Page 1
30/S/3 Page 1 P.T.O.
narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$
_wI-n¥ð >na Adí` {bIo§ &
Candidates must write the Q.P. Code on
the title page of the answer-book.
Series
#CD BA / S
SET~3
àíZ-nÌ H$moS>
amob Z§.
Q.P. Code
Roll No.
ZmoQ> / NOTE :
(i)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV n¥ð> 27 h¢ &
Please check that this question paper contains 27 printed pages.
(ii)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _| >38 àíZ h¢ &
Please check that this question paper contains 38 questions.
(iii)
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE àíZ-nÌ H$moS H$mo narjmWu CÎma-nwpñVH$m Ho$ _wI-n¥ð> na
{bI| &
Q.P. Code given on the right hand side of the question paper should be written on the
title page of the answer-book by the candidate.
(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| &
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 &
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$)
MATHEMATICS (STANDARD)
{ZYm©[aV g_` : 3 KÊQ>o A{YH$V_ A§H$ : 80
Time allowed : 3 hours Maximum Marks : 80
3 0 / S / 3
Page 2
30/S/3 Page 1 P.T.O.
narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$
_wI-n¥ð >na Adí` {bIo§ &
Candidates must write the Q.P. Code on
the title page of the answer-book.
Series
#CD BA / S
SET~3
àíZ-nÌ H$moS>
amob Z§.
Q.P. Code
Roll No.
ZmoQ> / NOTE :
(i)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV n¥ð> 27 h¢ &
Please check that this question paper contains 27 printed pages.
(ii)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _| >38 àíZ h¢ &
Please check that this question paper contains 38 questions.
(iii)
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE àíZ-nÌ H$moS H$mo narjmWu CÎma-nwpñVH$m Ho$ _wI-n¥ð> na
{bI| &
Q.P. Code given on the right hand side of the question paper should be written on the
title page of the answer-book by the candidate.
(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| &
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 &
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$)
MATHEMATICS (STANDARD)
{ZYm©[aV g_` : 3 KÊQ>o A{YH$V_ A§H$ : 80
Time allowed : 3 hours Maximum Marks : 80
3 0 / S / 3
30/S/3 Page 2
???? ???? ? ??:
? ? ? ? ?? ????? ? ?? ?? ? ?? ? ? ? ? ?? ?? ??? :
(i) ?? -? ? 38 ? ? ???? ?? ??? ? ?
(ii) ?? -? ?? ? ? ? ?? ???? ?? – ?,??,??,?? ??
? ? ?
(iii) ? ???? ? ?
? ?? 1??? 18 ?? ?? ??? (MCQ) ?? ?
? ?? 19???
? 20 ??? ? ??
?
??? ? 1 ?
? ? ? ?
(iv) ? ???? ? ?
? ?? 21??? 25 ?? ? -? ??? (VSA) ?? ? 2 ?
? ? ? ?
(v) ? ???? ? ?
? ?? 26??? 31 ? -? ??? (SA) ?? ? 3 ?
? ? ? ?
(vi) ? ???? ? ?
? ?? 32??? 35 ?? -? ??? (LA) ?? ? 5 ?
? ? ? ?
(vii) ? ???? ? ?
? ?? 36??? 38 ?? ? ? ? ??? ? 4 ?
? ? ? ? ?? ??
? ? ? ? ?
? ? ?? ? 2 ?
? ? ? ? ?? ??? ?? ?
(viii) -? ? ?? ?? ? ? ? ?? ??? ?? ? ? ?? ,? ? ? ? ?2? ? ,? ? ?? ? ?2? ? ,??? ????
? ?2? ? ?? ? ? ?3? ? ?
? ? ?? ? ? ???? ? ?? ??? ?? ?
(ix) ??? ?? ? ? ? ? ? ?? ?? ? ??? ? ??? ?? ? ? p =
7
22
??? ?, ?? ? ? ?? ? ??
??? ? ?
(x) ? ? ? ? ??? ? ??? ???? ?
? ? ? ??
?? ? ? ? ? ?? ??? (MCQ) ? , ?? ? ?? ?
? ? ?? ? 20 ´1=20
1. ?? ? ?
? ?? ? ? ?
? , ?
? ? ? ? 3 ??? ??, ?? ??? ? ??
? ??
(A) 30 ° (B) 45 °
(C) 60 ° (D) 90 °
2. ? ? ? ? ? ? ? ?? ?? ?? ?? ? ? ?
