Download DBATU B.Tech 2019 March 2nd Sem Engineering Mathematics II Question Paper

Download DBATU (Dr. Babasaheb Ambedkar Technological University) B Tech (Bachelor of Technology) 2019 March 2nd Sem Engineering Mathematics II Question Paper

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DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY, LONERE Q? R " '
Mid Semester Examination ? March 2019
MN
six.
Course: ? : First Year B. Tech(Group- A angl B) Sem: II ?
Subj ect Name: Engineering Mathemati?s'i? Subject Code: BTBS 201
Max Marks: 20 Date:- 11/03/2019
Duration:- 1 Hr.
Instructions to the students:
1. All questions are compulsory.
2. Use of non-programmable calculator is allowed.
3. Figures to the. right indicate full marks.
(LCVCVCO) Marks
Q. l Attempt the following Questions 1*6=6
1.The polar form the complex number 2 =1 is ' ?CO?
a) (cos 0 + i sinO) b) (cos n + i Simt)
c) View 0 + i sinO) d) (cos; + i sin 2)
9 :/C
o
2. The complex number 2 _= ?-1 + 3i lies in ?- ? , l
a) F i?rst quadrant b) S econd quadrant
0) Third quadrant ? d) F ourth quadrant
3.The circular function sinx is equal ? - ? - ? Icoi
eix+?rix eix__e?-ix eix+e?ix eix_e-ix ,
w b) c) -?~,2 ,d) 2
4: The n?ccssary condition for the differential equation M(x,y) dx + N(x,y) dy =0 , mm
to be exact is -
'a)211=211 a_a?. c) ?14:21.! ) 62142
6y 0x 333/ _ 6x ? 6y 6x ? ax _ 6y
5. The di f f erential equationof an electric circuit containing an inductance L, r * 3C2
Voltage E, the current i is given by
at . di .
a). LE'FRl?E b) La?Rl?E
? di . __ __ Li 5 - ._
C)?LE+RL? E d)d+ l?E
6.The differential equation of family of curves XX: k2 is ------
a)xdx+y?-0 _b)ydy+x?0 c) xdx+y?-0 d) ydy+x?O
i
9
v1 ?394?; w , ? v, ?f " .21
Mm , ?s? ? IV? *1? WW

?xf
Q.2
(A)
(B)
(C)
Q. 3
(A)
(B)
Q.3
? (A)
(?\
Attempt any TWO of the following:
. 1'. . 7?"- % m ~1y
Provethat (x+iy)n+(x-?iy)n=2 x2+y2 cos (:tan ;)
dy_ (y.cosx + siny +y)
Solve ?- " ?-?:?
cinc? (smx + x.cosy+ x)
a?ib] __ a2-?bZ
a+ib _ ?12+b2
Prove that cos [i log
Attempt the following
If 21 and 22 are two complex numbers such that
n
I 21 + 22 I ? I 21?22 I. Prove the difference of their amplitudes is E
A resistance of 100 ohnIIs and inductance of O. 1 henries are connected in series with a
battery of 20 volts. Find the current in the circuit at any time t, if the relation between
L,RandEis L-fii-it+Ri? ? E
OR
Attempt the following
Solve x10 + 11965 + 10 = 0
d
Solve 2% ~? )1 tanx = y?secx
*** End ***
2*3=6 .
Moderate!
C01
Moderate!
C02
Easy!
C01
2*4=8
Moderate
/C01
Dif?cult
2*4=8
Dif?cult
lCOl
Moderate
[?02