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7/30/2019 Paper a Print

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CODE: 1

INSTRUCTIONSQUESTION PAPER FORMAT

1 Section I contains 8 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D), forits answer, out of which only one is correct.

2. Section II contains 4 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D),for its answer, out of which one or more is/are are correct.

3. Section III contains 2 groups of questions. Each group has 3 questions based on a paragraph. Eachquestion has 4 choices (A), (B), (C) and (D) for its answer, out of which only one is correct.

4. Section IV contains 2 questions. Each question has four statements (A, B, C and D) given inColumn I and five statements (p, q, r, s and t) in Column II. Any given statement in Column I canhave correct matching with one or more statement(s) given in Column II. For example, if for a givenquestion, statement B matches with the statements given in q and r, then for that particular question,against statement B, darken the bubbles corresponding to q and r in the ORS

MARKING SCHEME1. For each question in Section I, you will be awarded 3 marks if you darken the bubble corresponding

to the correct answer and zero mark if no bubble is darkened. In case of bubbling of incorrectanswer, minusone (1) mark will be awarded

2. For each question in Section II, you will be awarded 4 marks if you darken the bubble(s)corresponding to the correct choice(s) for the answer, and zero mark if no bubble is darkened. In all

other cases, minusone (1) mark will be awarded.3. For each question in Section III, you will be awarded 4 marks if you darken the bubble

corresponding to the correct answer, and zero mark if no bubble is darkened. In all other cases,minus one (1) mark will be awarded.

4. For each question in Section IV, you will be awarded 2 marks foreach row in which you havedarkened the bubble(s) corresponding to the correct answer. Thus, each question in this section

carries a maximum of 8 marks. There is no negative marking for incorrect answer(s) for this section.

PAPER :A

TIME:1 HOUR MARKS:80

NAME OF THE CANDIDATE

I have read all the instructions and shall abide by them.

...........................................................................

Signature of the candidate

REGISTRATION NUMBER

I have verified all the information filled in by the candidate

Signature of the Invigilator

ALPHA CLASSES-Chandigarh centre-1052/A,Sector 41-B,Chandigarh


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SPACE FPR ROUGH WORK

www.al haclasses.com HELPLINE NO:9878146388

SECTION 1

1 The domain of the functionsi n cos

( ) log ( cos cos ), 0x x

x x x x

A) (0,) B) (0,/2) C) (0,/3) D) none of these

2 If2 2 1/4( ) ( 2 1)x x x has its domain and range such that their union is set of real

numbers, then satisfies

A) -1


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7 The expression2 24 0x px q for all real x and also 2 2r q qr ,then the range of

2 2( )

x rx

x qx p

is ,

A) ,2 2

p q

r r B) (0,) C) (-,0) D) (-,)

8 Letf(x) be a polynomial witb real coefficients sucb that' ''( ) ( ). ( ).x f x f x If f(x)=0 is satisfied

at x=0,1,2 only then the value of' ' '(1). (2). (3)f f is

A) positive B) negative C) 0 D)inadequate data

SECTION 2

9 Let f(x)=1-x-x3,Then the real values of x satisfying the inequality31 ( ) ( ) (1 5 )f x f x f x

are

A) (-2,0) B) (0,2) C) (2,) D) (-,-2)

10 If the fundamental period of2( ) sin cos( 4 )x x a x is 4 then the values of a is/are

A)

15

2 B)

15

2 C)7

2 D)

7

2

11 Let :R R be a function defined by( ) 5

( 1)( ) 3

f xx

f x

,xR,Then which of the

following is/are true

This section contains 4 multiple choice questions .Each question has four choices A),B),C) and D) out of which

ONE OR MORE may be correct


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A) (2008) (2004)f B) (2006) (2010)f

C) (2006) (2002)f D) (2006) (2018)f

12 The function2 3( ) ( ) ( ) ( ) 2( ), ,x y f x y x y f x y x y y x y R and f(1)=2,then

A) f(x) must be apolynomial function B) f(3)=12

C) f(0)=0 D) f(x) may not be differentiable

SECTION III[Linked Comprehension type]

Paragraph for question 13 to 15

Let1

( ) ( )2

xx f xy f

y

for x,y R

+such that

'(1) 0, (1) 2f ,then

13 ( ) ( )x f y is equal to

A)y

x

B)x

y

C) 2x D) 2y

14' (3) is equal to

A) 1/3 B) 2/3 C) 1/2 D) 1/4

15 f(e) is equal to

A) 2 B) 1 C) 3 D) 4

This section contains 2 paragraphs.Based on each paragraph 3 multiple choice questions have to

be answered. Each question has four choices A),B),C) and D) out of which ONLY ONE is

correct


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Paragraph for question 16 to 18

If f(x) is a function such that ( 1) ( 1) 3 ( )x f x f x and f(5)=10,then

16 f(x) is

A) periodic with period 10 B) non periodic

C) periodic with period 12 D)data not sufficient to comment on periodicity

17 the value of19

0

(5 12 )r

f r

A) 100 B) 200 C) 300 D) 400

18 The value of ( 1) ( 5)x f x is equal to

A) 0 B) 1 C) f(x) D) none of these

SECTION IV[Matrix Type]

19

COLUMN -I COLUMN-II

A2 2( ) sin sin cos .cos

3 3x x x x x

Then f(x) is

p Defined for all

real x

This section contains 2 questions. Each question has four statements (A, B, C and D) given in Column I andfive statements (p, q, r, s and t) in Column II. Any given statement in Column I can have correct matching withone or more statement(s) given in Column II. For example, if for a given question, statement B matches withthe statements given in q and r, then for that particular question, against statement B, darken the bubblescorresponding to q and r in the ORS


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B ( ) tan( ) 5 ,xg x e x x where [.] denotes greatest

integer less than or equal to x,then g(x) is

q Even function

C( ) 5

5 1 2x

x xh x

,then h(x) is

r Odd function

D 2( ) 2sin cos 2

4sin .sin cos( ) cos 2( ),

k x x

x x x R

Then k(X) is

s Periodic function

20

COLUMN -I COLUMN-II

A

If 2

1, 0( )

1, 0

x xx

x x

,then f(f(x)) for -1x1

p 3

2

x

BIf

2

2

2 tan (cos 2 1)(sec 2 tan )

1 tan 2

x x x x

x

Then f(x) is

q 2 2x x

CIf

2

( 1) ( ) ( )x y f x f y ,for x,yR and f(0)=1,then

f(x) is equal to

r 1+x

DIf 4

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