? ?
? ???? ?? ? ? ?? ??
? ? ? ? ?
? ?
? ???? 8 ? 13 ?? ??? ?? ? ??
(A)
36
7
(B)
36
5
(C)
9
2
(D)
4
1
Page 3
30/S/3 Page 1 P.T.O.
narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$
_wI-n¥ð >na Adí` {bIo§ &
Candidates must write the Q.P. Code on
the title page of the answer-book.
Series
#CD BA / S
SET~3
àíZ-nÌ H$moS>
amob Z§.
Q.P. Code
Roll No.
ZmoQ> / NOTE :
(i)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV n¥ð> 27 h¢ &
Please check that this question paper contains 27 printed pages.
(ii)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _| >38 àíZ h¢ &
Please check that this question paper contains 38 questions.
(iii)
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE àíZ-nÌ H$moS H$mo narjmWu CÎma-nwpñVH$m Ho$ _wI-n¥ð> na
{bI| &
Q.P. Code given on the right hand side of the question paper should be written on the
title page of the answer-book by the candidate.
(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| &
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 &
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$)
MATHEMATICS (STANDARD)
{ZYm©[aV g_` : 3 KÊQ>o A{YH$V_ A§H$ : 80
Time allowed : 3 hours Maximum Marks : 80
3 0 / S / 3
30/S/3 Page 2
???? ???? ? ??:
? ? ? ? ?? ????? ? ?? ?? ? ?? ? ? ? ? ?? ?? ??? :
(i) ?? -? ? 38 ? ? ???? ?? ??? ? ?
(ii) ?? -? ?? ? ? ? ?? ???? ?? – ?,??,??,?? ??
? ? ?
(iii) ? ???? ? ?
? ?? 1??? 18 ?? ?? ??? (MCQ) ?? ?
? ?? 19???
? 20 ??? ? ??
?
??? ? 1 ?
? ? ? ?
(iv) ? ???? ? ?
? ?? 21??? 25 ?? ? -? ??? (VSA) ?? ? 2 ?
? ? ? ?
(v) ? ???? ? ?
? ?? 26??? 31 ? -? ??? (SA) ?? ? 3 ?
? ? ? ?
(vi) ? ???? ? ?
? ?? 32??? 35 ?? -? ??? (LA) ?? ? 5 ?
? ? ? ?
(vii) ? ???? ? ?
? ?? 36??? 38 ?? ? ? ? ??? ? 4 ?
? ? ? ? ?? ??
? ? ? ? ?
? ? ?? ? 2 ?
? ? ? ? ?? ??? ?? ?
(viii) -? ? ?? ?? ? ? ? ?? ??? ?? ? ? ?? ,? ? ? ? ?2? ? ,? ? ?? ? ?2? ? ,??? ????
? ?2? ? ?? ? ? ?3? ? ?
? ? ?? ? ? ???? ? ?? ??? ?? ?
(ix) ??? ?? ? ? ? ? ? ?? ?? ? ??? ? ??? ?? ? ? p =
7
22
??? ?, ?? ? ? ?? ? ??
??? ? ?
(x) ? ? ? ? ??? ? ??? ???? ?
? ? ? ??
?? ? ? ? ? ?? ??? (MCQ) ? , ?? ? ?? ?
? ? ?? ? 20 ´1=20
1. ?? ? ?
? ?? ? ? ?
? , ?
? ? ? ? 3 ??? ??, ?? ??? ? ??
? ??
(A) 30 ° (B) 45 °
(C) 60 ° (D) 90 °
2. ? ? ? ? ? ? ? ?? ?? ?? ?? ? ? ?
? ?
? ???? ?? ? ? ?? ??
? ? ? ? ?
? ?
? ???? 8 ? 13 ?? ??? ?? ? ??
(A)
36
7
(B)
36
5
(C)
9
2
(D)
4
1
30/S/3 Page 3 P.T.O.
General Instructions :
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections – A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type questions,
carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case study.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
3 questions in Section E.
(ix) Draw neat diagrams wherever required. Take p =
7
22
wherever required, if not
stated.
(x) Use of calculator is not allowed.
