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Remedial Mathematics Test Paper: Exercises and Questions | PTU, Study notes of Educational Mathematics

equations which are reducible to quadratics, properties of solutions of simultaneous equations, pharmaceutical applications of determinants and the concepts of matrices, Cramer’s rule, definitions of the concepts of special kinds of matrices

Typology: Study notes

2010/2011

Uploaded on 10/02/2011

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bg1
LU*TV
Roll No.
Total
No. of
Questions
: 101 lTbtal No. of Pages
: 03
Paper
ID [PHII?]
lPlease fill this Paper ID in ONIR Sheet)
B.Pharmacy
(Semester
- I't)
REMEDIAL N,IATHS
(PHM - 1.1.2)
(M)
Time : 03
Hours Maximum Marks : 80
Instruction fo Candidates
:
1) Section
- A is compulsory.
2) Attempt
any Four questions
fiorn Section
- B.
v 3) Attempt
any
Three
questions
from
Section
- C.
Section
-
A"
QI) (ts
x2 = 30)
a) Distinguish
between
matrices
and deterrninants.
b) Show that
(3, l), (7
,3)
and
(-3, -2) lie
on
the same
straight
line.
c) Reducing
the equation
5x + 2y + ct
= 0 to slope-intercept
form,
er.'aluate
its intercept
and
slope.
d) ProvecosC-cos
D=2rin [c*D). sin
fPl)
\ 2/ \ 2 )
v e) Solve logro
(2x
- 1)
+ log,o
r = 1.
f) What
are syffurretric,
scalar
and
singular
matrices?
g) A strip of l0 capsules
has
mean
weight
of 260
mg. If the
mean
of 6
capsules
of these is 250
mg. then find
the
mean
of the
remaining
capsules.
h) Express all t-ratios
of A interms
of sin
A.
i) Integrate x2 log
x with respect
to ',r'.
j) Diff'erentiate
.v2 from the
first principles
(ab
initio).
k) If
.r'=
log(sin.r),
find
4- 4 unC
4.
rl.t cl.t'' r1_r''
J-1745 PT.O.
pf3

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Download Remedial Mathematics Test Paper: Exercises and Questions | PTU and more Study notes Educational Mathematics in PDF only on Docsity!

LU*TV

Roll No.

TotalNo.of Questions : 101

lTbtal No. of Pages: 03

PaperID [PHII?]

lPlease fill this Paper ID in ONIR Sheet)

B.Pharmacy

(Semester

  • I't)
REMEDIAL N,IATHS
(PHM - 1.1.2)(M)

Time : 03 Hours

Maximum Marks : 80

Instruction fo Candidates:

Section- A is compulsory.

  1. Attempt any Four questions fiorn Section- B.

v

  1. Attemptany Three questions from Section- C.

Section

- A"

QI)

(ts x2 = 30)

a) Distinguishbetweenmatricesand

deterrninants.

b) Showthat

(3, l), (7,3) and (-3, -2) lie on the samestraightline.

c) Reducingthe equation5x + 2y + ct= 0 to slope-intercept

form, er.'aluate

its interceptand slope.

d ) P r o v e c o s C - c o sD = 2 r i n

[ c * D ).

s i n

f P l )

\
\ 2 )

v

e) Solvelogro

(2x

    • log,or = 1.

f) What are syffurretric,scalarand singularmatrices?

g) A strip of l0 capsuleshas mean weight of 260 mg. If the mean of 6

capsulesof theseis 250 mg. thenfind themeanof theremainingcapsules.

h) Expressall t-ratiosof A intermsof sin A.

i) Integratex2 log x with respect to

',r'.

j) Diff'erentiate.v2from the first principles(ab initio).

k ) I f. r ' =l o g ( s i n. r ) ,f i n d 4 - 4

u n C.

rl.t cl.t'' r1_r''

PT.O.

r) Solvefbr.r and1,:

x * ] t = 5

x 2 + ' l ' 2

= 1 3

in) Differentiatebetween:

n )

o)

(i) Naperiomand cornmonlogarithms.

(ii) Real and complex numbers.

Finclthe slopeof a line whoseinclinatiolls are

ft/,

md

Differentiatebetweer] lnean,nlode and rnedian.

Section

- I!

Q2) Giventlreco-ordinatcs

ot'3 vertices.derii,eth.:forrnulir for

triangle.Hclw can it def"ectcoiiinearity?L.lsrng the fbr-nrula,

triangleforrnedby (2, -3), (4,6) and (3, 2).

Q3) A cylindricalreservoircontainingan expectorant

syrupmeasrlres2.25 ntin

height and3.64m in external diarneter.If it is rnadeof 7 cm thick metal.tind

(i) how many cubic metelsof syrup wor-rldtre removeclto lorverthe levels

from 1.9m to 1.2m (ii) costincr.trrecl t;n

painting theinnr'lsur{ace@ Rs"25-

per m:.

1 1

anclcos fi

=i,

find the values of sin

{a* fr), cos {a-F)

and

( 4 x 5 = 2 ( t )

finding arcaof a

find the aleaof a

0 4 l f s i n. l = l l

t 7

tan

\a

  • {}).

Q5)

Diti'els'ntiate

( i ) , r n - ' f- l l l - i t i i l

1 * - \ i i f

' r. \ ' '

r r i. r r ( r .? +

\ I + cos.r.l

.L il

Q6) Find rnean,mediatrand

urodcfiom the follorving frequencytable.

I o- io

I

I ro-zo

I

i

l:o-+o

I

|+o

su

='l

jei

i

"i

I

tul

ioi

_i _q_i