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 Page 1


 
 .30/5/2 1 P.T.O. 
narjmWu H$moS >H$mo CÎma-nwpñVH$m Ho$ _wI-n¥ð 
>na Adí` {bIo§ & 
Candidates must write the Code on the 
title page of the answer-book. 
  H$moS> Z§.  
   
 
 
Code No. 
amob Z§. 
Roll No. 
 
 
 
 
ZmoQ> 
 NOTE 
(I) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV 
n¥ð> 23 h¢ & 
(I) Please check that this question 
paper contains 23 printed pages. 
(II) 
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE H$moS 
>Zå~a H$mo N>mÌ CÎma-nwpñVH$m Ho$ _wI-n¥ð> na 
{bI| & 
(II) Code number given on the right 
hand side of the question paper 
should be written on the title page of 
the answer-book by the candidate. 
(III) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _|  
>40 àíZ h¢ & 
(III) Please check that this question 
paper contains 40 questions. 
(IV) 
H¥$n`m àíZ H$m CÎma {bIZm ewê$ H$aZo go 
nhbo, CÎma-nwpñVH$m _| àíZ H$m H«$_m§H$ 
Adí` {bI| & 
(IV) Please write down the Serial 
Number of the question in the 
answer-book before attempting it. 
(V) 
Bg  àíZ-nÌ  H$mo n‹T>Zo Ho$ {bE 15 {_ZQ >H$m 
g_` {X`m J`m h¡ &  àíZ-nÌ H$m {dVaU 
nydm©• _| 10.15 ~Oo {H$`m OmEJm &   
10.15 ~Oo go 10.30 ~Oo VH$ N>mÌ Ho$db 
àíZ-nÌ H$mo n‹T>|Jo Am¡a Bg Ad{Y Ho$ Xm¡amZ 
do CÎma-nwpñVH$m na H$moB© CÎma Zht {bI|Jo & 
(V) 15 minute time has been allotted to 
read this question paper. The 
question paper  will  be  distributed 
at 10.15 a.m. From 10.15 a.m. to 
10.30 a.m., the students will read the 
question paper only and will not 
write any answer on the  
answer-book during this period. 
 
 J{UV (‘mZH$) – g¡ÕmpÝVH$  
MATHEMATICS (STANDARD) – Theory  
{ZYm©[aV g_` : 3 KÊQ>o   A{YH$V_ A§H$ : 80 
Time allowed : 3 hours Maximum Marks : 80 
 
30/5/2
 
Page 2


 
 .30/5/2 1 P.T.O. 
narjmWu H$moS >H$mo CÎma-nwpñVH$m Ho$ _wI-n¥ð 
>na Adí` {bIo§ & 
Candidates must write the Code on the 
title page of the answer-book. 
  H$moS> Z§.  
   
 
 
Code No. 
amob Z§. 
Roll No. 
 
 
 
 
ZmoQ> 
 NOTE 
(I) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV 
n¥ð> 23 h¢ & 
(I) Please check that this question 
paper contains 23 printed pages. 
(II) 
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE H$moS 
>Zå~a H$mo N>mÌ CÎma-nwpñVH$m Ho$ _wI-n¥ð> na 
{bI| & 
(II) Code number given on the right 
hand side of the question paper 
should be written on the title page of 
the answer-book by the candidate. 
(III) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _|  
>40 àíZ h¢ & 
(III) Please check that this question 
paper contains 40 questions. 
(IV) 
H¥$n`m àíZ H$m CÎma {bIZm ewê$ H$aZo go 
nhbo, CÎma-nwpñVH$m _| àíZ H$m H«$_m§H$ 
Adí` {bI| & 
(IV) Please write down the Serial 
Number of the question in the 
answer-book before attempting it. 
(V) 
Bg  àíZ-nÌ  H$mo n‹T>Zo Ho$ {bE 15 {_ZQ >H$m 
g_` {X`m J`m h¡ &  àíZ-nÌ H$m {dVaU 
nydm©• _| 10.15 ~Oo {H$`m OmEJm &   
10.15 ~Oo go 10.30 ~Oo VH$ N>mÌ Ho$db 
àíZ-nÌ H$mo n‹T>|Jo Am¡a Bg Ad{Y Ho$ Xm¡amZ 
do CÎma-nwpñVH$m na H$moB© CÎma Zht {bI|Jo & 
(V) 15 minute time has been allotted to 
read this question paper. The 
question paper  will  be  distributed 
at 10.15 a.m. From 10.15 a.m. to 
10.30 a.m., the students will read the 
question paper only and will not 
write any answer on the  
answer-book during this period. 
 
