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