors, Units, Dimensions and Measurement, Electrostatics.
0999 DM D31 0 31 8001
Target : Pre-Medical 2019/NEET-UG/08-07-2018
LT S- 2 /2 6
10. If ?
1
 + ?
2 
= 
2
?
 and ?
1
 = 2 ?
2 
, then the value of
sin
2
?
1
 + cos
2
?
2
 is :-
(1) 
1
2
(2) 1 (3) 
3
2
(4) 2
11. In the figure shown below the angle in between
A
?
 and B
?
 is :
(C = 
B
2
)
B
A
C
(1) 30° (2) 60° (3) 120° (4) 150°
12. If 
ˆ
ˆ | a b |
ˆ
ˆ
| a b |
?
?
 = 1, the angle between ˆ a and 
ˆ
b is:
(1) 0° (2) 45° (3) 90° (4) 60°
13. 100 coplanar forces each equal to 10 N a acting
body. Each force makes angle 
50
?
 with the
preceding force, what is the resultant of the forces:
(1) 1000 N (2) 500 N
(3) 250 N (4) zero
14. If the ratio of maximum and minimum magnitudes
of the resultant of two vectors a
?
 and b
?
 is 3 : 1
then | a |
?
 is equal to :-
(1) | a |
?
(2) 2 | b |
?
(3) 3 | b |
?
(4) 4 | b |
?
15. The component of vector 
ˆ ˆ ˆ
2i 3j 2k ? ?
perpendicular to 
ˆ ˆ ˆ
i j k ? ? is:-
(1) 
? ?
5
ˆ ˆ ˆ
i 2 j k
3
? ? (2) 
? ?
1
ˆ ˆ ˆ
i j 2k
3
? ?
(3) 
? ?
ˆ ˆ ˆ
7i 10 j 7k
3
? ?
(4) 
? ?
ˆ ˆ ˆ
1 5i 8j 5k
3
? ?
16. The angle between two vectors
ˆ
j
ˆ ˆ
R i k
3
? ? ? ?
?
 and 
? ?
ˆ ˆ ˆ
S Xi 3j X 1 k ? ? ? ?
?
(1) Is obtuse angle (2) Is acute angle
(3) Is right angle (4) Depend on X
10. ???? ?
1
 + ?
2 
= 
2
?
 ?? ? ?
1
 = 2 ?
2 
, ??? sin
2
?
1
 + cos
2
?
2
??? ??? ? ????? :-
(1) 
1
2
(2) 1 (3) 
3
2
(4) 2
11. ????? ? ??? ????? ??? ? ?? ?? A
?
 ? B
?
 ??? ?? ?? ?? ???? ?? ?:-
(C = 
B
2
)
B
A
C
(1) 30° (2) 60° (3) 120° (4) 150°
12. ??? 
ˆ
ˆ | a b |
ˆ
ˆ
| a b |
?
?
 = 1, ???? ???? ˆ a ??
ˆ
b ??? ?? ?? ????? ? ?? ?
(1) 0° (2) 45° (3) 90° (4) 60°
13. 100 ?? ????? ?????? ???? ???10N, ? ??? ??? ?? ??? ?? ? ???
???? ???? ????? ? ??? ????? ????????
50
?
 ????? ? ??????? ? ?? ?? ???
??? ????? ???? ? ?? ??? ? ????? :
(1) 1000 N (2) 500 N
(3) 250 N (4) ?????
14. ??? ? ??? ???? ?? a
?
 ? 
b
?
 ?? ? ??? ??? ?? ?? ??? ?? ? ? ??? ??? ???? ??
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 3 : 1 ? ? ? ? ? ? ? ? | a |
?
 ? ? ? ? ? ?
?? ?:-
(1) | a |
?
(2) 2 | b |
?
(3) 3 | b |
?
(4) 4 | b |
?
15. ? ?? ? ??
ˆ ˆ ˆ
2i 3j 2k ? ? ? ??
ˆ ˆ ˆ
i j k ? ? ? ?? ? ? ? ? ? ? ? ? ? ???
??? ?? ??????:-
(1) ? ?
5
ˆ ˆ ˆ
i 2 j k
3
? ?
(2) ? ?
1
ˆ ˆ ˆ
i j 2k
3
? ?
(3) 
? ?
ˆ ˆ ˆ
7i 10 j 7k
3
? ?
(4) 
? ?
ˆ ˆ ˆ
1 5i 8j 5k
3
? ?
16. ???? ?????? ??? ??? ?? ?? ?? ???
ˆ
j
ˆ ˆ
R i k
3
? ? ? ?
?
 ? 
? ?
ˆ ˆ ˆ
S Xi 3j X 1 k ? ? ? ?
?
(1) ????? ? ? ????? ?? (2) ???? ? ????? ? ??
(3) ?? ? ????? ? ?? (4) X ??? ??????
Page 4


Corporate Office : ???? ? CAREER INSTITUTE, “SANKALP”, CP-6, Indra Vihar, Kota (Rajasthan)-324005
 +91-744-2757575   dlp@allen.ac.in   www.dlp.allen.ac.in, dsat.allen.ac.in
1. A seat marked with Reg. No. will be allotted to each student. The student should ensure that he/she occupies the correct seat only.
If any student is found to have occupied the seat of another student, both the students shall be removed from the examination and
shall have to accept any other penalty imposed upon them.
??????? ??? ????? ? ??? ???? ???? ??? ?? ?? ??? ?? ????? ?????? ???? ? ?? ? ????? ?? ? ????? ???? ? ?????? ??? ??? ?? ??? ?? ???? ??? ??? ??? ????? ? ????? ?? ???? ??? ????? ? ??? ?????? ??
?? ??????? ???? ???????????????? ????? ????? ??? ?? ??????? ??? ??? ???? ?? ???? ????? ??????? ????????? ?? ??????????? ????? ??? ??????????? ?????????
2. Duration of Test is 3 Hours and Questions Paper Contains 180 Questions. The Max.  Marks are 720.
??????? ?????????3 ?????? ????? ???? ???? ?? ?? ??? ?180 ?? ?? ???? ???? ?????? ??? ??720 ? ?? ??
3. Student can not use log tables and calculators or any other material in the examination hall.
??? ????? ?? ??????? ??? ??? ?? ??????? ??? ????????????? ??????? ???? ??? ????? ?? ??????? ?? ?? ??????? ?? ?