SECTION A
This section comprises Multiple Choice Questions (MCQs) of 1 mark each. 20 ´ 1=20
1. If the length of the shadow on the ground of a pole is 3 times the height of the
pole, then the angle of elevation of the Sun is :
(A) 30 ° (B) 45 °
(C) 60 ° (D) 90 °
2. Two dice are thrown at the same time and the product of the numbers appearing
on them is noted. The probability that the product of the numbers lies between
8 and 13 is
(A)
36
7
(B)
36
5
(C)
9
2
(D)
4
1
Page 4
30/S/3 Page 1 P.T.O.
narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$
_wI-n¥ð >na Adí` {bIo§ &
Candidates must write the Q.P. Code on
the title page of the answer-book.
Series
#CD BA / S
SET~3
àíZ-nÌ H$moS>
amob Z§.
Q.P. Code
Roll No.
ZmoQ> / NOTE :
(i)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV n¥ð> 27 h¢ &
Please check that this question paper contains 27 printed pages.
(ii)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _| >38 àíZ h¢ &
Please check that this question paper contains 38 questions.
(iii)
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE àíZ-nÌ H$moS H$mo narjmWu CÎma-nwpñVH$m Ho$ _wI-n¥ð> na
{bI| &
Q.P. Code given on the right hand side of the question paper should be written on the
title page of the answer-book by the candidate.
(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| &
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 &
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$)
MATHEMATICS (STANDARD)
{ZYm©[aV g_` : 3 KÊQ>o A{YH$V_ A§H$ : 80
Time allowed : 3 hours Maximum Marks : 80
3 0 / S / 3
30/S/3 Page 2
???? ???? ? ??:
? ? ? ? ?? ????? ? ?? ?? ? ?? ? ? ? ? ?? ?? ??? :
(i) ?? -? ? 38 ? ? ???? ?? ??? ? ?
(ii) ?? -? ?? ? ? ? ?? ???? ?? – ?,??,??,?? ??
? ? ?
(iii) ? ???? ? ?
? ?? 1??? 18 ?? ?? ??? (MCQ) ?? ?
? ?? 19???
? 20 ??? ? ??
?
??? ? 1 ?
? ? ? ?
(iv) ? ???? ? ?
? ?? 21??? 25 ?? ? -? ??? (VSA) ?? ? 2 ?
? ? ? ?
(v) ? ???? ? ?
? ?? 26??? 31 ? -? ??? (SA) ?? ? 3 ?
? ? ? ?
(vi) ? ???? ? ?
? ?? 32??? 35 ?? -? ??? (LA) ?? ? 5 ?
? ? ? ?
(vii) ? ???? ? ?
? ?? 36??? 38 ?? ? ? ? ??? ? 4 ?
? ? ? ? ?? ??
? ? ? ? ?
? ? ?? ? 2 ?
? ? ? ? ?? ??? ?? ?
(viii) -? ? ?? ?? ? ? ? ?? ??? ?? ? ? ?? ,? ? ? ? ?2? ? ,? ? ?? ? ?2? ? ,??? ????
? ?2? ? ?? ? ? ?3? ? ?
? ? ?? ? ? ???? ? ?? ??? ?? ?
(ix) ??? ?? ? ? ? ? ? ?? ?? ? ??? ? ??? ?? ? ? p =
7
22
??? ?, ?? ? ? ?? ? ??
??? ? ?
(x) ? ? ? ? ??? ? ??? ???? ?
? ? ? ??
?? ? ? ? ? ?? ??? (MCQ) ? , ?? ? ?? ?
? ? ?? ? 20 ´1=20
1. ?? ? ?
? ?? ? ? ?
? , ?
? ? ? ? 3 ??? ??, ?? ??? ? ??
? ??
(A) 30 ° (B) 45 °
(C) 60 ° (D) 90 °
2. ? ? ? ? ? ? ? ?? ?? ?? ?? ? ? ?
? ?
? ???? ?? ? ? ?? ??
? ? ? ? ?
? ?
? ???? 8 ? 13 ?? ??? ?? ? ??
(A)
36
7
(B)
36
5
(C)
9
2
(D)
4
1
30/S/3 Page 3 P.T.O.
General Instructions :
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections – A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type questions,
carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case study.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
3 questions in Section E.
(ix) Draw neat diagrams wherever required. Take p =
7
22
wherever required, if not
stated.
(x) Use of calculator is not allowed.
