TN 11th Question Paper 2026 Business Mathematics

FOR TN 11TH EXAM PREPARATION

TN 11th 2026
Question Paper ·
Business Mathematics
EXAM YEAR TYPE SUBJECT

TN 11th 2026 Question Paper Business Mathematics

Notes · Sample Papers · Previous Year Papers · Mock Tests

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No. of Printed Pages : 15
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!9167IstYearBusinessMathematics! £vÄ Gs
Register Number

PART - III
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BUSINESS MATHEMATICS AND STATISTICS
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ag ( / Tamil & English Version)

Põ» AÍÄ : 3.00 ©o ÷|µ® ] [ ö©õzu ©v¨ö£sPÒ : 90

Time Allowed : 3.00 Hours ] [Maximum Marks : 90

AÔÄøµPÒ : (1) AøÚzx ÂÚõUPЮ \›¯õP £vÁõQ EÒÍuõ GߣuøÚ \›£õºzxU
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AiU÷PõikÁuØS® £¯ß£kzu ÷Ásk®. £h[PÒ ÁøµÁuØS
ö£ß]À £¯ß£kzuÄ®. ag
Instructions : (1) Check the question paper for fairness of printing. If there is any lack of fairness,

inform the Hall Supervisor immediately.

(2) Use Blue or Black ink to write and underline and pencil to draw diagrams.

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a Âøhø¯z ÷uº¢öukzxU SÔ±mkhß Âøh°øÚ²® ÷\ºzx GÊuÄ®.
Note : (i) Answer all the questions.

(ii) Choose the most appropriate answer from the given four alternatives and write

the option code and the corresponding answer.

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1. EÒÏk&öÁαk £S¨£õ´Ä ö\¯À£k® Áõ´¨¤ØPõÚ íõUQßì&ø\©ß
{£¢uøÚPÎß GsoUøP :

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

The number of Hawkins-Simon conditions for the viability of an input-output analysis is :

(a) 4 (b) 1 (c) 2 (d) 3

2.
2
y =−25x £µÁøͯzvß ö\ÆÁP»zvß }Í® :

(A) 5 (B) 25 (C) −25 (D) −5

2
Length of the latus rectum of the parabola y =−25x is :

(a) 5 (b) 25 (c) −25 (d) −5

3.
2
f(x)=x −x+1 GÛÀ , f(x+1) BÚx :

(A) 1 (B) x
2
(C) 2
x +x+1 (D) x

2
If f(x)=x −x+1, then f(x+1) is :

2 2
(a) 1 (b) x (c) x +x+1 (d) x

4. ÷uøÁa \õº¦ G¨ö£õÊx® :

(A) SøÓ¯õu \õº¦ BS® (B) Tk® \õº¦ BS®

(C) Áøµ¯ÖUP¨£hõu \õº¦ BS® (D) SøÓ²® \õº¦ BS®
The demand function is always :

(a) Non-decreasing function (b) Increasing function

(c) Undefined function (d) Decreasing function

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 2 of 16

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4 5 6 6 4 5

5. ∆= 6 4 5 GÛÀ 4 5 6 &ß ©v¨¦
5 6 4 5 6 4

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(A) 3∆ (B) ∆ (C) −3∆ (D) −∆

e m
e m l as
4

l as 5 6 6 4 5

ag
g
If ∆ = 6 4 5 then 4 5 6 is :

a
5 6 4 5 6 4

(a) 3∆ (b) ∆ (c) −3∆ (d) −∆

6. nP =720 (nC ),
r r
GÛÀ, &ß ©v¨¦ r :

om
(A) 6 (B) 4 (C) 7 (D) 5

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If nP =720 (nC ), then r is equal to :
r r

em
(a) 6 (b) 4
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7. S¯® ÁÈa ö\À¾® CµmøhU Szuõ¯® Gߣx :

(A) C¯USÁøµ (B) S¯ |õs (C) Aa_ (D) ö\ÆÁP»®
The double ordinate passing through the focus is :

(a) directrix (b) focal chord (c) axis (d)

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latus rectum

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s e 8. •P ©v¨¦øh¯
` 100 \µUS •u¼ß £[SPøÍ 9% 100

g la
10% PÈÂØS

g la Áõ[SQÓõº GÛÀ, Aa\µUS •u¾UPõÚ •u½k :
a
a (A) ` 5000 (B) ` 9000 (C) ` 4000 (D) ` 6000

A person bought 100 shares of 9% stock of Face value ` 100 at a Discount of 10%. Then the

stock purchased is :

(a) ` 5000 (b) ` 9000 (c) ` 4000 (d) ` 6000

[ v¸¨¦P / Turn over

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9. Cø\a \µõ\› Gߣx __________ uø»RÌ .