4. Student must abide by the instructions issued during the examination, by the invigilators or the centre incharge.
??????? ??? ??????? ????? ?? ??? ???????? ?????? ?? ?????????? ??? ????????? ????? ???????????? ?? ?
5. Before attempting the question paper ensure that it contains all the pages and that no question is missing.
???? ?? ?? ???? ??????????????? ????? ??????? ??????? ?????? ???? ?????? ???? ??????? ?? ??????????? ?
6. Each correct answer carries 4 marks, while 1 mark will be deducted for every wrong answer. Guessing of answer is harmful.
??????? ????????? ??? ??? ????? ??? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ??? ????? ????? ??????? ???? ??????????? ?????? ????? ?
7. Use Blue or Black Ball Point Pen Only to completely darken the appropriate circle.
????????? ??? ??? ???? ?? ??? ?????? ?? ?????? ??? ????? ???????? ?????? ???? ??? ??????? ?????
8. If you want to attempt any question then circle should be properly darkened as shown below, otherwise leave blank.
???? ???? ????? ? ?? ?? ??? ? ??? ????? ??? ?????? ? ???? ?? ?? ???? ????? ???? ?? ??? ? ????? ?? ?????? ???? ?? ????? ?? ??? ??? ?? ????? ?? ????? ???? ?? ???? ?????? ??? ?
Correct Method ( ?????? ???) Wrong Method ( ?????????)
9. Please do not fold the Answer Sheet and do not make any stray marks on it.
?? ???? ????? ?? ?? ??? ??? ? ????? ?????? ???? ???? ?? ???????? ????? ??? ??? ??????? ??????
10. The candidate will not do any rough work on the Answer Sheet.
????????????????? ?? ?? ???????????? ???????? ??? ??? ??????????
11. CHANGING AN ANSWER IS NOT ALLOWED.
?? ?????????? ?? ?? ?? ?? ????? ?? ????
12. Use of Pencil is strictly prohibited
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Ensure that your OMR Answer Sheet has been signed by the Invigilator and the candidate himself/ herself.
??? ??? ???????????OMR ?? ??????? ????? ?? ??? ????? ??? ?????????????????????? ???? ????? ???????? ???? ?
Your Target is to secure Good Rank in Pre-Medical 2019
Do not open this Test Booklet until you are asked to do so
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Important Instructions / ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Form Number :
DISTANCE LEARNING PROGRAMME
(Academic Session : 2018 - 2019)
TARGET : PRE-MEDICAL 2019
LEADER TEST SERIES / JOINT PACKAGE COURSE
Test Type : Unit Test Test # 01 Test Pattern 
:
 NEET-UG
TEST DATE 
:
 08 - 07 - 2018
*0 99 9D MD 3 10 31 80 01 *
Paper Code
(0999DMD310318001)
Leader Test Series/Joint Package Course/NEET-UG/08-07-2018
0999 DM D31 0 31 8001 LT S- 1 /2 6
BEWARE OF NEGATIVE MARKING
HAVE CONTROL ? ? HAVE PATIENCE ? ? HAVE CONFIDENCE ? 100% SUCCESS
1. Distance between two points (2,3,3) and (8,5,0) is:-
(1) 4 (2) 5 (3) 6 (4) 7
2. ? ?
1
3 0.97 is approximately equal to :-
(1) 0.99 (2) 0.01 (3) 0.985 (4) None
3. For the given (y–x) graph, find average value of
y over an interval 0 ? x ? 3 :-
1 2 3
x
y
20
(1) 10 (2) 
50
3
(3) 
20
3
(4) 20
4. The value of 
1 / 2
8
0 0
9x dx cosxdx
?
?
? ?
:-
(1) 1 (2) 3 (3) 4 (4) 2
5. Find the angle made by straight line x + y = 4 with
positive x-axis is :-
(1) 45° (2) 135° (3) 60° (4) 120°
6. The side of a square is increasing at rate of
0.2 cm/s. The rate of increase of perimeter w.r.t.
time is :-
(1) 0.2 cm/s (2) 0.4 cm/s
(3) 0.6 cm/s (4) 0.8 cm/s
7. Two particles A and B are moving in x-y plane. Their
positions vary with time t according to relation :
x
A
(t) = 3t, x
B
(t) = 6 and y
A
(t) = t, y
B
(t) =2+3t
2
.
The distance between these particles at t = 1 is:-
(1) 5 (2) 3 (3) 4 (4) 12
8. Sun rays cast 16m long shadow of a pole, when
Sun is 37° above horizontal. When Sun rises to
53° above horizontal, length of shadow become:-
(1) 8 m (2) 16 m (3) 9 m (4) 4 m
9. The minimum value of the function given below
wil be:
2
4 sin 3 cos ? ? ? ?
(1) 0 (2) 1 (3) 
1
3
(4) 
1
2
1. ???? ?? ?? ?? ????(2,3,3) ?? ? (8,5,0) ??? ?? ?? ?? ? ????? ?? :-
(1) 4 (2) 5 (3) 6 (4) 7
2. ? ?
1
3 0.97 ??? ?? ?? ?? ? ?? ? ???:
(1) 0.99 (2) 0.01 (3) 0.985     (4) ????? ? ?? ??
3. ? ??? ? ??(y–x) ? ?? ? ? ? ? ? ?? ? ??0 ? x ? 3 ? ? ?? ? ? ? ? ? ?
y ??? ? ??? ?? ???? ??? ? ?? ? ?? ?:-
1 2 3
x
y
20
(1) 10 (2) 
50
3
(3) 
20
3
(4) 20
4.
1 / 2
8
0 0
9x dx cosxdx
?
?
? ?
 ??? ??? ? ??????:-
(1) 1 (2) 3 (3) 4 (4) 2
5. ??????????x + y = 4 ?? ?????? ?????x- ??????? ??????????
???? ?? ???? ??? ??? ? ????? :-
(1) 45° (2) 135° (3) 60° (4) 120°
6. ?? ??? ???? ?? ? ??? ???0.2 cm/s ?? ? ??? ??? ??? ??? ?? ?? ???? ??
