Total No. of Questions : 9] SEAT No. :
8
23
P9066 [Total No. of Pages : 4
ic-
[6178]-1
tat
F.E.
7s
ENGINEERING MATHEMATICS - I
7:1
02 91
(2019 Pattern) (Semester - I/II) (Credit System) (107001)
3:2
0
31
Time : 2½ Hours]
8/1 13 [Max. Marks : 70
0
2/2
Instructions to the candidates:
.23 GP
1) Q.1 is compulsory.
2) Attempt Q.2 or Q.3, Q.4 or Q.5, Q.6 or Q.7, Q.8 or Q.9.
E
82
8
C
3) Neat diagrams must be drawn wherever necessary.
23
ic-
4) Figures to the right indicate full marks.
16
tat
5) Use of electronic pocket calculator is allowed.
8.2
7s
6) Assume suitable data, if necessary.
.24
7:1
91
49
3:2
Q1) Write the correct option for the following multiple choice questions.
30
31
∂ 2u
01
02
a) If u = x + y − 3 xy then
3 3
is equal to [1]
∂x∂y
2/2
GP
i) 3 ii) –3
8/1
CE
iii) 2 iv) 0
82
8
23
∂ ( x, y )
.23
b) If x = r cosθ , y = r sin θ then the value of ∂ r ,θ is
( ) ic-
[1]
16
tat
8.2
7s
.24
1
7:1
i) ii) r
91
r
49
3:2
30
iii) r2 iv) None
31
The vectors X1 = ( −1,0,3) , X 2 = ( 2,4,6 ) are
01
02
c) [2]
2/2
GP
i) linearly dependent ii) linearly independent
8/1
iii) mutually orthogonal iv) none of these
CE
82
d) The characteristic equation for the square matrix A is [2]
.23
i) A− λ I = 0 ii) A+ λ I = 0
16
8.2
iii) A2 − λ I = 0 iv) None
.24
P.T.O.
49
8
23
P9066 [Total No. of Pages : 4
ic-
[6178]-1
tat
F.E.
7s
ENGINEERING MATHEMATICS - I
7:1
02 91
(2019 Pattern) (Semester - I/II) (Credit System) (107001)
3:2
0
31
Time : 2½ Hours]
8/1 13 [Max. Marks : 70
0
2/2
Instructions to the candidates:
.23 GP
1) Q.1 is compulsory.
2) Attempt Q.2 or Q.3, Q.4 or Q.5, Q.6 or Q.7, Q.8 or Q.9.
E
82
8
C
3) Neat diagrams must be drawn wherever necessary.
23
ic-
4) Figures to the right indicate full marks.
16
tat
5) Use of electronic pocket calculator is allowed.
8.2
7s
6) Assume suitable data, if necessary.
.24
7:1
91
49
3:2
Q1) Write the correct option for the following multiple choice questions.
30
31
∂ 2u
01
02
a) If u = x + y − 3 xy then
3 3
is equal to [1]
∂x∂y
2/2
GP
i) 3 ii) –3
8/1
CE
iii) 2 iv) 0
82
8
23
∂ ( x, y )
.23
b) If x = r cosθ , y = r sin θ then the value of ∂ r ,θ is
( ) ic-
[1]
16
tat
8.2
7s
.24
1
7:1
i) ii) r
91
r
49
3:2
30
iii) r2 iv) None
31
The vectors X1 = ( −1,0,3) , X 2 = ( 2,4,6 ) are
01
02
c) [2]
2/2
GP
i) linearly dependent ii) linearly independent
8/1
iii) mutually orthogonal iv) none of these
CE
82
d) The characteristic equation for the square matrix A is [2]
.23
i) A− λ I = 0 ii) A+ λ I = 0
16
8.2
iii) A2 − λ I = 0 iv) None
.24
P.T.O.
49