(A) ©v¨¦PÎß Tmka \µõ\› (B) ©v¨¦PÎß Cøh {ø»
(C) ©v¨¦PÎß PõÀ©õÚ® (D) ©v¨¦PÎß ö£¸UPÀ \µõ\›
Harmonic mean is the reciprocal of :

(a) Arithmetic mean of the values (b) Median of the values

(c) Quartiles of the values (d) Geometric mean of the values

d  1 
10.  =
2 
dx  x 

−2 1 −1
(A) logx (B) 3
(C) 2
(D) 2
x x x

d  1 
 is equal to :
2 
dx  x 

−2 1 −1
(a) logx (b) (c) (d)
3 2 2
x x x

11. GÊzxUPÒ v¸®£ Áµõu {ø»°À GßÓ Áõºzøu°À EÒÍ “EQUATION”

GÊzxUPøͨ £¯ß£kzv E¸ÁõUP¨£k®, ö£õ¸Ò£k® AÀ»x ö£õ¸Ò£hõ
ÁõºzøuPÎß GsoUøP :

(A) 8!(B) (C) (D) 7! 5! 3!

Number of words with or without meaning that can be formed using letters of the word

“EQUATION”, with no repetition of letters is :

(a) 8! (b) 7! (c) 5! (d) 3!

1 1
12. tan A = ©ØÖ® tan B = GÛÀ, tan(2A+B) &ß ©v¨¦ :
2 3

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

1 1
If tan A = and tan B = then, tan(2A+B) is equal to :
2 3

(a) 3 (b) 1 (c) 4 (d) 2

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13. A ²®, ²® JßøÓ JßÖ Â»US® {PÌa]PÒ GÛÀ
B :

(A) P(A ∪B)=0 (B) P(A ∩B)=0 (C) P(A ∪B)=1 (D) P(A ∩B)=1

The two events A and B are mutually exclusive if :

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(a) P(A ∪B)=0 (b) P(A ∩B)=0 (c) P(A ∪B)=1 (d) P(A ∩B)=1
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öuõhº¦ ÷£õUSU ÷PõkPÒ öÁmiU öPõÒЮ ¦ÒÎ l a
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14. :

l a
(A) ag (0, 0) (B) (X, Y) (C) ( σ
x
, σ
y ) (D) ( X, Y )
The lines of regression intersect at the point :

(a) (0, 0) (b) (X, Y) (c) ( σ
x
, σ
y ) (d) ( X, Y )

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15. R=4000 A»SPÒ/Á¸h® , C =50
1
ø£\õUPÒ , C =` 160
3
GÛÀ, EOQ Cß ©v¨¦ :

(A) 1000 (B) 5000

e m
(C) 200 (D) 160

las
If R=4000 units/year, C =50 paise, C =` 160, then EOQ is :

(a) 1000 (b)
1

5000 ag 3

(c) 200 (d) 160

16. secA sin(2708+A) &ß ©v¨¦ :

(A) sec A
2
(B) −1 (C) 1 (D) cos A
2

The value of secA sin(2708+A) is :

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2 2
(a) sec A (b) −1 (c) 1 (d) cos A

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s e tan θ

g l a
la
lim

a
17. =

g
θ →0 θ

a (A) −∞ (B) 1 (C) θ (D) ∞

tan θ
lim =
θ →0 θ

(a) −∞ (b) 1 (c) θ (d) ∞

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18. JÆöÁõ¸ uÁøn Põ»zvß Bµ®£zvÀ ö\¾zu¨£k® öuõøP :

(A) EhÚi £[Rmkz öuõøP

(B) {ø»¯õÚ uÁøn £[Rmkz öuõøP

(C) Põzv¸¨¦ uÁøn £[Rmkz öuõøP

(D) ÷©ØPsh HxªÀø».
An annuity in which payments are made at the beginning of each payment period is

called :

(a) An immediate annuity

(b) Perpetual annuity

(c) Annuity due

(d) None of the above

19.
2
N=9, Σx=45, Σy=108, Σx =285, Σy =1356, Σxy=597
2
GßÓ ÂÁµ[PÎÀ C¸¢x
JmkÓÄU öPÊÁõÚx :
(A) −0.667 (B) 0.667 (C) 0.70 (D) 0.95

Calculate the correlation coefficient from the following data.

