Download JNTUK B.Pharm 1-1 2020 Feb B1102 I Mathematics I Question Paper

Download JNTUK (Jawaharlal Nehru Technological University Kakinada / JNTU-Kakinada) B.Pharmacy (Bachelor of Pharmacy) 1-1 (1st Year 1st Sem) 2020 Feb B1102 I Mathematics I Previous Question Paper

Code No: B1102

I B. Pharmacy I Semester Supplementary Examinations, February - 2020
MATHEMATICS-I
Time: 3 hours Max. Marks: 75
Answer any FIVE Questions
All Questions carry Equal Marks
~~~~~~~~~~~~~~~~~~~~~~~~~~

1. a) The sum of the first and the third terms of a geometric progression is 20 and the sum
of its first three terms is 26. Find the progression.
(8M)

b)
Resolve into partial fractions
( )( ) 2 5 2 1
1 2
2
2
+ + ?
?
x x x
x



(7M)
2. a) Find the coefficient of
5
x in
11
1
?
?
?
?
?
?
?
x
x . (7M)
b) Solve the system of equations by using Cramer?s rule.
7 2 3 , 5 3 3 2 , 4 = + ? = + + = + ? z y x z y x z y x .

(8M)
3. a)
Prove that . cos sin
cot 1
sin
tan 1
cos
A A
A
A
A
A
+ =
?
+
?

(8M)
b)
Prove that
4
2
1
9
4
cos
9
3
cos
9
2
cos
9
cos =
? ? ? ?
.

(7M)
4. a) Prove that ? ? ? ? ? cot 8 cot 8 4 tan 4 2 tan 2 tan = + + + (7M)
b) From the top of a hill 300 m high, the angle of depression of top and bottom of a
pillar are
0
30 and
0
60 . Find the height of the pillar.

(8M)
5. a) Find the coordinates of the point which divides internally the line joining the pair of
the points ( ) 2 , 5 and ( ) 9 , 7 in the ratio 7 : 2 .
(8M)
b) Find the locus of the point P whose sum of the distances from the fixed points
( ) 0 , 2 ? A and ( ) 0 , 2 B is 16.

(7M)
6. a)
If ( ) 1 , 2? = A and ( ) 7 , 4 = B and P moves so that area of the triangle PAB is 9 sq.
Units, then find the locus ofP .
(8M)
b) Find the equation of the line passing through origin and the point of intersection of
the lines . 32 5 3 , 15 2 ? = ? = + y x y x


(7M)
7. a)
Evaluate 1 1 lim
2 2
? ? +
? ?
x x
x
.

(8M)
b)
Find left and right derivatives of ( ) | | x x f =


(7M)
8. a) Differentiate
( )
x
x
3
3 +
with respect tox . (8M)

b)
Show that ( )
?
?
?
?
?
>
?
=
1 ,
1 ,
3
2
x x
x x
x f is continuous at 1 = x .

(7M)

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SET - 1 R10

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