 J{UV (‘mZH$) – g¡ÕmpÝVH$  
MATHEMATICS (STANDARD) – Theory  
{ZYm©[aV g_` : 3 KÊQ>o   A{YH$V_ A§H$ : 80 
Time allowed : 3 hours Maximum Marks : 80 
 
30/5/2
 
 
 .30/5/2 2 
gm_mÝ` {ZX}e : 
{ZåZ{b{IV {ZX}em| H$mo ~hþV gmdYmZr go n{‹T>E Am¡a CZH$m g™Vr go nmbZ H$s{OE : 
(i) `h àíZ-nÌ Mma IÊS>m| _| {d^m{OV {H$`m J`m h¡ – H$, I, J Ed§ K & Bg àíZ-nÌ _|  
40 àíZ h¢ & g^r àíZ A{Zdm`© h¢ &  
(ii) IÊS> H$ _| àíZ g§»`m 1 go 20 VH$ 20 àíZ h¢ Ed§ àË`oH$ àíZ EH$ A§H$ H$m h¡ &  
(iii) IÊS> I _| àíZ g§»`m 21 go 26 VH$ 6 àíZ h¢ Ed§ àË`oH$ àíZ Xmo A§H$m| H$m h¡ &  
(iv) IÊS> J _| àíZ g§»`m 27 go 34 VH$ 8 àíZ h¢ Ed§ àË`oH$ àíZ VrZ A§H$m| H$m h¡ & 
(v) IÊS> K _| àíZ g§»`m 35 go 40 VH$ 6 àíZ h¢ Ed§ àË`oH$ àíZ Mma A§H$m| H$m h¡ & 
(vi) àíZ-nÌ _| g_J« na H$moB© {dH$ën Zht h¡ & VWm{n EH$-EH$ A§H$ dmbo Xmo àíZm| _|, Xmo-Xmo 
A§H$m| dmbo Xmo àíZm| _|, VrZ-VrZ A§H$m| dmbo VrZ àíZm| _|, Mma-Mma A§H$m| dmbo VrZ àíZm| 
_| Am§V[aH$ {dH$ën {XE JE h¢ & Eogo àíZm| _| Ho$db EH$ hr {dH$ën H$m CÎma {b{IE &  
(vii) BgHo$ A{V[aº$, Amdí`H$VmZwgma, àË`oH$ IÊS> Am¡a àíZ Ho$ gmW `Wmo{MV {ZX}e {XE JE 
h¢ & 
(viii) H¡$bHw$boQ>a Ho$ à`moJ H$s AZw_{V Zht h¡ & 
IÊS> H$ 
àíZ g§»`m 1 go 20 VH$ àË`oH$ àíZ 1 A§H$ H$m h¡ & 
àíZ g§»`m 1 go 10 VH$ ~hþ{dH$ënr` àíZ h¢ & 
ghr {dH$ën Mw{ZE &   
1. ¶{X {ÛKmV g‘rH$aU 2x
2
 + kx + 2 = 0 Ho$ ‘yb g‘mZ hm|, Vmo k H$m _mZ h¡  
(A) 4 
(B) ? 4 
(C) – 4 
(D) 0 
Page 3


 
 .30/5/2 1 P.T.O. 
narjmWu H$moS >H$mo CÎma-nwpñVH$m Ho$ _wI-n¥ð 
>na Adí` {bIo§ & 
Candidates must write the Code on the 
title page of the answer-book. 
  H$moS> Z§.  
   