2 2
N=9, Σx=45, Σy=108, Σx =285, Σy =1356, Σxy=597

(a) −0.667 (b) 0.667 (c) 0.70 (d) 0.95

20. öPõkUP¨£mh ÷|›¯À vmhªhÀ PnUQÀ «¨ö£¸©[PÒ AÀ»x «a]Ö©[PÒ
wºÁõÚx GÆÁõÖ AøÇUP¨£kQÓx ?

(A) J¸ Hئøh¯ wºÄ (B) J¸ EP© wºÄ

(C) J¸ wºÄ (D) ÷©ØPsh HxªÀø»
A solution which maximizes or minimizes the given LPP is called :

(a) a feasible solution (b) an optimal solution

(c) a solution (d) none of the above

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 6 of 16

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£Sv – II / PART - II

SÔ¨¦ : GøÁ÷¯Ý® HÊ ÂÚõUPÐUS Âøh¯ÎUPÄ®. ÂÚõ Gs 30 &US
Pmhõ¯©õP Âøh¯ÎUPÄ®. 7x2=14

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Note : Answer any seven questions. Question No. 30 is compulsory.

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C¸ öuõÈØ\õø»PøͲøh¯ ö£õ¸Íõuõµ Aø©¨¤ß öuõÈÀ~m£ Ao
s e m
 0.8
s em íõUQßì&ø\©ß {£¢uøÚPÎߣi Ax ö\¯À£k®
0.2 

g l a


l a
GÛÀ, 
a
ag EÒÍuõ GßÖ Psk¤iUPÄ®
0.9 0.7
 

ÁøP°À .

 0.8 0.2 
The technology matrix of an economic system of two industries is . Test whether
 
0.9 0.7
 

the system is viable as per Hawkins - Simon conditions.

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x 2 −1

wºUP
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22. : 2 5 x =0

−1 2
s e
la
x

x 2 −1 ag
Solve : 2 5 x =0

−1 2 x

23. 2x−y+3=0 ©ØÖ® x+y+2=0 GßÓ ÷|º÷PõkPÐUS Cøh¨£mh

m
SÖ[÷PõnzøuU PõsP .

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Find the acute angle between the lines 2x−y+3=0 and x+y+2=0.

e m
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las 24. ©v¨¦ PõsP. cos(−2108)
ag
ag Find the value of cos(−2108)

25. f(x)=x
n
©ØÖ® f 9(1)=5 GÛÀ, n Cß ©v¨¦ PõsP .

n
If f(x)=x and f 9(1)=5, then find the value of n.

[ v¸¨¦P / Turn over

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26.
2
x=2p −5p+1, p>3 GßÓ AΨ¦a \õº¦US, AΨ¦ ö|QÌa]ø¯U PõsP .

2
Find the elasticity of supply for the supply function x=2p −5p+1, p>3

27. J¸ TmkÓÄ \[Pzvß uø»Áº ÁoPU Pou® ©ØÖ® ¦Òΰ¯À £õhzvÀ
AvP ©v¨ö£s ö£ÖQßÓ ©õnÁ¸US u[P £uUPzøu ¸uõP AÎUP
¸®¦QÓõº. JÆöÁõ¸ Bsk® A¨£uUPzvØPõÚ ö\»Ä GßP. ` 9000

Bsk÷uõÖ® Caö\»ÂøÚ ÷©ØöPõÒÍ BsiØS Tmk Ámi°À 15%

uØ÷£õx AÁº GÆÁÍÄ øÁ¨¦z öuõøPø¯ •u½hõP AÎUP ÷Ásk® ?

The Chairman of a society wishes to award a gold medal to a student getting highest marks

in Business Mathematics and Statistics. If this medal costs ` 9000 every year and the rate of

compound interest is 15%, then what amount of capital is to be kept as Fixed Deposit now ?

28. 22, 4, 2, 12, 16, 6, 10, 18, 14, 20, 8 GßÓ öuõh›ß D
2
©ØÖ® D
6
PõsP.

Find D and D for the following series 22, 4, 2, 12, 16, 6, 10, 18, 14, 20, 8.
2 6

29. GßÓ Áõºzøu°À EÒÍ AøÚzx GÊzxUPøͲ® £¯ß£kzv,
“MISSISSIPPI”

GzuøÚ ÁõºzøuPÒ Aø©UP»õ® ?