?? ? ? ?? ?? ??? ?? ??? ?? ??? ?? ?? ?? ? ?? ??? ??:-
(1) 0.2 cm/s (2) 0.4 cm/s
(3) 0.6 cm/s (4) 0.8 cm/s
7. ? ?? ? ? ?? ?A ? B, x-y ? ?? ?? ?? ?? ?? ? ?? ?? ?? ??? ? ?? ? ? ? ?? ??? ? ?? ?
? ?? ?(t) ? ?? ?? ?? ? ? ?? ? ?? ?? ?? ?? ? ? ? ???? ? ? ?? ?? ?? ? ?? ?? ?? ?? ?? :
x
A
(t) = 3t, x
B
(t) = 6 ?????y
A
(t) = t, y
B
(t) =2+3t
2
.
t = 1 ??? ??? ??? ???? ??? ?? ?? ?? ? ????? ?? ?:-
(1) 5 (2) 3 (3) 4 (4) 12
8. ??? ???? ? ??????? ???37° ???? ?? ?? ???? ? ?? ?????? ? ??? ???? ?? ?? ??
?? ????? ?? ? ?????? ?16 m ???? ? ?? ?? ??? ???? ? ??????? ???53°
???? ?? ??? ?? ? ???? ?????? ? ?? ? ? ????? ? ???? ????? :-
(1) 8 m (2) 16 m (3) 9 m (4) 4 m
9. ??? ?? ???? ? ???? ?? ?? ?? ? ???? ?? ? ?? ?? ???? ?? ?
2
4 sin 3 cos ? ? ? ?
(1) 0 (2) 1 (3) 
1
3
(4) 
1
2
TOPIC : Basic Mathematics used in Physics, Vectors, Units, Dimensions and Measurement, Electrostatics.
0999 DM D31 0 31 8001
Target : Pre-Medical 2019/NEET-UG/08-07-2018
LT S- 2 /2 6
10. If ?
1
 + ?
2 
= 
2
?
 and ?
1
 = 2 ?
2 
, then the value of
sin
2
?
1
 + cos
2
?
2
 is :-
(1) 
1
2
(2) 1 (3) 
3
2
(4) 2
11. In the figure shown below the angle in between
A
?
 and B
?
 is :
(C = 
B
2
)
B
A
C
(1) 30° (2) 60° (3) 120° (4) 150°
12. If 
ˆ
ˆ | a b |
ˆ
ˆ
| a b |
?
?
 = 1, the angle between ˆ a and 
ˆ
b is:
(1) 0° (2) 45° (3) 90° (4) 60°
13. 100 coplanar forces each equal to 10 N a acting
body. Each force makes angle 
50
?
 with the
preceding force, what is the resultant of the forces:
(1) 1000 N (2) 500 N
(3) 250 N (4) zero
14. If the ratio of maximum and minimum magnitudes
of the resultant of two vectors a
?
 and b
?
 is 3 : 1
then | a |
?
 is equal to :-
(1) | a |
?
(2) 2 | b |
?
(3) 3 | b |
?
(4) 4 | b |
?
15. The component of vector 
ˆ ˆ ˆ
2i 3j 2k ? ?
perpendicular to 
ˆ ˆ ˆ
i j k ? ? is:-
(1) 
? ?
5
ˆ ˆ ˆ
i 2 j k
3
? ? (2) 
? ?
1
ˆ ˆ ˆ
i j 2k
3
? ?
(3) 
? ?
ˆ ˆ ˆ
7i 10 j 7k
3
? ?
(4) 
? ?
ˆ ˆ ˆ
1 5i 8j 5k
3
? ?
16. The angle between two vectors
ˆ
j
ˆ ˆ
R i k
3
? ? ? ?
?
 and 
? ?
ˆ ˆ ˆ
S Xi 3j X 1 k ? ? ? ?
?
(1) Is obtuse angle (2) Is acute angle
(3) Is right angle (4) Depend on X
10. ???? ?
1
 + ?
2 
= 
2
?
 ?? ? ?
1
 = 2 ?
2 
, ??? sin
2
?
1
 + cos
2
?
2
??? ??? ? ????? :-
(1) 
1
2
(2) 1 (3) 
3
2
(4) 2
11. ????? ? ??? ????? ??? ? ?? ?? A
?
 ? B
?
 ??? ?? ?? ?? ???? ?? ?:-
(C = 
B
2
)
B
A
C
(1) 30° (2) 60° (3) 120° (4) 150°
12. ??? 
ˆ
ˆ | a b |
ˆ
ˆ
| a b |
?
?
 = 1, ???? ???? ˆ a ??
ˆ
b ??? ?? ?? ????? ? ?? ?
(1) 0° (2) 45° (3) 90° (4) 60°
13. 100 ?? ????? ?????? ???? ???10N, ? ??? ??? ?? ??? ?? ? ???
???? ???? ????? ? ??? ????? ????????
50
?
 ????? ? ??????? ? ?? ?? ???
??? ????? ???? ? ?? ??? ? ????? :
(1) 1000 N (2) 500 N
(3) 250 N (4) ?????
14. ??? ? ??? ???? ?? a
?
 ? 
b
?
 ?? ? ??? ??? ?? ?? ??? ?? ? ? ??? ??? ???? ??
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 3 : 1 ? ? ? ? ? ? ? ? | a |
?
 ? ? ? ? ? ?
?? ?:-
(1) | a |
?
(2) 2 | b |
?
(3) 3 | b |
?
(4) 4 | b |
?
15. ? ?? ? ??
ˆ ˆ ˆ
2i 3j 2k ? ? ? ??
ˆ ˆ ˆ
i j k ? ? ? ?? ? ? ? ? ? ? ? ? ? ???
??? ?? ??????:-
(1) ? ?
5
ˆ ˆ ˆ
i 2 j k
3
? ?
(2) ? ?
1
ˆ ˆ ˆ
i j 2k
3
? ?
(3) 
? ?
ˆ ˆ ˆ
7i 10 j 7k
3
? ?
(4) 
? ?
ˆ ˆ ˆ
1 5i 8j 5k
3
? ?
16. ???? ?????? ??? ??? ?? ?? ?? ???
ˆ
j
ˆ ˆ
R i k
3
? ? ? ?
?
 ? 
? ?
ˆ ˆ ˆ
S Xi 3j X 1 k ? ? ? ?
?
(1) ????? ? ? ????? ?? (2) ???? ? ????? ? ??