 
 
Code No. 
amob Z§. 
Roll No. 
 
 
 
 
ZmoQ> 
 NOTE 
(I) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV 
n¥ð> 23 h¢ & 
(I) Please check that this question 
paper contains 23 printed pages. 
(II) 
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE H$moS 
>Zå~a H$mo N>mÌ CÎma-nwpñVH$m Ho$ _wI-n¥ð> na 
{bI| & 
(II) Code number given on the right 
hand side of the question paper 
should be written on the title page of 
the answer-book by the candidate. 
(III) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _|  
>40 àíZ h¢ & 
(III) Please check that this question 
paper contains 40 questions. 
(IV) 
H¥$n`m àíZ H$m CÎma {bIZm ewê$ H$aZo go 
nhbo, CÎma-nwpñVH$m _| àíZ H$m H«$_m§H$ 
Adí` {bI| & 
(IV) Please write down the Serial 
Number of the question in the 
answer-book before attempting it. 
(V) 
Bg  àíZ-nÌ  H$mo n‹T>Zo Ho$ {bE 15 {_ZQ >H$m 
g_` {X`m J`m h¡ &  àíZ-nÌ H$m {dVaU 
nydm©• _| 10.15 ~Oo {H$`m OmEJm &   
10.15 ~Oo go 10.30 ~Oo VH$ N>mÌ Ho$db 
àíZ-nÌ H$mo n‹T>|Jo Am¡a Bg Ad{Y Ho$ Xm¡amZ 
do CÎma-nwpñVH$m na H$moB© CÎma Zht {bI|Jo & 
(V) 15 minute time has been allotted to 
read this question paper. The 
question paper  will  be  distributed 
at 10.15 a.m. From 10.15 a.m. to 
10.30 a.m., the students will read the 
question paper only and will not 
write any answer on the  
answer-book during this period. 
 
 J{UV (‘mZH$) – g¡ÕmpÝVH$  
MATHEMATICS (STANDARD) – Theory  
{ZYm©[aV g_` : 3 KÊQ>o   A{YH$V_ A§H$ : 80 
Time allowed : 3 hours Maximum Marks : 80 
 
30/5/2
 
 
 .30/5/2 2 
gm_mÝ` {ZX}e : 
{ZåZ{b{IV {ZX}em| H$mo ~hþV gmdYmZr go n{‹T>E Am¡a CZH$m g™Vr go nmbZ H$s{OE : 
(i) `h àíZ-nÌ Mma IÊS>m| _| {d^m{OV {H$`m J`m h¡ – H$, I, J Ed§ K & Bg àíZ-nÌ _|  
40 àíZ h¢ & g^r àíZ A{Zdm`© h¢ &  
(ii) IÊS> H$ _| àíZ g§»`m 1 go 20 VH$ 20 àíZ h¢ Ed§ àË`oH$ àíZ EH$ A§H$ H$m h¡ &  
(iii) IÊS> I _| àíZ g§»`m 21 go 26 VH$ 6 àíZ h¢ Ed§ àË`oH$ àíZ Xmo A§H$m| H$m h¡ &  
(iv) IÊS> J _| àíZ g§»`m 27 go 34 VH$ 8 àíZ h¢ Ed§ àË`oH$ àíZ VrZ A§H$m| H$m h¡ & 
(v) IÊS> K _| àíZ g§»`m 35 go 40 VH$ 6 àíZ h¢ Ed§ àË`oH$ àíZ Mma A§H$m| H$m h¡ & 
(vi) àíZ-nÌ _| g_J« na H$moB© {dH$ën Zht h¡ & VWm{n EH$-EH$ A§H$ dmbo Xmo àíZm| _|, Xmo-Xmo 
A§H$m| dmbo Xmo àíZm| _|, VrZ-VrZ A§H$m| dmbo VrZ àíZm| _|, Mma-Mma A§H$m| dmbo VrZ àíZm| 
_| Am§V[aH$ {dH$ën {XE JE h¢ & Eogo àíZm| _| Ho$db EH$ hr {dH$ën H$m CÎma {b{IE &  
(vii) BgHo$ A{V[aº$, Amdí`H$VmZwgma, àË`oH$ IÊS> Am¡a àíZ Ho$ gmW `Wmo{MV {ZX}e {XE JE 
h¢ & 
(viii) H¡$bHw$boQ>a Ho$ à`moJ H$s AZw_{V Zht h¡ & 
IÊS> H$ 
àíZ g§»`m 1 go 20 VH$ àË`oH$ àíZ 1 A§H$ H$m h¡ & 
àíZ g§»`m 1 go 10 VH$ ~hþ{dH$ënr` àíZ h¢ & 
ghr {dH$ën Mw{ZE &   
1. ¶{X {ÛKmV g‘rH$aU 2x
2
 + kx + 2 = 0 Ho$ ‘yb g‘mZ hm|, Vmo k H$m _mZ h¡  
(A) 4 
(B) ? 4 
(C) – 4 
(D) 0 
 