How many distinct words can be formed using all the letters of the word “MISSISSIPPI” ?

30. RÌPsh ÂÁµ[PÐUS JmkÓÄU öPÊøÁU PnUQkP .

2 2
Σxy=100, Σx =144, Σy =81

From the following data calculate the correlation coefficient.

2 2
Σxy=100, Σx =144, Σy =81

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 8 of 16

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£Sv – III / PART - III

SÔ¨¦ : GøÁ÷¯Ý® HÊ ÂÚõUPÐUS Âøh¯ÎUPÄ®. ÂÚõ Gs 40 &US
Pmhõ¯©õP Âøh¯ÎUPÄ®. 7x3=21

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Note : Answer any seven questions. Question No. 40 is compulsory.

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÷|º©õÖ Ao •øÓ°À wºUP
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31. :

2x+5y=1 ag
3x+2y=7

Solve by using matrix inversion method :

2x+5y=1

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3x+2y=7

s em
g la ø©¯® ©ØÖ® BµzøuU PõsP
32.
2 2
x +y −8x+6y−24=0
a
GßÓ Ámhzvß .

2 2
Find the centre and radius of the circle x +y −8x+6y−24=0

33.
2 2
GßÓ ÁmhzvØS
x +y +8x+4y+8=0 (2, 3) GßÓ ¦Òΰ¼¸¢x Áøµ¯¨£k®
öuõk÷Põmiß }Í® PõsP .

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2 2

m
Find the length of the tangent from the point (2, 3) to the circle x +y +8x+4y+8=0.

m s e
s e g l a
g la a
a 34. {ÖÄP :
(
cos −θ ) cot ( 90 − θ ) cosec ( 180 − θ )
cos ( 180 +θ ) tan ( 360  − θ ) sec ( 90 − θ )
=1

cos −θ ( ) cot ( 90 − θ ) cosec ( 180 − θ )
Prove that =1
cos ( 180  +θ ) tan ( 360 − θ ) sec ( 90  − θ )

[ v¸¨¦P / Turn over

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dy
35. x=a cosθ, y=a sinθ GÛÀ &I PõsP.
dx

dy
Find if x=a cosθ, y=a sinθ
dx

lim 5 sin 2 x − 2 cos2x
36. ©v¨¤kP :
x →
π

4
3 cos 2 x+2 sin 2 x

lim 5 sin 2 x − 2 cos2x
Evaluate : π
x → 3 cos 2 x+2 sin 2 x
4

37. J¸ {ÖÁÚ® x hßPÒ EØ£zv ö\´²® ö£õÊx Auß ö©õzua ö\»Ä
1 3 2
C ( x )= x −4 x −20 x+7 GÛÀ ,
10

(i) \µõ\›a ö\»Äa \õº¦

(ii) \µõ\› ©õÖ® ö\»Äa \õº¦

(iii) \µõ\› ©õÓõa ö\»Äa \õº¦

PõsP.

1 3 2
A firm produces x tonnes of output at a total cost of C ( x )= x −4 x −20 x+7 .
10

Find the (i) average cost function

(ii) average variable cost function

(iii) average fixed cost function

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 10 of 16

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38. ¦Òΰ¯À ©ØÓ® Pou¯¼À 10 ©õnÁºPÒ ö£ØÓ uµÁ›ø\PÒ R÷Ç
öPõkUP¨£mkÒÍÚ .

¦Òΰ¯À 1 2 3 4 5 6 7 8 9 10

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Pou¯À 1 4 2 5 3 9 7 10 6 8

o m m
. c s e
e m
uµ JmkÓÄU öPÊøÁU PõsP .

l a
l as ag
g
The following are the ranks obtained by 10 students in Statistics and Mathematics.

a
Statistics 1 2 3 4 5 6 7 8 9 10

Mathematics 1 4 2 5 3 9 7 10 6 8

Find the rank correlation coefficient.

o m
Pmk©õÚz vmhzvß ö\¯ÀPÒ ©ØÖ® m
c
. öuõhº£õÚ uPÁÀPÒ RÌUPõq®
39.

s e Áø»¯ø©¨ø£ ÁøµP
Ax

la
AmhÁøn°À uµ¨£mkÒÍx. CuØPõÚ .

ag
ö\¯À A B C D E F G H I J K

EhÚi •¢øu¯
- - - A B B C D E H, I F, G

ö\¯ÀPÒ

Construct the network for each of the projects consisting of various activities and their

precedence relationships are as given below :
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s e I m J K

s e Immediate Predecessors : - - - A B B C

g l a
D E H, I F, G

g la a
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40. D¸Ö¨¦z ÷uØÓzøu¨ £¯ß£kzv (101)
3
&ß Â›Ä PõsP .

