Download JNTUK (Jawaharlal Nehru Technological University Kakinada / JNTU-Kakinada) B.Pharmacy (Bachelor of Pharmacy) 1-1 (1st Year 1st Sem) 2020 Feb B13102 I Remedial Mathematics I Previous Question Paper
Code No: B13102
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 question in Part-A is Compulsory
3. Answer any THREE Questions from Part-B
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PART ?A
1. a) Find the number of four letter words that can be formed using the letters of the
word MIXTURE which (i) contain the letter X (ii) do not contain the letter X.
(4M)
b)
Find the value of
0 0
tan 75 cot 75 ?
(4M)
c) Show that the set of points (1, 3) ,(-2 ,-6 ) , (2, 6 ) are collinear. (4M)
d) Find the derivative of cos(x
2
) (3M)
e) Find Laplace transform of sin at. (3M)
f)
Evaluate cot xdx
?
(4M)
PART -B
2. a) Find the term independent of x in the expansion of
17
3
2
7
4x
x
? ?
+
? ?
? ?
(8M)
b)
show that
( )( )( )
1
1
1
bc b c
ac a c a b b c c a
ab b a
+
+ = ? ? ?
+
(8M)
3. a) From a point on the ground, the angle of elevation of summit is found to be
45
0
.After walking 150 mt towards the mountain , the angle of elevation of the
summit is 60
0
. Find the height of the mountain.
(8M)
b)
Prove that
sin sin 5 sin 9
tan 5
cos cos5 cos9
A A A
A
A A A
+ +
=
+ +
(8M)
4. a) Find the equation of the locus of a point which is equidistant from the A(-3,2) and
B (0,4)
(8M)
b) Transform the equation 0 7 2 5 = ? ? y x into
(i) Slope ? Intercept form
(ii) Intercept form
(iii) Normal form
(8M)
5. a) Check the continuity at x = 3 given by
2
2
9
3
( )
2 3
1.5 3
x
if x
f x
x x
if x
? ?
? ?
=
? ? ?
?
=
?
(8M)
b) Find the derivative of y =(tanx)
sinx
(8M)
SET - 1
R13
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Code No: B13102
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 question in Part-A is Compulsory
3. Answer any THREE Questions from Part-B
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PART ?A
1. a) Find the number of four letter words that can be formed using the letters of the
word MIXTURE which (i) contain the letter X (ii) do not contain the letter X.
(4M)
b)
Find the value of
0 0
tan 75 cot 75 ?
(4M)
c) Show that the set of points (1, 3) ,(-2 ,-6 ) , (2, 6 ) are collinear. (4M)
d) Find the derivative of cos(x
2
) (3M)
e) Find Laplace transform of sin at. (3M)
f)
Evaluate cot xdx
?
(4M)
PART -B
2. a) Find the term independent of x in the expansion of
17
3
2
7
4x
x
? ?
+
? ?
? ?
(8M)
b)
show that
( )( )( )
1
1
1
bc b c
ac a c a b b c c a
ab b a
+
+ = ? ? ?
+
(8M)
3. a) From a point on the ground, the angle of elevation of summit is found to be
45
0
.After walking 150 mt towards the mountain , the angle of elevation of the
summit is 60
0
. Find the height of the mountain.
(8M)
b)
Prove that
sin sin 5 sin 9
tan 5
cos cos5 cos9
A A A
A
A A A
+ +
=
+ +
(8M)
4. a) Find the equation of the locus of a point which is equidistant from the A(-3,2) and
B (0,4)
(8M)
b) Transform the equation 0 7 2 5 = ? ? y x into
(i) Slope ? Intercept form
(ii) Intercept form
(iii) Normal form
(8M)
5. a) Check the continuity at x = 3 given by
2
2
9
3
( )
2 3
1.5 3
x
if x
f x
x x
if x
? ?
? ?
=
? ? ?
?
=
?
(8M)
b) Find the derivative of y =(tanx)
sinx
(8M)
SET - 1
R13
1 of 2
Code No: B13102
6. a)
Evaluate
2
cos 2
x
e xdx
?
(8M)
b)
Find the area of the curve y = ( )
2
2 2
x a ? between x=0, x=a
(8M)
7. a)
Form a ODE by eliminating the constants ?c? from
2 2
1 1 y x c x = + + +
(8M)
b) Solve the ODE
3
2 2
3 0
x
ydx xdy x y e dx ? + =
(8M)
2 of 2
SET - 1
R13
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This post was last modified on 09 April 2020