 .30/5/2 3 P.T.O. 
General Instructions : 
Read the following instructions very carefully and strictly follow them : 
(i) This question paper comprises four sections – A, B, C and D. This question 
paper carries 40 questions. All questions are compulsory. 
(ii) Section A : Question Numbers 1 to 20 comprises of 20 questions of one mark 
each. 
(iii) Section B : Question Numbers 21 to 26 comprises of 6 questions of two marks 
each. 
(iv) Section C : Question Numbers 27 to 34 comprises of 8 questions of three 
marks each. 
(v) Section D : Question Numbers 35 to 40 comprises of 6 questions of four marks 
each. 
(vi) There is no overall choice in the question paper. However, an internal choice 
has been provided in 2 questions of one mark, 2 questions of two marks,  
3 questions of three marks and 3 questions of four marks. You have to attempt 
only one of the choices in such questions.  
(vii) In addition to this, separate instructions are given with each section and 
question, wherever necessary. 
(viii) Use of calculators is not permitted. 
SECTION A 
Question numbers 1 to 20 carry 1 mark each.  
Question numbers 1 to 10 are multiple choice questions. 
Choose the correct option.   
1. The value(s) of k for which the quadratic equation 2x
2
 + kx + 2 = 0 has 
equal roots, is  
(A) 4 
(B) ? 4 
(C) – 4 
(D) 0 
Page 4


 
 .30/5/2 1 P.T.O. 
narjmWu H$moS >H$mo CÎma-nwpñVH$m Ho$ _wI-n¥ð 
>na Adí` {bIo§ & 
Candidates must write the Code on the 
title page of the answer-book. 
  H$moS> Z§.  
   
 
 
Code No. 
amob Z§. 
Roll No. 
 
 
 
