Class 10 Exam > Class 10 Notes > Past Year Papers for Class 10 > Mathematics (Standard) 2024 Compartment Exams Set-2
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Page 1
30/S/2 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~2
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 / 2
Page 2
30/S/2 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~2
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 / 2
30/S/2 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. ?? k + 7, 2k – 2 ?? 2k + 6 ?? A.P. ? ??? ???? ? ? , ?? k ?? ??? ?? :
(A) 15 (B) 17
(C) 5 (D) 1
2. x-? ?? ?? ?
? , ?? ?
? ?
(5, – 3) ?? (4, 2) ?? ???
? ?? ?? ??, ?? :
(A) (4.5, 0) (B) (7, 0)
(C) (0.5, 0) (D) (– 7, 0)
3. ‘p’ ?? ?? ??? ?? ? ? ? ??? ? ???? ? ?? ? (3p + 5)x + 2y – 7 = 0 ??
10x – 2y + 7 = 0 ? ?? ? ?? ? ? ?? ? ? ? , ?? :
(A) – 5 (B) 5
(C)
3
5
(D)
5
3
Page 3
30/S/2 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~2
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 / 2
30/S/2 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. ?? k + 7, 2k – 2 ?? 2k + 6 ?? A.P. ? ??? ???? ? ? , ?? k ?? ??? ?? :
(A) 15 (B) 17
(C) 5 (D) 1
2. x-? ?? ?? ?
? , ?? ?
? ?
(5, – 3) ?? (4, 2) ?? ???
? ?? ?? ??, ?? :
(A) (4.5, 0) (B) (7, 0)
(C) (0.5, 0) (D) (– 7, 0)
3. ‘p’ ?? ?? ??? ?? ? ? ? ??? ? ???? ? ?? ? (3p + 5)x + 2y – 7 = 0 ??
10x – 2y + 7 = 0 ? ?? ? ?? ? ? ?? ? ? ? , ?? :
(A) – 5 (B) 5
(C)
3
5
(D)
5
3
30/S/2 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 k + 7, 2k – 2 and 2k + 6 are three consecutive terms of an A.P., then the value
of k is :
(A) 15 (B) 17
(C) 5 (D) 1
2. 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)
3. The value of ‘p’ for which the pair of linear equations (3p + 5)x + 2y – 7 = 0 and
10x – 2y + 7 = 0 has infinitely many solutions is :
(A) – 5 (B) 5
(C)
3
5
(D)
5
3
Page 4
30/S/2 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~2
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 / 2
30/S/2 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. ?? k + 7, 2k – 2 ?? 2k + 6 ?? A.P. ? ??? ???? ? ? , ?? k ?? ??? ?? :
(A) 15 (B) 17
(C) 5 (D) 1
2. x-? ?? ?? ?
? , ?? ?
? ?
(5, – 3) ?? (4, 2) ?? ???
? ?? ?? ??, ?? :
(A) (4.5, 0) (B) (7, 0)
(C) (0.5, 0) (D) (– 7, 0)
3. ‘p’ ?? ?? ??? ?? ? ? ? ??? ? ???? ? ?? ? (3p + 5)x + 2y – 7 = 0 ??
10x – 2y + 7 = 0 ? ?? ? ?? ? ? ?? ? ? ? , ?? :
(A) – 5 (B) 5
(C)
3
5
(D)
5
3
30/S/2 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 k + 7, 2k – 2 and 2k + 6 are three consecutive terms of an A.P., then the value
of k is :
(A) 15 (B) 17
(C) 5 (D) 1
2. 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)
3. The value of ‘p’ for which the pair of linear equations (3p + 5)x + 2y – 7 = 0 and
10x – 2y + 7 = 0 has infinitely many solutions is :
(A) – 5 (B) 5
(C)
3
5
(D)
5
3
30/S/2 Page 4
4. ? ?? ?? ? ?? ? , ? O ?? ?? ?? ?? PA ?? PB ? ? -? ??? ?? ?? ? ?? ?? ?
? ?? 5 cm ?? ? ?? Ð APB = 60 ° ??, ?? PA ?
?? ?? :
(A)
3
5
cm (B) 5 3 cm
(C)
3
10
cm (D) 10 cm
5. ? ??? ? ? ?? ? ? 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
6. ?? ? ?? ? , D ABC ? ? ?????
AB ??? AC ?? ? ?
? X ?? Y ? : ? ? ? ? , ??
AX = 3.4 cm, AB = 8.5 cm, AY = 2.6 cm ?? YC = 3.9 cm ? ?? ? ? ? ? ?
???- ?
? ?? ?? ?
(A) BC = 2XY (B) 3BC = 2XY
(C) BC, XY ? ??
?? ?? ? (D) BC y XY
Page 5
30/S/2 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~2
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 / 2
30/S/2 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. ?? k + 7, 2k – 2 ?? 2k + 6 ?? A.P. ? ??? ???? ? ? , ?? k ?? ??? ?? :
(A) 15 (B) 17
(C) 5 (D) 1
2. x-? ?? ?? ?
? , ?? ?
? ?
(5, – 3) ?? (4, 2) ?? ???
? ?? ?? ??, ?? :
(A) (4.5, 0) (B) (7, 0)
(C) (0.5, 0) (D) (– 7, 0)
3. ‘p’ ?? ?? ??? ?? ? ? ? ??? ? ???? ? ?? ? (3p + 5)x + 2y – 7 = 0 ??
10x – 2y + 7 = 0 ? ?? ? ?? ? ? ?? ? ? ? , ?? :
(A) – 5 (B) 5
(C)
3
5
(D)
5
3
30/S/2 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 k + 7, 2k – 2 and 2k + 6 are three consecutive terms of an A.P., then the value
of k is :
(A) 15 (B) 17
(C) 5 (D) 1
2. 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)
3. The value of ‘p’ for which the pair of linear equations (3p + 5)x + 2y – 7 = 0 and
10x – 2y + 7 = 0 has infinitely many solutions is :
(A) – 5 (B) 5
(C)
3
5
(D)
5
3
30/S/2 Page 4
4. ? ?? ?? ? ?? ? , ? O ?? ?? ?? ?? PA ?? PB ? ? -? ??? ?? ?? ? ?? ?? ?
? ?? 5 cm ?? ? ?? Ð APB = 60 ° ??, ?? PA ?
?? ?? :
(A)
3
5
cm (B) 5 3 cm
(C)
3
10
cm (D) 10 cm
5. ? ??? ? ? ?? ? ? 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
6. ?? ? ?? ? , D ABC ? ? ?????
AB ??? AC ?? ? ?
? X ?? Y ? : ? ? ? ? , ??
AX = 3.4 cm, AB = 8.5 cm, AY = 2.6 cm ?? YC = 3.9 cm ? ?? ? ? ? ? ?
???- ?
? ?? ?? ?
(A) BC = 2XY (B) 3BC = 2XY
(C) BC, XY ? ??
?? ?? ? (D) BC y XY
30/S/2 Page 5 P.T.O.
4. In the given figure, PA and PB are two tangents drawn to the circle with centre O
and radius 5 cm. If Ð APB = 60 °, then the length of PA is :
(A)
3
5
cm (B) 5 3 cm
(C)
3
10
cm (D) 10 cm
5. 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
6. In the figure, X and Y are two points on the sides AB and AC respectively in
D ABC, such that AX = 3.4 cm, AB = 8.5 cm, AY = 2.6 cm and YC = 3.9 cm.
Which of the following relation is correct ?
(A) BC = 2XY (B) 3BC = 2XY
(C) BC is not parallel to XY (D) BC y XY
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