(3) ?? ? ????? ? ?? (4) X ??? ??????
Leader Test Series/Joint Package Course/NEET-UG/08-07-2018
0999 DM D31 0 31 8001 LT S- 3 /2 6
17. If 
ˆ ˆ ˆ
A 2i pj qk ? ? ?
?
 , 
ˆ ˆ ˆ
B 5i 7j 3k ? ? ?
?
 and A || B
? ?
,
then values of p and q are :-
(1) 
14
5
 and 
6
5
(2) 
14
3
 and 
6
5
(3) 
6
5
 and 
1
3
(4) 
3
4
 and 
1
4
18. Kinetic energy of a particle moving along
elliptical trajectory is given by K = ? S
2
 , where
S is the distance travelled by the particle. The
dimensions of ? are :-
(1) [ ?] = [M
1
T
–2
] (2) [ ?] = [M
2
T
–2
]
(3) [ ?] = [M
2
T
–1
] (4) [ ?] = [M
–1
T
2
]
19. The radius of a ball is [5.4 ± 0.2]cm. The
percentage error in the volume of the ball is :-
(1) 11% (2) 4% (3) 7% (4) 9%
20. Which relation can not obtained dimensionally :
(1) Pressure = 
Force
Area
(2) Volume = Length × Area
(3) Thermal energy = 
2
(Momentum)
Area
(4) Distance = speed × time
21. Four charges +q, –q, +q, –q are placed in order on
the four consecutive corners of a square of side 'a'.
The work done in interchanging the positions of any
two neighbouring charges of opposite sign is :-
(1)
2
0
q
( 4 2)
4 a
? ?
? ?
(2) 
2
0
q
(4 2 2)
4 a
?
? ?
(3)
2
0
q
(4 2 2)
4 a
?
? ?
(4) 
2
0
q
(4 2)
4 a
?
? ?
22. A point charge q is kept at A. The potential at point
P at distance r from it is V and twice of this charge
is distributed uniformly on the surface of a hollow
sphere of radius 4r with centre at point A, the total
potential at point P is :-
(1) V (2) 
V
2
(3) 
3 V
2
(4) 
V
8
23. Three identical charges are placed at corners of
an equilateral triangle of side ?. If force between
any two charges is F, the work required to double
the separation between charges of triangle is :-
(1) –3 F ? (2) 3 F ? (3) 
3
F
2
? ? (4) 
3
F
2
?
17. ????
ˆ ˆ ˆ
A 2i pj qk ? ? ?
?
, ?
ˆ ˆ ˆ
B 5i 7j 3k ? ? ?
?
 ????? A || B
? ?
?? ?? ????p ??q ??? ??? ? ????? :-
(1) 
14
5
 ?? 
6
5
(2) 
14
3
 ??
6
5
(3) 
6
5
 ? 
1
3
(4) 
3
4
 ? 
1
4
18. ?? ??? ??? ??? ??? ??? ? ?? ? ?? ??? ?? ? ?? ? ?? ?? ? ?? ? ??? ? ?? ??
K = ? S
2 
?? ??? ????? ?? ? ????? ?? ?? ?????S ??? ? ?? ??? ??
?? ? ?? ? ????? ?? ? ? ? ?? ? ????? ?? ?? ??:-
(1) [ ?] = [M
1
T
–2
] (2) [ ?] = [M
2
T
–2
]
(3) [ ?] = [M
2
T
–1
] (4) [ ?] = [M
–1
T
2
]
19. ??? ????? ?? ? ??????[5.4 ± 0.2]cm ?? ?? ????? ??? ????? ? ?? ?
??? ?? ??? ??? ?? ????? :-
(1) 11% (2) 4% (3) 7% (4) 9%
20. ??? ?? ?? ?? ??? ???? ??? ?? ????? ?????? ??? ??? ??? ??? ?? ?? ? ?? ??
?? ? ??? ?? ??? ?
(1) ??? = 
??
??? ? ??
(2) ????? ?= ???? ?? × ??????
(3) ?????? ???? ?= 
2
( ? ???? ?
?? ? ? ??
(4) ???? = ????× ?? ?
21. 'a' ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
+q, –q, +q, –q, ? ?????? ??? ??? ????? ???? ?? ?? ? ??????? ????
????? ???? ??????? ?????????? ?? ? ????? ????? ?????? ??? ?? ? ??
?? ?? ?? ??? ???? ???? ? ??????:-
(1)
2
0
q
( 4 2)
4 a
? ?
? ?
(2) 
2
0
q
(4 2 2)
4 a
?
? ?
(3)
2
0
q
(4 2 2)
4 a
?
? ?
(4) 
2
0
q
(4 2)
4 a
?
? ?
22. ? ?? ?? ?? ?? ?? ?? ?? q, A ? ?? ?? ?? ? ? ?? ? ? ? ? ? ? ? ?? ??r ?? ?? ? ? ?
?? ?? ?? ?? ?? ?? P ? ?? ?? ?? ??V ? ? ? ?? ? ? ? ? ? ? ? ?? ?? ? ? ? ?? ?? ?? ?
? ?? ?? ??4r ? ?? ?? ? ? ?? ? ? ? ?? ?? ?? ?? ? ?? ? ? ?? ?? ? ?? ?? ?? ? ? ?
? ??? ? ? ? ? ? ? ? ?? ? ?? ? ? ? ??? ?A ? ?? ? ?? ? ? ? ? ? ?? ? ?? P ? ? ? ? ? ?
? ?? ?? ? ? ?? ?? :-
(1) V (2) 
V
2
(3) 
3 V
2
(4) 
V
8
23. ??? ?? ??? ?????? ??? ??? ? ??? ??? ????? ?? ?? ??? ????? ?? ??? ???????
??? ????? ???? ?? ?? ? ???? ?? ?? ?? ???? ?????????? ??? ?? ?? ?? ?F ?? ?
???? ?????????? ????? ???? ????? ????????? ?????? ??????????
???? ? ??????:-
(1) –3 F ? (2) 3 F ? (3) 
3
F
2
? ? (4) 
3
F
2
?
Page 5


Corporate Office : ???? ? CAREER INSTITUTE, “SANKALP”, CP-6, Indra Vihar, Kota (Rajasthan)-324005
 +91-744-2757575   dlp@allen.ac.in   www.dlp.allen.ac.in, dsat.allen.ac.in
1. A seat marked with Reg. No. will be allotted to each student. The student should ensure that he/she occupies the correct seat only.