 
ZmoQ> 
 NOTE 
(I) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV 
n¥ð> 23 h¢ & 
(I) Please check that this question 
paper contains 23 printed pages. 
(II) 
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE H$moS 
>Zå~a H$mo N>mÌ CÎma-nwpñVH$m Ho$ _wI-n¥ð> na 
{bI| & 
(II) Code number given on the right 
hand side of the question paper 
should be written on the title page of 
the answer-book by the candidate. 
(III) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _|  
>40 àíZ h¢ & 
(III) Please check that this question 
paper contains 40 questions. 
(IV) 
H¥$n`m àíZ H$m CÎma {bIZm ewê$ H$aZo go 
nhbo, CÎma-nwpñVH$m _| àíZ H$m H«$_m§H$ 
Adí` {bI| & 
(IV) Please write down the Serial 
Number of the question in the 
answer-book before attempting it. 
(V) 
Bg  àíZ-nÌ  H$mo n‹T>Zo Ho$ {bE 15 {_ZQ >H$m 
g_` {X`m J`m h¡ &  àíZ-nÌ H$m {dVaU 
nydm©• _| 10.15 ~Oo {H$`m OmEJm &   
10.15 ~Oo go 10.30 ~Oo VH$ N>mÌ Ho$db 
àíZ-nÌ H$mo n‹T>|Jo Am¡a Bg Ad{Y Ho$ Xm¡amZ 
do CÎma-nwpñVH$m na H$moB© CÎma Zht {bI|Jo & 
(V) 15 minute time has been allotted to 
read this question paper. The 
question paper  will  be  distributed 
at 10.15 a.m. From 10.15 a.m. to 
10.30 a.m., the students will read the 
question paper only and will not 
write any answer on the  
answer-book during this period. 
 
 J{UV (‘mZH$) – g¡ÕmpÝVH$  
MATHEMATICS (STANDARD) – Theory  
{ZYm©[aV g_` : 3 KÊQ>o   A{YH$V_ A§H$ : 80 
Time allowed : 3 hours Maximum Marks : 80 
 
30/5/2
 
 
 .30/5/2 2 
gm_mÝ` {ZX}e : 
{ZåZ{b{IV {ZX}em| H$mo ~hþV gmdYmZr go n{‹T>E Am¡a CZH$m g™Vr go nmbZ H$s{OE : 
(i) `h àíZ-nÌ Mma IÊS>m| _| {d^m{OV {H$`m J`m h¡ – H$, I, J Ed§ K & Bg àíZ-nÌ _|  
40 àíZ h¢ & g^r àíZ A{Zdm`© h¢ &  
(ii) IÊS> H$ _| àíZ g§»`m 1 go 20 VH$ 20 àíZ h¢ Ed§ àË`oH$ àíZ EH$ A§H$ H$m h¡ &  
(iii) IÊS> I _| àíZ g§»`m 21 go 26 VH$ 6 àíZ h¢ Ed§ àË`oH$ àíZ Xmo A§H$m| H$m h¡ &  
(iv) IÊS> J _| àíZ g§»`m 27 go 34 VH$ 8 àíZ h¢ Ed§ àË`oH$ àíZ VrZ A§H$m| H$m h¡ & 
(v) IÊS> K _| àíZ g§»`m 35 go 40 VH$ 6 àíZ h¢ Ed§ àË`oH$ àíZ Mma A§H$m| H$m h¡ & 
(vi) àíZ-nÌ _| g_J« na H$moB© {dH$ën Zht h¡ & VWm{n EH$-EH$ A§H$ dmbo Xmo àíZm| _|, Xmo-Xmo 
A§H$m| dmbo Xmo àíZm| _|, VrZ-VrZ A§H$m| dmbo VrZ àíZm| _|, Mma-Mma A§H$m| dmbo VrZ àíZm| 
_| Am§V[aH$ {dH$ën {XE JE h¢ & Eogo àíZm| _| Ho$db EH$ hr {dH$ën H$m CÎma {b{IE &  
(vii) BgHo$ A{V[aº$, Amdí`H$VmZwgma, àË`oH$ IÊS> Am¡a àíZ Ho$ gmW `Wmo{MV {ZX}e {XE JE 
h¢ & 
(viii) H¡$bHw$boQ>a Ho$ à`moJ H$s AZw_{V Zht h¡ & 
IÊS> H$ 
àíZ g§»`m 1 go 20 VH$ àË`oH$ àíZ 1 A§H$ H$m h¡ & 
àíZ g§»`m 1 go 10 VH$ ~hþ{dH$ënr` àíZ h¢ & 
ghr {dH$ën Mw{ZE &   
1. ¶{X {ÛKmV g‘rH$aU 2x
2
 + kx + 2 = 0 Ho$ ‘yb g‘mZ hm|, Vmo k H$m _mZ h¡  
(A) 4 
(B) ? 4 
(C) – 4 
(D) 0 
 