3
Using Binomial theorem, evaluate (101) .

[ v¸¨¦P / Turn over

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£Sv & IV / PART - IV

SÔ¨¦ : AøÚzx ÂÚõUPÐUS® Âøh¯ÎUPÄ®. 7x5=35

Note : Answer all the questions.

41. (A) Q÷»õ öÁ[Põ¯® Q÷»õ ÷Põxø© ©ØÖ® Q÷»õ A›]°ß ö©õzu
4 , 3 2

Âø» Q÷»õ öÁ[Põ¯® Q÷»õ ÷Põxø© ©ØÖ® Q÷»õ A›]°ß
` 320, 2 , 4 6

ö©õzu Âø» Q÷»õ öÁ[Põ¯® Q÷»õ ÷Põxø© ©ØÖ® Q÷»õ
` 560, 6 , 2 3

A›]°ß ö©õzu Âø» GÛÀ, ÷|º©õÖ Ao •øÓ°À J¸ ` 380

Q÷»õÂØPõÚ ö£õ¸ÒPÎß Âø»ø¯ PõsP.
AÀ»x
(B) ¤ßÁ¸® ÂÁµ[PÐUS PõÀ©õÚ Â»UPzøu²® ©ØÖ® PõÀ©õÚ Â»UPU
öPÊøÁ²® PõsP .

©v¨ö£sPÒ 0 10 20 30 40 50 60 70

©õnÁºPÎß
150 142 130 120 72 30 12 4

GsoUøP
(a) The cost of 4 kg onion, 3 kg wheat and 2 kg rice is ` 320. The cost of 2 kg onion,

4 kg wheat and 6 kg rice is ` 560. The cost of 6 kg onion, 2 kg wheat and 3 kg rice is

` 380. Find the cost of each item per kg by matrix inversion method.

OR

(b) Calculate Quartile deviation and Coefficient of Quartile deviation of the following data.

Marks 0 10 20 30 40 50 60 70

No. of students 150 142 130 120 72 30 12 4

2
1 a a

2
42. (A) 1 b b (
= a−b ) ( b−c ) ( c−a ) GÚ {ÖÄP.
2
1 c c

AÀ»x
ᑻ
1
(B) A+B=458 GÛÀ , (1+tanA) (1+tanB)=2 GÚ {ÖÄP. Cv¼¸¢x tan 22 &ß
2

©v¨ø£ PõsP .

2
1 a a

2
(a) Evaluate : 1 b b (
= a−b ) ( b−c ) ( c−a )
2
1 c c

OR

(b) If A+B=458, prove that (1+tanA) (1+tanB)=2 and hence deduce the value of

ᑻ
1
tan 22
2

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43. (A) Pouz öuõSzuÔuÀ ‰»® AøÚzx n ∈N US® RÌUPshÁØøÓ {ÖÄP.

2 2
3 3 3 3
n ( n + 1)
1 +2 +3 +...+n =
4

m
AÀ»x

m
(B) ¤ßÁ¸® ÂÁµ[Pμ¸¢x öuõhº¦¨ ÷£õUSU öPÊUPÒ ©ØÖ® öuõhº¦
.co
÷£õUSU ÷PõkPøÍ PõsP
m .co .

s e m
s e l a
ag
X 1 2 3 4 5 6 7

Y

g l a 9 8 10 12 11 13 14

(a) a
By the principle of mathematical induction, prove the following

2 2
3 3 3 3
n ( n + 1)
1 +2 +3 +...+n = for all n ∈N.
4

OR

(b) Calculate the regression coefficient and obtain the lines of regression for the following

data.

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X 1 2 3 4 5 6 7

Y 9 8 10 12 11 13 14

s em
g la
a
x+4

44. (A) ( x
2
−4 )( x+1 ) &I £Sv ¤ßÚ[PÍõP ©õØÖP :

AÀ»x
(B) RÌUPsh ÷|›¯À vmhªhÀ PnUSPøÍ Áøµ£h® ‰»® wºUP .