If any student is found to have occupied the seat of another student, both the students shall be removed from the examination and
shall have to accept any other penalty imposed upon them.
??????? ??? ????? ? ??? ???? ???? ??? ?? ?? ??? ?? ????? ?????? ???? ? ?? ? ????? ?? ? ????? ???? ? ?????? ??? ??? ?? ??? ?? ???? ??? ??? ??? ????? ? ????? ?? ???? ??? ????? ? ??? ?????? ??
?? ??????? ???? ???????????????? ????? ????? ??? ?? ??????? ??? ??? ???? ?? ???? ????? ??????? ????????? ?? ??????????? ????? ??? ??????????? ?????????
2. Duration of Test is 3 Hours and Questions Paper Contains 180 Questions. The Max.  Marks are 720.
??????? ?????????3 ?????? ????? ???? ???? ?? ?? ??? ?180 ?? ?? ???? ???? ?????? ??? ??720 ? ?? ??
3. Student can not use log tables and calculators or any other material in the examination hall.
??? ????? ?? ??????? ??? ??? ?? ??????? ??? ????????????? ??????? ???? ??? ????? ?? ??????? ?? ?? ??????? ?? ?
4. Student must abide by the instructions issued during the examination, by the invigilators or the centre incharge.
??????? ??? ??????? ????? ?? ??? ???????? ?????? ?? ?????????? ??? ????????? ????? ???????????? ?? ?
5. Before attempting the question paper ensure that it contains all the pages and that no question is missing.
???? ?? ?? ???? ??????????????? ????? ??????? ??????? ?????? ???? ?????? ???? ??????? ?? ??????????? ?
6. Each correct answer carries 4 marks, while 1 mark will be deducted for every wrong answer. Guessing of answer is harmful.
??????? ????????? ??? ??? ????? ??? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ??? ????? ????? ??????? ???? ??????????? ?????? ????? ?
7. Use Blue or Black Ball Point Pen Only to completely darken the appropriate circle.
????????? ??? ??? ???? ?? ??? ?????? ?? ?????? ??? ????? ???????? ?????? ???? ??? ??????? ?????
8. If you want to attempt any question then circle should be properly darkened as shown below, otherwise leave blank.
???? ???? ????? ? ?? ?? ??? ? ??? ????? ??? ?????? ? ???? ?? ?? ???? ????? ???? ?? ??? ? ????? ?? ?????? ???? ?? ????? ?? ??? ??? ?? ????? ?? ????? ???? ?? ???? ?????? ??? ?
Correct Method ( ?????? ???) Wrong Method ( ?????????)
9. Please do not fold the Answer Sheet and do not make any stray marks on it.
?? ???? ????? ?? ?? ??? ??? ? ????? ?????? ???? ???? ?? ???????? ????? ??? ??? ??????? ??????
10. The candidate will not do any rough work on the Answer Sheet.
????????????????? ?? ?? ???????????? ???????? ??? ??? ??????????
11. CHANGING AN ANSWER IS NOT ALLOWED.
?? ?????????? ?? ?? ?? ?? ????? ?? ????
12. Use of Pencil is strictly prohibited
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Ensure that your OMR Answer Sheet has been signed by the Invigilator and the candidate himself/ herself.
??? ??? ???????????OMR ?? ??????? ????? ?? ??? ????? ??? ?????????????????????? ???? ????? ???????? ???? ?
Your Target is to secure Good Rank in Pre-Medical 2019
Do not open this Test Booklet until you are asked to do so
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Important Instructions / ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Form Number :
DISTANCE LEARNING PROGRAMME
(Academic Session : 2018 - 2019)
TARGET : PRE-MEDICAL 2019
LEADER TEST SERIES / JOINT PACKAGE COURSE
Test Type : Unit Test Test # 01 Test Pattern 
:
 NEET-UG
TEST DATE 
:
 08 - 07 - 2018
*0 99 9D MD 3 10 31 80 01 *
Paper Code
(0999DMD310318001)
Leader Test Series/Joint Package Course/NEET-UG/08-07-2018
0999 DM D31 0 31 8001 LT S- 1 /2 6
BEWARE OF NEGATIVE MARKING
HAVE CONTROL ? ? HAVE PATIENCE ? ? HAVE CONFIDENCE ? 100% SUCCESS
1. Distance between two points (2,3,3) and (8,5,0) is:-
(1) 4 (2) 5 (3) 6 (4) 7
2. ? ?
1
3 0.97 is approximately equal to :-
(1) 0.99 (2) 0.01 (3) 0.985 (4) None
3. For the given (y–x) graph, find average value of
y over an interval 0 ? x ? 3 :-
1 2 3
x
y
20
(1) 10 (2) 
50
3
(3) 
20
3
(4) 20
4. The value of 
1 / 2
8
0 0
9x dx cosxdx
?
?
? ?
:-
(1) 1 (2) 3 (3) 4 (4) 2
5. Find the angle made by straight line x + y = 4 with
positive x-axis is :-
(1) 45° (2) 135° (3) 60° (4) 120°
6. The side of a square is increasing at rate of
0.2 cm/s. The rate of increase of perimeter w.r.t.
time is :-
(1) 0.2 cm/s (2) 0.4 cm/s
(3) 0.6 cm/s (4) 0.8 cm/s
7. Two particles A and B are moving in x-y plane. Their
positions vary with time t according to relation :
x
A
(t) = 3t, x
B
(t) = 6 and y
A
(t) = t, y
B
(t) =2+3t
2
.
The distance between these particles at t = 1 is:-
(1) 5 (2) 3 (3) 4 (4) 12
8. Sun rays cast 16m long shadow of a pole, when
Sun is 37° above horizontal. When Sun rises to
53° above horizontal, length of shadow become:-
(1) 8 m (2) 16 m (3) 9 m (4) 4 m
9. The minimum value of the function given below
wil be:
2
4 sin 3 cos ? ? ? ?
(1) 0 (2) 1 (3) 
1
3
(4) 
1
2
1. ???? ?? ?? ?? ????(2,3,3) ?? ? (8,5,0) ??? ?? ?? ?? ? ????? ?? :-
(1) 4 (2) 5 (3) 6 (4) 7
2. ? ?