 .30/5/2 3 P.T.O. 
General Instructions : 
Read the following instructions very carefully and strictly follow them : 
(i) This question paper comprises four sections – A, B, C and D. This question 
paper carries 40 questions. All questions are compulsory. 
(ii) Section A : Question Numbers 1 to 20 comprises of 20 questions of one mark 
each. 
(iii) Section B : Question Numbers 21 to 26 comprises of 6 questions of two marks 
each. 
(iv) Section C : Question Numbers 27 to 34 comprises of 8 questions of three 
marks each. 
(v) Section D : Question Numbers 35 to 40 comprises of 6 questions of four marks 
each. 
(vi) There is no overall choice in the question paper. However, an internal choice 
has been provided in 2 questions of one mark, 2 questions of two marks,  
3 questions of three marks and 3 questions of four marks. You have to attempt 
only one of the choices in such questions.  
(vii) In addition to this, separate instructions are given with each section and 
question, wherever necessary. 
(viii) Use of calculators is not permitted. 
SECTION A 
Question numbers 1 to 20 carry 1 mark each.  
Question numbers 1 to 10 are multiple choice questions. 
Choose the correct option.   
1. The value(s) of k for which the quadratic equation 2x
2
 + kx + 2 = 0 has 
equal roots, is  
(A) 4 
(B) ? 4 
(C) – 4 
(D) 0 
 
 .30/5/2 4 
2. {ZåZ{b{IV ‘| go H$m¡Z-gr g‘m§Va loT>r Zht  h¡ ? 
(A) – 1·2, 0·8, 2·8, ... 
(B) 3, 3 + 2 , 3 + 2 2 , 3 + 3 2 , ... 
(C) ... ,
3
12
,
3
9
,
3
7
,
3
4
 
(D) ... ,
5
3
,
5
2
,
5
1 ? ? ?
 
3. AmH¥${V-1 ‘|, O Ho$ÝÐ dmbo d¥Îm na ~mø q~Xþ P go Xmo ñne©-aoImE± PQ VWm PR ItMr JB© 
h¢ & d¥Îm H$s {ÌÁ¶m 4 go‘r h¡ & `{X ? QPR = 90 ? h¡, Vmo PQ H$s bå~mB© hmoJr  
(A) 3 go‘r 
(B) 4 go‘r 
(C) 2 go‘r 
(D) 2 2 go‘r 
   
         AmH¥${V-1 
4. q~XþAm| (m, – n) VWm (– m, n) Ho$ ~rM H$s Xÿar h¡  
(A) 
2 2
n m ? 
(B)  m + n 
(C) 
2 2
n m 2 ? 
(D) 
2 2
n 2 m 2 ? 
Page 5


 
 .30/5/2 1 P.T.O. 
narjmWu H$moS >H$mo CÎma-nwpñVH$m Ho$ _wI-n¥ð 
>na Adí` {bIo§ & 
Candidates must write the Code on the 
title page of the answer-book. 
  H$moS> Z§.  
   
 
 
Code No. 
amob Z§. 
Roll No. 
 
 
 