SECTION A
This section comprises Multiple Choice Questions (MCQs) of 1 mark each. 20 ´ 1=20
1. If the length of the shadow on the ground of a pole is 3 times the height of the
pole, then the angle of elevation of the Sun is :
(A) 30 ° (B) 45 °
(C) 60 ° (D) 90 °
2. Two dice are thrown at the same time and the product of the numbers appearing
on them is noted. The probability that the product of the numbers lies between
8 and 13 is
(A)
36
7
(B)
36
5
(C)
9
2
(D)
4
1
30/S/3 Page 4
3. ?? ? ? ? x + py = 6 ? x = 15 ? ? ??? ?? ?? ? ?? ? ? ? ?
?
?? ? ? ? ?
? (k, 3) ??, ?? (k, p) ??
(A) (15, 3) (B) (15, – 3)
(C) (3, 15) (D) (–15, 3)
4. x-? ? ?
?
? , ?? ?
?
?
? (5, – 3) ? (4, 2) ? ? ? ?
? ? ? ?? , ??
(A) (4.5, 0) (B) (7, 0)
(C) (0.5, 0) (D) (– 7, 0)
5. ?? x = 5, ? ? ? ? ? 2x
2
+ (k – 1)x + 10 = 0 ? ? ?? , ?? k ? ??
(A) 11 (B) – 11
(C) 13 (D) – 13
6. D XYZ , XY = 6 cm ?? ?? XY ? XZ ? : ? ? ?
? M ?? N ? ????
MN y YZ ? XN =
4
1
XZ, ?? XM
? ??
(A) 1.2 cm (B) 1.5 cm
(C) 2 cm (D) 4 cm
7. ? ?? ??? m ? n ? m = p
5
q
2
?? n = p
3
q
4
, ?? ? p
? q ? ? ?
? ? ?? ? ,
? ? ? ? ?? ?? m ? n LCM ??
(A) p
8
q
6
(B) p
3
q
2
(C) p
5
q
4
(D) p
5
q
2
+ p
3
q
4
Page 5
30/S/3 Page 1 P.T.O.
narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$
_wI-n¥ð >na Adí` {bIo§ &
Candidates must write the Q.P. Code on
the title page of the answer-book.
Series
#CD BA / S
SET~3
àíZ-nÌ H$moS>
amob Z§.
Q.P. Code
Roll No.
ZmoQ> / NOTE :
(i)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV n¥ð> 27 h¢ &
Please check that this question paper contains 27 printed pages.
(ii)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _| >38 àíZ h¢ &
Please check that this question paper contains 38 questions.
(iii)
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE àíZ-nÌ H$moS H$mo narjmWu CÎma-nwpñVH$m Ho$ _wI-n¥ð> na
{bI| &
Q.P. Code given on the right hand side of the question paper should be written on the
title page of the answer-book by the candidate.
(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| &
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 &
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$)
MATHEMATICS (STANDARD)
{ZYm©[aV g_` : 3 KÊQ>o A{YH$V_ A§H$ : 80
Time allowed : 3 hours Maximum Marks : 80
3 0 / S / 3
30/S/3 Page 2
???? ???? ? ??:
? ? ? ? ?? ????? ? ?? ?? ? ?? ? ? ? ? ?? ?? ??? :
(i) ?? -? ? 38 ? ? ???? ?? ??? ? ?
(ii) ?? -? ?? ? ? ? ?? ???? ?? – ?,??,??,?? ??
? ? ?
(iii) ? ???? ? ?
? ?? 1??? 18 ?? ?? ??? (MCQ) ?? ?
? ?? 19???
? 20 ??? ? ??
?
??? ? 1 ?
? ? ? ?
(iv) ? ???? ? ?
? ?? 21??? 25 ?? ? -? ??? (VSA) ?? ? 2 ?
? ? ? ?
(v) ? ???? ? ?
? ?? 26??? 31 ? -? ??? (SA) ?? ? 3 ?
? ? ? ?
(vi) ? ???? ? ?
? ?? 32??? 35 ?? -? ??? (LA) ?? ? 5 ?
? ? ? ?
(vii) ? ???? ? ?
? ?? 36??? 38 ?? ? ? ? ??? ? 4 ?
? ? ? ? ?? ??
? ? ? ? ?
? ? ?? ? 2 ?
? ? ? ? ?? ??? ?? ?
(viii) -? ? ?? ?? ? ? ? ?? ??? ?? ? ? ?? ,? ? ? ? ?2? ? ,? ? ?? ? ?2? ? ,??? ????
? ?2? ? ?? ? ? ?3? ? ?
? ? ?? ? ? ???? ? ?? ??? ?? ?