1
3 0.97 ??? ?? ?? ?? ? ?? ? ???:
(1) 0.99 (2) 0.01 (3) 0.985     (4) ????? ? ?? ??
3. ? ??? ? ??(y–x) ? ?? ? ? ? ? ? ?? ? ??0 ? x ? 3 ? ? ?? ? ? ? ? ? ?
y ??? ? ??? ?? ???? ??? ? ?? ? ?? ?:-
1 2 3
x
y
20
(1) 10 (2) 
50
3
(3) 
20
3
(4) 20
4.
1 / 2
8
0 0
9x dx cosxdx
?
?
? ?
 ??? ??? ? ??????:-
(1) 1 (2) 3 (3) 4 (4) 2
5. ??????????x + y = 4 ?? ?????? ?????x- ??????? ??????????
???? ?? ???? ??? ??? ? ????? :-
(1) 45° (2) 135° (3) 60° (4) 120°
6. ?? ??? ???? ?? ? ??? ???0.2 cm/s ?? ? ??? ??? ??? ??? ?? ?? ???? ??
?? ? ? ?? ?? ??? ?? ??? ?? ??? ?? ?? ?? ? ?? ??? ??:-
(1) 0.2 cm/s (2) 0.4 cm/s
(3) 0.6 cm/s (4) 0.8 cm/s
7. ? ?? ? ? ?? ?A ? B, x-y ? ?? ?? ?? ?? ?? ? ?? ?? ?? ??? ? ?? ? ? ? ?? ??? ? ?? ?
? ?? ?(t) ? ?? ?? ?? ? ? ?? ? ?? ?? ?? ?? ? ? ? ???? ? ? ?? ?? ?? ? ?? ?? ?? ?? ?? :
x
A
(t) = 3t, x
B
(t) = 6 ?????y
A
(t) = t, y
B
(t) =2+3t
2
.
t = 1 ??? ??? ??? ???? ??? ?? ?? ?? ? ????? ?? ?:-
(1) 5 (2) 3 (3) 4 (4) 12
8. ??? ???? ? ??????? ???37° ???? ?? ?? ???? ? ?? ?????? ? ??? ???? ?? ?? ??
?? ????? ?? ? ?????? ?16 m ???? ? ?? ?? ??? ???? ? ??????? ???53°
???? ?? ??? ?? ? ???? ?????? ? ?? ? ? ????? ? ???? ????? :-
(1) 8 m (2) 16 m (3) 9 m (4) 4 m
9. ??? ?? ???? ? ???? ?? ?? ?? ? ???? ?? ? ?? ?? ???? ?? ?
2
4 sin 3 cos ? ? ? ?
(1) 0 (2) 1 (3) 
1
3
(4) 
1
2
TOPIC : Basic Mathematics used in Physics, Vectors, Units, Dimensions and Measurement, Electrostatics.
0999 DM D31 0 31 8001
Target : Pre-Medical 2019/NEET-UG/08-07-2018
LT S- 2 /2 6
10. If ?
1
 + ?
2 
= 
2
?
 and ?
1
 = 2 ?
2 
, then the value of
sin
2
?
1
 + cos
2
?
2
 is :-
(1) 
1
2
(2) 1 (3) 
3
2
(4) 2
11. In the figure shown below the angle in between
A
?
 and B
?
 is :
(C = 
B
2
)
B
A
C
(1) 30° (2) 60° (3) 120° (4) 150°
12. If 
ˆ
ˆ | a b |
ˆ
ˆ
| a b |
?
?
 = 1, the angle between ˆ a and 
ˆ
b is:
(1) 0° (2) 45° (3) 90° (4) 60°
13. 100 coplanar forces each equal to 10 N a acting
body. Each force makes angle 
50
?
 with the
preceding force, what is the resultant of the forces:
(1) 1000 N (2) 500 N
(3) 250 N (4) zero
14. If the ratio of maximum and minimum magnitudes
of the resultant of two vectors a
?
 and b
?
 is 3 : 1
then | a |
?
 is equal to :-
(1) | a |
?
(2) 2 | b |
?
(3) 3 | b |
?
(4) 4 | b |
?
15. The component of vector 
ˆ ˆ ˆ
2i 3j 2k ? ?
perpendicular to 
ˆ ˆ ˆ
i j k ? ? is:-
(1) 
? ?
5
ˆ ˆ ˆ
i 2 j k
3
? ? (2) 
? ?
1
ˆ ˆ ˆ
i j 2k
3
? ?
(3) 
? ?
ˆ ˆ ˆ
7i 10 j 7k
3
? ?
(4) 
? ?
ˆ ˆ ˆ
1 5i 8j 5k
3
? ?
16. The angle between two vectors
ˆ
j
ˆ ˆ
R i k
3
? ? ? ?
?
 and 
? ?
ˆ ˆ ˆ
S Xi 3j X 1 k ? ? ? ?
?
(1) Is obtuse angle (2) Is acute angle
(3) Is right angle (4) Depend on X
10. ???? ?
1
 + ?
2 
= 
2
?
 ?? ? ?
1
 = 2 ?
2 
, ??? sin
2
?
1
 + cos
2
?
2
??? ??? ? ????? :-
(1) 
1
2
(2) 1 (3) 
3
2
(4) 2
11. ????? ? ??? ????? ??? ? ?? ?? A
?
 ? B
?
 ??? ?? ?? ?? ???? ?? ?:-
(C = 
B
2
)
B
A
C
(1) 30° (2) 60° (3) 120° (4) 150°
12. ??? 
ˆ
ˆ | a b |
ˆ
ˆ
| a b |
?
?
 = 1, ???? ???? ˆ a ??
ˆ
b ??? ?? ?? ????? ? ?? ?
(1) 0° (2) 45° (3) 90° (4) 60°
13. 100 ?? ????? ?????? ???? ???10N, ? ??? ??? ?? ??? ?? ? ???
???? ???? ????? ? ??? ????? ????????
50
?
 ????? ? ??????? ? ?? ?? ???
??? ????? ???? ? ?? ??? ? ????? :
(1) 1000 N (2) 500 N
(3) 250 N (4) ?????
14. ??? ? ??? ???? ?? a
?
 ? 
b
?