 
ZmoQ> 
 NOTE 
(I) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV 
n¥ð> 23 h¢ & 
(I) Please check that this question 
paper contains 23 printed pages. 
(II) 
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE H$moS 
>Zå~a H$mo N>mÌ CÎma-nwpñVH$m Ho$ _wI-n¥ð> na 
{bI| & 
(II) Code number given on the right 
hand side of the question paper 
should be written on the title page of 
the answer-book by the candidate. 
(III) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _|  
>40 àíZ h¢ & 
(III) Please check that this question 
paper contains 40 questions. 
(IV) 
H¥$n`m àíZ H$m CÎma {bIZm ewê$ H$aZo go 
nhbo, CÎma-nwpñVH$m _| àíZ H$m H«$_m§H$ 
Adí` {bI| & 
(IV) Please write down the Serial 
Number of the question in the 
answer-book before attempting it. 
(V) 
Bg  àíZ-nÌ  H$mo n‹T>Zo Ho$ {bE 15 {_ZQ >H$m 
g_` {X`m J`m h¡ &  àíZ-nÌ H$m {dVaU 
nydm©• _| 10.15 ~Oo {H$`m OmEJm &   
10.15 ~Oo go 10.30 ~Oo VH$ N>mÌ Ho$db 
àíZ-nÌ H$mo n‹T>|Jo Am¡a Bg Ad{Y Ho$ Xm¡amZ 
do CÎma-nwpñVH$m na H$moB© CÎma Zht {bI|Jo & 
(V) 15 minute time has been allotted to 
read this question paper. The 
question paper  will  be  distributed 
at 10.15 a.m. From 10.15 a.m. to 
10.30 a.m., the students will read the 
question paper only and will not 
write any answer on the  
answer-book during this period. 
 
 J{UV (‘mZH$) – g¡ÕmpÝVH$  
MATHEMATICS (STANDARD) – Theory  
{ZYm©[aV g_` : 3 KÊQ>o   A{YH$V_ A§H$ : 80 
Time allowed : 3 hours Maximum Marks : 80 
 
30/5/2
 
 
 .30/5/2 2 
gm_mÝ` {ZX}e : 
{ZåZ{b{IV {ZX}em| H$mo ~hþV gmdYmZr go n{‹T>E Am¡a CZH$m g™Vr go nmbZ H$s{OE : 
(i) `h àíZ-nÌ Mma IÊS>m| _| {d^m{OV {H$`m J`m h¡ – H$, I, J Ed§ K & Bg àíZ-nÌ _|  
40 àíZ h¢ & g^r àíZ A{Zdm`© h¢ &  
(ii) IÊS> H$ _| àíZ g§»`m 1 go 20 VH$ 20 àíZ h¢ Ed§ àË`oH$ àíZ EH$ A§H$ H$m h¡ &  
(iii) IÊS> I _| àíZ g§»`m 21 go 26 VH$ 6 àíZ h¢ Ed§ àË`oH$ àíZ Xmo A§H$m| H$m h¡ &  
(iv) IÊS> J _| àíZ g§»`m 27 go 34 VH$ 8 àíZ h¢ Ed§ àË`oH$ àíZ VrZ A§H$m| H$m h¡ & 
(v) IÊS> K _| àíZ g§»`m 35 go 40 VH$ 6 àíZ h¢ Ed§ àË`oH$ àíZ Mma A§H$m| H$m h¡ & 
(vi) àíZ-nÌ _| g_J« na H$moB© {dH$ën Zht h¡ & VWm{n EH$-EH$ A§H$ dmbo Xmo àíZm| _|, Xmo-Xmo 
A§H$m| dmbo Xmo àíZm| _|, VrZ-VrZ A§H$m| dmbo VrZ àíZm| _|, Mma-Mma A§H$m| dmbo VrZ àíZm| 
_| Am§V[aH$ {dH$ën {XE JE h¢ & Eogo àíZm| _| Ho$db EH$ hr {dH$ën H$m CÎma {b{IE &  
(vii) BgHo$ A{V[aº$, Amdí`H$VmZwgma, àË`oH$ IÊS> Am¡a àíZ Ho$ gmW `Wmo{MV {ZX}e {XE JE 
h¢ & 
(viii) H¡$bHw$boQ>a Ho$ à`moJ H$s AZw_{V Zht h¡ & 
IÊS> H$ 
àíZ g§»`m 1 go 20 VH$ àË`oH$ àíZ 1 A§H$ H$m h¡ & 
àíZ g§»`m 1 go 10 VH$ ~hþ{dH$ënr` àíZ h¢ & 
ghr {dH$ën Mw{ZE &   
1. ¶{X {ÛKmV g‘rH$aU 2x
2
 + kx + 2 = 0 Ho$ ‘yb g‘mZ hm|, Vmo k H$m _mZ h¡  
(A) 4 
(B) ? 4 
(C) – 4 
(D) 0 
 