(ix) ??? ?? ? ? ? ? ? ?? ?? ? ??? ? ??? ?? ? ? p =
7
22
??? ?, ?? ? ? ?? ? ??
??? ? ?
(x) ? ? ? ? ??? ? ??? ???? ?
? ? ? ??
?? ? ? ? ? ?? ??? (MCQ) ? , ?? ? ?? ?
? ? ?? ? 20 ´1=20
1. ?? ? ?
? ?? ? ? ?
? , ?
? ? ? ? 3 ??? ??, ?? ??? ? ??
? ??
(A) 30 ° (B) 45 °
(C) 60 ° (D) 90 °
2. ? ? ? ? ? ? ? ?? ?? ?? ?? ? ? ?
? ?
? ???? ?? ? ? ?? ??
? ? ? ? ?
? ?
? ???? 8 ? 13 ?? ??? ?? ? ??
(A)
36
7
(B)
36
5
(C)
9
2
(D)
4
1
30/S/3 Page 3 P.T.O.
General Instructions :
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections – A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type questions,
carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case study.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
3 questions in Section E.
(ix) Draw neat diagrams wherever required. Take p =
7
22
wherever required, if not
stated.
(x) Use of calculator is not allowed.
SECTION A
This section comprises Multiple Choice Questions (MCQs) of 1 mark each. 20 ´ 1=20
1. If the length of the shadow on the ground of a pole is 3 times the height of the
pole, then the angle of elevation of the Sun is :
(A) 30 ° (B) 45 °
(C) 60 ° (D) 90 °
2. Two dice are thrown at the same time and the product of the numbers appearing
on them is noted. The probability that the product of the numbers lies between
8 and 13 is
(A)
36
7
(B)
36
5
(C)
9
2
(D)
4
1
30/S/3 Page 4
3. ?? ? ? ? x + py = 6 ? x = 15 ? ? ??? ?? ?? ? ?? ? ? ? ?
?
?? ? ? ? ?
? (k, 3) ??, ?? (k, p) ??
(A) (15, 3) (B) (15, – 3)
(C) (3, 15) (D) (–15, 3)
4. x-? ? ?
?
? , ?? ?
?
?
? (5, – 3) ? (4, 2) ? ? ? ?
? ? ? ?? , ??
(A) (4.5, 0) (B) (7, 0)
(C) (0.5, 0) (D) (– 7, 0)
5. ?? x = 5, ? ? ? ? ? 2x
2
+ (k – 1)x + 10 = 0 ? ? ?? , ?? k ? ??
(A) 11 (B) – 11
(C) 13 (D) – 13
6. D XYZ , XY = 6 cm ?? ?? XY ? XZ ? : ? ? ?
? M ?? N ? ????
MN y YZ ? XN =
4
1
XZ, ?? XM
? ??
(A) 1.2 cm (B) 1.5 cm
(C) 2 cm (D) 4 cm
7. ? ?? ??? m ? n ? m = p
5
q
2
?? n = p
3
q
4
, ?? ? p
? q ? ? ?
? ? ?? ? ,
? ? ? ? ?? ?? m ? n LCM ??
(A) p
8
q
6
(B) p
3
q
2
(C) p
5
q
4
(D) p
5
q
2
+ p
3
q
4
30/S/3 Page 5 P.T.O.
3. If (k, 3) is the point of intersection of the lines represented by x + py = 6 and
x = 15, then (k, p) will be :
(A) (15, 3) (B) (15, – 3)
(C) (3, 15) (D) (–15, 3)
4. The point on x-axis which is equidistant from the points (5, – 3) and (4, 2) is
(A) (4.5, 0) (B) (7, 0)
(C) (0.5, 0) (D) (– 7, 0)
5. If x = 5 is a solution of the quadratic equation 2x
2
+ (k – 1)x + 10 = 0, then the
value of k is
(A) 11 (B) – 11
(C) 13 (D) – 13
6. In D XYZ, XY = 6 cm. If M and N are two points on XY and XZ respectively
such that MN y YZ and XN =
4
1
XZ, then the length of XM is :
(A) 1.2 cm (B) 1.5 cm
(C) 2 cm (D) 4 cm
7. Two positive integers m and n are expressed as m = p
5
q
2
and n = p
3
q
4
, where p
and q are prime numbers. The LCM of m and n is :
(A) p
8
q
6
(B) p
3
q
2
(C) p
5
q
4
(D) p
5
q
2
+ p
3
q
4
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