8/20/2019 1st PU Maths Nov 2014.pdf
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DISTRICT
LEVEL
MID.TERM
EXAMINATION
.2014
I
P.U.C.
Time
: 3%
Hours
MATHEMATTCS
(3s)
NT 6N
Max.
Marks
: 100
r.
Answer
aII
the
questions.
PAtr(I-A
1.
IfA:
{1,2,3,4,5},
B:
{2,4}
thenfindA_B.
2.
If
n(A)
:
P
and
n(B)
:
q
then
find
the
total
number
of
relations,
3.
Convert
4800
into
radians.
4.
Find
the
value
of
tan
(
lf
)
5.
Find
the
modulus
oflji
Find the
distance
u"r,^}"i,
the
rines
3x
-
4y*
7
:0
and
3x
-
4y
*
5:0
SolveTx+3Y
T
t*
reatx.
20.
How
many
chords
can
be
drawn
through
2r points
on
a
circre?
2l'
Find
the
sum
of all
natural
numbers
lying
betrvero
roo
*Jioro,
*t
i"h
are
multiples
of
5.
22'
Find
the
sum
of first
n
terms
of
the
grornlu.
progression
23'
;l,iT,tiri'ffi;tr(til;il
the
points
('2,6)ana
1i,
eii';.'p*aicurar
to the
rine
through
the
24.
Findthe
equation
of
the
rine passing
through
the
point
(-4,
3)
with
slope
%.
25'
Find
the
equation
of
the parabola
with
focus (2,
0j
and
direckix
x:
-2
III.
Answer
any
ten
questions.
3X10=30
6.
7.
8.
10X1=10
26.
If
U:
{1,2,3,1,5,6,7,g,g\,A:
{
2,4,6,g}
andB:
{2,
3,5,7),veriffthat
(AUB)':A'AB'.
If
f
(x)
=r*1
and g(x)
=
2x-3
then
find
(f+S)
(x),
(fg)
(x)
and
(flg)
(.r).
Prove that
Cos4x
= l-g
Cosrx
Sinrx.
27.
28.
P.T.O.
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8/20/2019 1st PU Maths Nov 2014.pdf
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ri2:i
If tanx
:3/4,7r