Download JNTUK (Jawaharlal Nehru Technological University Kakinada / JNTU-Kakinada) B.Pharmacy (Bachelor of Pharmacy) 1-1 (1st Year 1st Sem) 2020 Feb PHR16112 I Remedial Mathematics I Previous Question Paper
Code No: PHR16112
I B. Pharmacy I Semester Supplementary Examinations, February - 2020
REMEDIAL MATHEMATICS-I
Time: 3 hours Max. Marks: 70
Note: 1. Question paper consists of two parts (Part-A and Part-B)
2. Answering the questions in Part-A is Compulsory
3. Answer any FOUR Questions from Part-B
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PART ?A
1. a)
Find the value of
78
8
P
(2M)
b) Write the value of sinh(A-B)
(2M)
c) Find the distance between the points (1 , 2), (-5, 7) (2M)
d) Find
3 2
3
9
x
x
Lt
x
?
?
?
(2M)
e) Evaluate
1
dx
x
?
(2M)
f) Find the Laplace transform of t
2
(2M)
g)
Find the order and degree of the DE
( )
2
11 1
3 2 sin y y y x + + =
(2M)
PART -B
2. a) Find ?x ? if
1 2 4
3 5 8 2
7 10 14
x x x
x x x
x x x
+ + +
+ + + =?
+ + +
(7M)
b)
Resolve
( ) ( )
2
1
1 2 x x ? +
into partial fractions.
(7M)
3. a) If cosec? + cot? = p , then show that (p
2
+1) cos? = p
2
-1 (7M)
b) A flag staff stands upon the top of a building at distance 40m,the angles of
elevation of the top of the flagstaff and building are 60
0
and 30
0
.Find the length
of the flag-staff.
(7M)
4. a) Find the foot of the perpendicular drawn from (4, 1) upon the straight line.
3x -4y +12 = 0.
(7M)
b)
Find the equation of the locus of P if A = ( 4 ,0) ,B = ( -4, 0) and 4 PA PB ? =
(7M)
5. a) Using fundamental theorem find the derivative of sec2x. (7M)
b)
Find the derivate of
1
2
2
Tan
1
x
x
?
? ?
? ?
?
? ?
(7M)
SET - 1
R16
1 of 2
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Code No: PHR16112
I B. Pharmacy I Semester Supplementary Examinations, February - 2020
REMEDIAL MATHEMATICS-I
Time: 3 hours Max. Marks: 70
Note: 1. Question paper consists of two parts (Part-A and Part-B)
2. Answering the questions in Part-A is Compulsory
3. Answer any FOUR Questions from Part-B
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PART ?A
1. a)
Find the value of
78
8
P
(2M)
b) Write the value of sinh(A-B)
(2M)
c) Find the distance between the points (1 , 2), (-5, 7) (2M)
d) Find
3 2
3
9
x
x
Lt
x
?
?
?
(2M)
e) Evaluate
1
dx
x
?
(2M)
f) Find the Laplace transform of t
2
(2M)
g)
Find the order and degree of the DE
( )
2
11 1
3 2 sin y y y x + + =
(2M)
PART -B
2. a) Find ?x ? if
1 2 4
3 5 8 2
7 10 14
x x x
x x x
x x x
+ + +
+ + + =?
+ + +
(7M)
b)
Resolve
( ) ( )
2
1
1 2 x x ? +
into partial fractions.
(7M)
3. a) If cosec? + cot? = p , then show that (p
2
+1) cos? = p
2
-1 (7M)
b) A flag staff stands upon the top of a building at distance 40m,the angles of
elevation of the top of the flagstaff and building are 60
0
and 30
0
.Find the length
of the flag-staff.
(7M)
4. a) Find the foot of the perpendicular drawn from (4, 1) upon the straight line.
3x -4y +12 = 0.
(7M)
b)
Find the equation of the locus of P if A = ( 4 ,0) ,B = ( -4, 0) and 4 PA PB ? =
(7M)
5. a) Using fundamental theorem find the derivative of sec2x. (7M)
b)
Find the derivate of
1
2
2
Tan
1
x
x
?
? ?
? ?
?
? ?
(7M)
SET - 1
R16
1 of 2
Code No: PHR16112
6. a)
Evaluate
( )
( ) 2 1 2 3 x x dx ? +
?
(7M)
b) Find the area of the triangle with the vertices ( -4 ,0) ,(2, 0) & (2 ,6)
(7M)
7. a) Solve the D.E
3 3
2
dy x y
dx xy
+
= (7M)
b) Form the D.E. of family of circles whose centers lies on y-axis and of constant
radius.
(7M)
2 of 2
SET - 1
R16
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This post was last modified on 09 April 2020