 .30/5/2 3 P.T.O. 
General Instructions : 
Read the following instructions very carefully and strictly follow them : 
(i) This question paper comprises four sections – A, B, C and D. This question 
paper carries 40 questions. All questions are compulsory. 
(ii) Section A : Question Numbers 1 to 20 comprises of 20 questions of one mark 
each. 
(iii) Section B : Question Numbers 21 to 26 comprises of 6 questions of two marks 
each. 
(iv) Section C : Question Numbers 27 to 34 comprises of 8 questions of three 
marks each. 
(v) Section D : Question Numbers 35 to 40 comprises of 6 questions of four marks 
each. 
(vi) There is no overall choice in the question paper. However, an internal choice 
has been provided in 2 questions of one mark, 2 questions of two marks,  
3 questions of three marks and 3 questions of four marks. You have to attempt 
only one of the choices in such questions.  
(vii) In addition to this, separate instructions are given with each section and 
question, wherever necessary. 
(viii) Use of calculators is not permitted. 
SECTION A 
Question numbers 1 to 20 carry 1 mark each.  
Question numbers 1 to 10 are multiple choice questions. 
Choose the correct option.   
1. The value(s) of k for which the quadratic equation 2x
2
 + kx + 2 = 0 has 
equal roots, is  
(A) 4 
(B) ? 4 
(C) – 4 
(D) 0 
 
 .30/5/2 4 
2. {ZåZ{b{IV ‘| go H$m¡Z-gr g‘m§Va loT>r Zht  h¡ ? 
(A) – 1·2, 0·8, 2·8, ... 
(B) 3, 3 + 2 , 3 + 2 2 , 3 + 3 2 , ... 
(C) ... ,
3
12
,
3
9
,
3
7
,
3
4
 
(D) ... ,
5
3
,
5
2
,
5
1 ? ? ?
 
3. AmH¥${V-1 ‘|, O Ho$ÝÐ dmbo d¥Îm na ~mø q~Xþ P go Xmo ñne©-aoImE± PQ VWm PR ItMr JB© 
h¢ & d¥Îm H$s {ÌÁ¶m 4 go‘r h¡ & `{X ? QPR = 90 ? h¡, Vmo PQ H$s bå~mB© hmoJr  
(A) 3 go‘r 
(B) 4 go‘r 
(C) 2 go‘r 
(D) 2 2 go‘r 
   
         AmH¥${V-1 
4. q~XþAm| (m, – n) VWm (– m, n) Ho$ ~rM H$s Xÿar h¡  
(A) 
2 2
n m ? 
(B)  m + n 
(C) 
2 2
n m 2 ? 
(D) 
2 2
n 2 m 2 ? 
 
 .30/5/2 5 P.T.O. 
2. Which of the following is not an A.P. ? 
(A) – 1·2, 0·8, 2·8, ... 
(B) 3, 3 + 2 , 3 + 2 2 , 3 + 3 2 , ... 
(C) ... ,
3
12
,
3
9
,
3
7
,
3
4
 
(D) ... ,
5
3
,
5
2
,
5
1 ? ? ?
 
3. In Figure-1, from an external point P, two tangents PQ and PR are 
drawn to a circle of radius 4 cm with centre O. If ? QPR = 90 ?, then 
length of PQ is  
(A) 3 cm 
(B) 4 cm 
(C) 2 cm 
(D) 2 2 cm 
 
   
 
   Figure-1 
4. The distance between the points (m, – n) and (– m, n) is  
(A) 
2 2
n m ? 
(B)  m + n 
(C) 
2 2
n m 2 ? 
(D) 
2 2
n 2 m 2 ? 
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