Download PTU B.Sc-Hons 2020 March 1st Sem 76930 Elementary Mathematics Question Paper

Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) B.Sc Hons (Bachelor of Science Honours) 2020 March Previous Question Papers

1 | M-76930 (S2)- 1687
Roll No. Total No. of Pages : 02
Total No. of Questions : 09
B.Sc. (Hons)Agriculture (2019 Batch) (Sem.?1)
ELEMENTARY MATHEMATICS
Subject Code : BSAG-106-19(B)
M.Code : 76930
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.

SECTION-A
1. Write briefly :
a) If the angle between two lines is
4
?
and slope of one of the lines is
1
2
, find the slope
of the other line.
b) Find the equation of a line perpendicular to the line x ? 2y ? 3 = 0 and passing
through the point (1, ?1).
c) Find centre and radius of the circle with equation x
2
+ y
2
+ 8x + 10y ? 8 = 0.
d) Evaluate
1 1
lim
x
x
x
? ?
? ?
.
e) Find
dy
dx
for
1
1
x
y
x
?
?
?
.
f) If A =
2 3
1 4
? ?
? ?
?
? ?
and B =
1 2
1 3
? ? ?
? ?
?
? ?
, then verify that (AB)
T
= B
T
A
T
.
g) Evaluate
2
1 sin
cos
x
dx
x
?
?
.
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1 | M-76930 (S2)- 1687
Roll No. Total No. of Pages : 02
Total No. of Questions : 09
B.Sc. (Hons)Agriculture (2019 Batch) (Sem.?1)
ELEMENTARY MATHEMATICS
Subject Code : BSAG-106-19(B)
M.Code : 76930
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.

SECTION-A
1. Write briefly :
a) If the angle between two lines is
4
?
and slope of one of the lines is
1
2
, find the slope
of the other line.
b) Find the equation of a line perpendicular to the line x ? 2y ? 3 = 0 and passing
through the point (1, ?1).
c) Find centre and radius of the circle with equation x
2
+ y
2
+ 8x + 10y ? 8 = 0.
d) Evaluate
1 1
lim
x
x
x
? ?
? ?
.
e) Find
dy
dx
for
1
1
x
y
x
?
?
?
.
f) If A =
2 3
1 4
? ?
? ?
?
? ?
and B =
1 2
1 3
? ? ?
? ?
?
? ?
, then verify that (AB)
T
= B
T
A
T
.
g) Evaluate
2
1 sin
cos
x
dx
x
?
?
.
2 | M-76930 (S2)- 1687
h) For A =
1
2
3
? ?
? ?
? ?
? ?
? ?
and B = ? ? 2 3 4 , find AB and BA.
i) Differentiate y = xe
x
with respect to x.
j) Evaluate
x x
dx
e e
?
?
?
.

SECTION-B
2. Find the area of a triangle with vertices (4, 4), (3, ?2) and (?3, 16).
3. Find the derivative of f (x) using the first principle where f (x) = sin x.
4. Evaluate ? e
?3x
sin x dx.
5. Find
1
2
(A + A
T
) and
1
2
(A ? A
T
) when A =
0
0
0
a b
a c
b c
? ?
? ?
?
? ?
? ? ? ?
? ?
.
6. Prove that 4 .
b c a a
b c a b abc
c c a b
? ? ?
? ?
? ?
? ?
? ? ?
? ?


SECTION-C
7. Find the condition that the line y = mx + c is tangent to the circle x
2
+ y
2
= a
2
.
8. If y = sin
?1
x, show that (1 ? x
2
)
2
2
0.
d y dy
x
dx dx
? ?
9. Find inverse of the matrix A =
3 2 3
2 1 1
4 3 2
? ? ?
? ?
?
? ?
? ? ?
? ?
.

NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any
page of Answer Sheet will lead to UMC against the Student.
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