3x +x
1
≤ ≤ ©ØÖ®
2
≥ GßÓ Pmk¨£õkPÐUS Cn[P
9, x +2x
1 2
8 x , x
1 2
0

&ß ö£¸© ©v¨ø£U PõsP.
z=40x +50x
1 2

m
.co
(a) Resolve into partial fraction :

m
c. o ( x+4

s em
em )( a
2
)
l
x −4 x+1

l as ag
ag
OR

(b) Solve the following Linear Programming Problem by graphical method.

Maximize z=40x +50x
1 2

Subject to 3x +x ≤ 9,
1 2

x +2x ≤8
1 2

and x , x
1 2
≥0

[ v¸¨¦P / Turn over

m .
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 13 of 16

14
9167

45. (A) J¸ uÛ¯õº {ÖÁÚ®, 2012 B® Bsk J¸ GÊzuøµ Fv¯zvØS, ` 20,000

£o°À A©ºzxQÓx. 2017B® Bsk AÁµx Fv¯® BP ` 25,000

E¯ºzu¨£kQÓx GÛÀ,
(i) ÷©Ø£mh ÂÁµ[PøÍ &GÊzu›ß Fv¯® ©ØÖ® & AÁµx £o
y x

BshõPU öPõsk À J¸£i \©ß£õhõP GÊxP.
x, y-

(ii) 2020 B® Bsk AÁµx Fv¯zøu PnUQkP.
AÀ»x
(B) •uÀ ø£°À ]Á¨¦ {Ó £¢xPÒ ©ØÖ® }» {Ó £¢xPЮ, CµshõÁx
3 4

ø£°À ]Á¨¦ {Ó £¢xPÒ ©ØÖ® }» {Ó £¢xPЮ EÒÍÚ. H÷uÝ®
5 6

J¸ ø£°¼¸¢x, ÷uº¢öukUP¨£mh £¢x ]Á¨¦ £¢x GÛÀ, A¨£¢x
CµshõÁx ø£°¼¸¢x ÷uº¢öukUP¨ £kÁuØPõÚ {PÌuPÄ ¯õx ?
(a) A private company appointed a clerk in the year 2012 and his salary was fixed as

` 20,000. In 2017 his salary was raised to ` 25,000.

(i) Express the above information as a linear function in x and y where y-represents

the salary of the clerk and x-represents the year.

(ii) What will be his salary in 2020 ?

OR

(b) Bag I contains 3 red and 4 blue balls while another Bag II contains 5 red and 6 blue

balls. One ball is drawn at random from one of the bags and it is found to be red. Find

the probability that it was drawn from second bag.

46. (A) 3
f(x)=2x +3x −12x
2
GßÓ \õº¤ØS AÖv {ø» (•Pmk) ©v¨¦PøÍU PõsP .

AÀ»x
(B) J¸ {ÇØ£hU Pø»bº, J¸ ¦øP¨£hU P¸Âø¯ uÁøn •øÓ°À
Áõ[SQÓõº. Áõ[Q¯ ÷uv°¼¸¢x JÆöÁõ¸ uÁønUS® GÚ ` 36,000

Á¸hõ¢vµ uÁønPÎÀ
7 Tmk Ámi²hß ö\¾zu ÷Ásk® GÛÀ, 16%

A¨¦øP¨£hU P¸Â°ß A\À Âø» (uØ÷£õøu¯ ©v¨¦) GßÚ ?
7
[(1.16) =2.828]

3 2
(a) Find the extremum values of the function f(x)=2x +3x −12x.

OR

(b) A photographer purchases a camera on installments. He has to pay 7 annual

installments each of ` 36,000 right from the date of purchase. If the rate of compound

interest is 16% then find the cost price (present value) of the camera.

7
[(1.16) =2.828]

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 14 of 16

m
m .co
m .co s em
se g l a
15
a 9167

2 2
∂ u ∂ u
47. (A) 3
u=x +3x y +y
2 2 3
GÛÀ = GߣuøÚ \›£õºUP.
∂x∂y ∂y∂x

AÀ»x
m
(B) x
y=(sinx) +(cosx) m
c. o GÛÀ
x
dy
&I PõsP .

m .co
m
dx

s e
e l a
∂s
(a)
g a
l∂∂
Verify
2
u ∂ u 2

for u=x +3x y +y .
3 2 2 3
ag
a
=
x y ∂y∂x

OR

x x dy
(b) If y=(sinx) +(cosx) then find .
dx

m
.co
- o O o -

e m
las
ag

m
m .co
m .co s em
s e g l a
g la a
a

[ v¸¨¦P / Turn over

m .
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 15 of 16

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 16 of 16