 ?? ? ??? ??? ?? ?? ??? ?? ? ? ??? ??? ???? ??
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 3 : 1 ? ? ? ? ? ? ? ? | a |
?
 ? ? ? ? ? ?
?? ?:-
(1) | a |
?
(2) 2 | b |
?
(3) 3 | b |
?
(4) 4 | b |
?
15. ? ?? ? ??
ˆ ˆ ˆ
2i 3j 2k ? ? ? ??
ˆ ˆ ˆ
i j k ? ? ? ?? ? ? ? ? ? ? ? ? ? ???
??? ?? ??????:-
(1) ? ?
5
ˆ ˆ ˆ
i 2 j k
3
? ?
(2) ? ?
1
ˆ ˆ ˆ
i j 2k
3
? ?
(3) 
? ?
ˆ ˆ ˆ
7i 10 j 7k
3
? ?
(4) 
? ?
ˆ ˆ ˆ
1 5i 8j 5k
3
? ?
16. ???? ?????? ??? ??? ?? ?? ?? ???
ˆ
j
ˆ ˆ
R i k
3
? ? ? ?
?
 ? 
? ?
ˆ ˆ ˆ
S Xi 3j X 1 k ? ? ? ?
?
(1) ????? ? ? ????? ?? (2) ???? ? ????? ? ??
(3) ?? ? ????? ? ?? (4) X ??? ??????
Leader Test Series/Joint Package Course/NEET-UG/08-07-2018
0999 DM D31 0 31 8001 LT S- 3 /2 6
17. If 
ˆ ˆ ˆ
A 2i pj qk ? ? ?
?
 , 
ˆ ˆ ˆ
B 5i 7j 3k ? ? ?
?
 and A || B
? ?
,
then values of p and q are :-
(1) 
14
5
 and 
6
5
(2) 
14
3
 and 
6
5
(3) 
6
5
 and 
1
3
(4) 
3
4
 and 
1
4
18. Kinetic energy of a particle moving along
elliptical trajectory is given by K = ? S
2
 , where
S is the distance travelled by the particle. The
dimensions of ? are :-
(1) [ ?] = [M
1
T
–2
] (2) [ ?] = [M
2
T
–2
]
(3) [ ?] = [M
2
T
–1
] (4) [ ?] = [M
–1
T
2
]
19. The radius of a ball is [5.4 ± 0.2]cm. The
percentage error in the volume of the ball is :-
(1) 11% (2) 4% (3) 7% (4) 9%
20. Which relation can not obtained dimensionally :
(1) Pressure = 
Force
Area
(2) Volume = Length × Area
(3) Thermal energy = 
2
(Momentum)
Area
(4) Distance = speed × time
21. Four charges +q, –q, +q, –q are placed in order on
the four consecutive corners of a square of side 'a'.
The work done in interchanging the positions of any
two neighbouring charges of opposite sign is :-
(1)
2
0
q
( 4 2)
4 a
? ?
? ?
(2) 
2
0
q
(4 2 2)
4 a
?
? ?
(3)
2
0
q
(4 2 2)
4 a
?
? ?
(4) 
2
0
q
(4 2)
4 a
?
? ?
22. A point charge q is kept at A. The potential at point
P at distance r from it is V and twice of this charge
is distributed uniformly on the surface of a hollow
sphere of radius 4r with centre at point A, the total
potential at point P is :-
(1) V (2) 
V
2
(3) 
3 V
2
(4) 
V
8
23. Three identical charges are placed at corners of
an equilateral triangle of side ?. If force between
any two charges is F, the work required to double
the separation between charges of triangle is :-
(1) –3 F ? (2) 3 F ? (3) 
3
F
2
? ? (4) 
3
F
2
?
17. ????
ˆ ˆ ˆ
A 2i pj qk ? ? ?
?
, ?
ˆ ˆ ˆ
B 5i 7j 3k ? ? ?
?
 ????? A || B
? ?
?? ?? ????p ??q ??? ??? ? ????? :-
(1) 
14
5
 ?? 
6
5
(2) 
14
3
 ??
6
5
(3) 
6
5
 ? 
1
3
(4) 
3
4
 ? 
1
4
18. ?? ??? ??? ??? ??? ??? ? ?? ? ?? ??? ?? ? ?? ? ?? ?? ? ?? ? ??? ? ?? ??
K = ? S
2 
?? ??? ????? ?? ? ????? ?? ?? ?????S ??? ? ?? ??? ??
?? ? ?? ? ????? ?? ? ? ? ?? ? ????? ?? ?? ??:-
(1) [ ?] = [M
1
T
–2
] (2) [ ?] = [M
2
T
–2
]
(3) [ ?] = [M
2
T
–1
] (4) [ ?] = [M
–1
T
2
]
19. ??? ????? ?? ? ??????[5.4 ± 0.2]cm ?? ?? ????? ??? ????? ? ?? ?
??? ?? ??? ??? ?? ????? :-
(1) 11% (2) 4% (3) 7% (4) 9%
20. ??? ?? ?? ?? ??? ???? ??? ?? ????? ?????? ??? ??? ??? ??? ?? ?? ? ?? ??
?? ? ??? ?? ??? ?
(1) ??? = 
??
??? ? ??
(2) ????? ?= ???? ?? × ??????
(3) ?????? ???? ?= 
2
( ? ???? ?
?? ? ? ??
(4) ???? = ????× ?? ?
21. 'a' ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
+q, –q, +q, –q, ? ?????? ??? ??? ????? ???? ?? ?? ? ??????? ????
????? ???? ??????? ?????????? ?? ? ????? ????? ?????? ??? ?? ? ??
?? ?? ?? ??? ???? ???? ? ??????:-
(1)
2
0
q
( 4 2)
4 a
? ?
? ?
(2) 
2
0
q
(4 2 2)
4 a
?
? ?
(3)
2
0
q
(4 2 2)
4 a
?
? ?
(4) 
2
0
q
(4 2)
4 a
?
? ?
22. ? ?? ?? ?? ?? ?? ?? ?? q, A ? ?? ?? ?? ? ? ?? ? ? ? ? ? ? ? ?? ??r ?? ?? ? ? ?
?? ?? ?? ?? ?? ?? P ? ?? ?? ?? ??V ? ? ? ?? ? ? ? ? ? ? ? ?? ?? ? ? ? ?? ?? ?? ?
? ?? ?? ??4r ? ?? ?? ? ? ?? ? ? ? ?? ?? ?? ?? ? ?? ? ? ?? ?? ? ?? ?? ?? ? ? ?
? ??? ? ? ? ? ? ? ? ?? ? ?? ? ? ? ??? ?A ? ?? ? ?? ? ? ? ? ? ?? ? ?? P ? ? ? ? ? ?
? ?? ?? ? ? ?? ?? :-
(1) V (2) 
V
2
(3) 
3 V
2
(4) 
V
8
23. ??? ?? ??? ?????? ??? ??? ? ??? ??? ????? ?? ?? ??? ????? ?? ??? ???????
??? ????? ???? ?? ?? ? ???? ?? ?? ?? ???? ?????????? ??? ?? ?? ?? ?F ?? ?
???? ?????????? ????? ???? ????? ????????? ?????? ??????????
???? ? ??????:-
(1) –3 F ? (2) 3 F ? (3) 
3
F
2
? ? (4) 
3
F
2
?
0999 DM D31 0 31 8001
Target : Pre-Medical 2019/NEET-UG/08-07-2018
LT S- 4 /2 6
24. Two concentric spheres of radii R and 2R are
charged. The inner sphere has a charge of 1µC and
the outer sphere has a charge of 2µC of the same
sign. The potential is 9000 V at a distance 3R from
the common centre. The value of R is :-
(1) 1 m (2) 2 m (3) 3 m (4) 4 m
25. A proton, a deuteron and an alpha particle are
accelerated through potentials of V, 2 V and 4V
respectively, then the ratio of their velocities is:-
(1) 1 : 1 : 1 (2) 1: 2 :1
(3) 2 :1:1 (4) 1:1: 2
26. 1000 drops of same size are charged to a potential
of 1 V each. If they coalesce to form a single drop,
its potential would be :-
(1) V (2) 10 V (3) 100 V     (4) 1000 V
27. A solid sphere of radius R has charge 'q' uniformly
distributed over its volume. The distance from its
surface at which the electrostatic potential is equal
to half of the potential at the centre is :-
(1) R (2) 2R (3) 
R
3
(4) 
R
2
28. Charges 2q and –q are placed at (a, 0) and
(–a, 0) as shown in the figure. The coordinates of
the point at which electric field intensity is zero
will be (x, 0) then :-
–q
+2q
y
x
(1) –a < x < a (2) x < –a
(3) x > –a (4) 0 < x < a
29. Five point charges (+q each) are placed at the five
vertices of a regular hexagon of side 2a. What is
the magnitude of the net electric field at the centre
of the hexagon :
(1) 2
0
1 q
4 a ? ?
(2) 2
0
q
16 a ? ?
(3) 2
0
2q
4 a ? ?
(4) 2
0
5q
16 a ? ?
30. An electrical charge 2 × 10
–8
 C is placed at the
point (1, 2, 4)m. Then at the point (4, 2, 0)m,
(1) electric potential will be 36 V
(2) electric field will be along y-axis
(3) electric field will increase if the space between
the points is filled with a dielectric
(4) All of the above
24. R ? 2R ?????? ????? ???? ???? ??? ?? ???? ?? ????????? ?? ??? ???
?? ?? ? ???? ???? ???? ?? ??? ???????1µC ????? ?? ?? ???? ?? ??? ?? ??
???? ?? ?? ??2µC ??????? ?? ?? ????? ??? ???? ??? ???3R ????? ??
??????9000 V ?? ??R ??? ??? ? ????? :-
(1) 1 m (2) 2 m
(3) 3 m (4) 4 m
25. ????????? ?? ??? ???? ?? ?? ???? ?? ??????????????????? ?? V,
2 V ???? 4V ?????? ??? ?????? ?? ??? ? ??? ?? ?? ???? ??????? ??
???? ??? ??? ? ?????? ?? ?:-
(1) 1 : 1 : 1 (2) 1: 2 :1
(3) 2 :1:1 (4) 1:1: 2
26. ?? ??? ???? ?? ???? ?1000 ?? ????? ? ?? ?? ???? ??? ?? 1V ?????? ??
?????????? ???? ???? ?? ?? ???? ??? ?????? ??? ?? ??? ???? ????
?? ??? ???? ???? ? ?????? ? ???? :-
(1) V (2) 10 V (3) 100 V     (4) 1000 V
27. R ?? ???? ??? ?? ?? ??? ? ??? ?? ?? ? ???? ?? ?? ?? ???? ?? ? ?q ?? ?? ??
???? ??? ??? ??? ??????? ?? ?? ???? ? ?? ?? ??? ?? ? ????? ????
?????????? ???? ??????????????? ??????????????????????????
?????:
(1) R (2) 2R (3) 
R
3
(4) 
R
2
28. ?????? 2q ? –q, ??? ?? (a, 0) ??(–a, 0) ??? ???? ?? ?? ???????
??????? ????? ????? ?? ?? ? ????? ???????????? ?? ??????? ?????? ?? ? ??
?? ?? ?? ??? ???? ???? ?? ?(x, 0) ?? ??? ??? :-
–q
+2q
y
x
(1) –a < x < a (2) x < –a
(3) x > –a (4) 0 < x < a
29. ??? ?? ?? ?? ?? ??????? ???? ????+q), 2a ??? ??? ????? ?? ??? ??? ??
??? ??? ?? ???????? ??? ????? ???? ?? ?? ? ??? ??? ??? ??? ???? ?? ??? ?? ?? ?????
????? ??? ???????? ?? ?? ?? ??????:-
(1) 2
0
1 q
4 a ? ?
(2) 2
0
q
16 a ? ?
(3) 2
0
2q
4 a ? ?
(4) 2
0
5q
16 a ? ?
30. ?????? ??? ?????? 2 × 10
–8
 C ?? ?? ? (1, 2, 4)m ??? ????
?? ? ???? ?? ??? (4, 2, 0)m ?? :-
(1) ?????? ????? 36 V ?????
(2) ?????? ????? ?? ? ?? ????y- ???? ??? ??? ???
(3) ?????? ????? ??? ??? ? ?????? ???? ?? ??? ???? ??? ?? ?? ????? ???
???? ????? ? ???
(4) ?????? ?? ?????
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