Series WX1YZ/2 SET~1
Q.P. Code 30/2/1
Roll No. 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.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
*
:3 : 80
Time allowed : 3 hours Maximum Marks : 80
ZmoQ> / NOTE :
(i) - 23
Please check that this question paper contains 23 printed pages.
(ii) - - -
-
Q.P. Code given on the right hand side of the question paper should be written on the title
page of the answer-book by the candidate.
(iii) - 38
Please check that this question paper contains 38 questions.
(iv) -
Please write down the serial number of the question in the answer-book before
attempting it.
(v) - 15 -
10.15 10.15 10.30 -
-
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this period.
30/2/1 JJJJ Page 1 P.T.O.
, :
:
(i) 38
(ii)
(iii) 1 18 (MCQ) 19 20
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38
(viii) 2 2
2 3
22
(ix) =
7
(x)
IÊS> H$
(MCQ) 1
1. {ZåZ{b{IV _| go {H$g {ÛKmV g_rH$aU Ho$ _ybm| H$m `moJ\$b 4 h¡ ?
(a) 2x2 4x + 8 = 0 (b) x2 + 4x + 4 = 0
4
(c) 2 x2 x+1=0 (d) 4x2 4x + 4 = 0
2
2. {ÌÁ`m 14 cm dmbo EH$ d¥Îm Ho$ {ÌÁ`I§S>, {OgH$m Ho$ÝÐr` H$moU 90 h¡, H$s g§JV Mmn H$s
?
(a) 22 cm (b) 44 cm
(c) 88 cm (d) 11 cm
30/2/1 JJJJ Page 2
,General Instructions :
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type
questions, carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case-study.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
3 questions in Section E.
22
(ix) Draw neat diagrams wherever required. Take = wherever required, if not
7
stated.
(x) Use of calculators is not allowed.
SECTION A
This section comprises multiple choice questions (MCQs) of 1 mark each.
1. Which of the following quadratic equations has sum of its roots as 4 ?
(a) 2x2 4x + 8 = 0 (b) x2 + 4x + 4 = 0
4
(c) 2 x2 x+1=0 (d) 4x2 4x + 4 = 0
2
2. What is the length of the arc of the sector of a circle with radius 14 cm
and of central angle 90 ?
(a) 22 cm (b) 44 cm
(c) 88 cm (d) 11 cm
30/2/1 JJJJ Page 3 P.T.O.
, 3. `{X ABC PQR _|, A = 32 Am¡a R = 65 h¡, Vmo B H$s _mn h¡ :
(a) 32 (b) 65
(c) 83 (d) 97
4. `{X Am¡a àmH¥$V g§»`mE± h¢ Am¡a p g§»`m q H$m JwUO h¡, Vmo Am¡a q H$m HCF
?
(a) pq (b ) p
(c) q (d) p+q
5. EH$ Am`V ABCD {OgHo$ VrZ erf© B(0, 0), C(3, 0) Am¡a D(0, 4) h¢, CgHo$ erf© A Ho$
{ZX}em§H$ hm|Jo :
(a) (4, 0) (b) (0, 3)
(c) (3, 4) (d) (4, 3)
6. `{X g_rH$aU `w½_ 3x y+8=0 Am¡a 6x ry + 16 = 0 Ûmam {Zê${nV aoImE± g§nmVr
h¢, Vmo H$m _mZ hmoJm :
1 1
(a) (b)
2 2
(c) 2 (d) 2
7. EH$ W¡bo _| 100 nÎmo h¢ {OZ na 1 go 100 VH$ H$s g§»`mE± A§{H$V h¢ & Bg W¡bo _| go EH$
nÎmm `mÑÀN>`m {ZH$mbm OmVm h¡ & Bg nÎmo na EH$ nyU© KZ g§»`m A§{H$V hmoZo H$s àm{`H$Vm
?
1 3
(a) (b)
20 50
1 7
(c) (d)
25 100
8. g_rH$aU `w½_ x = a Am¡a y = b Ûmam {Zê${nV aoImE± J«m\$s` ê$n _| :
(a) nañna g_m§Va hmoVr h¢
(b) {~ÝXþ (b, a) na à{VÀN>oXr hmoVr h¢
(c) g§nmVr hmoVr h¢
(d) {~ÝXþ (a, b) na à{VÀN>oXr hmoVr h¢
30/2/1 JJJJ Page 4
Q.P. Code 30/2/1
Roll No. 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.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
*
:3 : 80
Time allowed : 3 hours Maximum Marks : 80
ZmoQ> / NOTE :
(i) - 23
Please check that this question paper contains 23 printed pages.
(ii) - - -
-
Q.P. Code given on the right hand side of the question paper should be written on the title
page of the answer-book by the candidate.
(iii) - 38
Please check that this question paper contains 38 questions.
(iv) -
Please write down the serial number of the question in the answer-book before
attempting it.
(v) - 15 -
10.15 10.15 10.30 -
-
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this period.
30/2/1 JJJJ Page 1 P.T.O.
, :
:
(i) 38
(ii)
(iii) 1 18 (MCQ) 19 20
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38
(viii) 2 2
2 3
22
(ix) =
7
(x)
IÊS> H$
(MCQ) 1
1. {ZåZ{b{IV _| go {H$g {ÛKmV g_rH$aU Ho$ _ybm| H$m `moJ\$b 4 h¡ ?
(a) 2x2 4x + 8 = 0 (b) x2 + 4x + 4 = 0
4
(c) 2 x2 x+1=0 (d) 4x2 4x + 4 = 0
2
2. {ÌÁ`m 14 cm dmbo EH$ d¥Îm Ho$ {ÌÁ`I§S>, {OgH$m Ho$ÝÐr` H$moU 90 h¡, H$s g§JV Mmn H$s
?
(a) 22 cm (b) 44 cm
(c) 88 cm (d) 11 cm
30/2/1 JJJJ Page 2
,General Instructions :
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type
questions, carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case-study.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
3 questions in Section E.
22
(ix) Draw neat diagrams wherever required. Take = wherever required, if not
7
stated.
(x) Use of calculators is not allowed.
SECTION A
This section comprises multiple choice questions (MCQs) of 1 mark each.
1. Which of the following quadratic equations has sum of its roots as 4 ?
(a) 2x2 4x + 8 = 0 (b) x2 + 4x + 4 = 0
4
(c) 2 x2 x+1=0 (d) 4x2 4x + 4 = 0
2
2. What is the length of the arc of the sector of a circle with radius 14 cm
and of central angle 90 ?
(a) 22 cm (b) 44 cm
(c) 88 cm (d) 11 cm
30/2/1 JJJJ Page 3 P.T.O.
, 3. `{X ABC PQR _|, A = 32 Am¡a R = 65 h¡, Vmo B H$s _mn h¡ :
(a) 32 (b) 65
(c) 83 (d) 97
4. `{X Am¡a àmH¥$V g§»`mE± h¢ Am¡a p g§»`m q H$m JwUO h¡, Vmo Am¡a q H$m HCF
?
(a) pq (b ) p
(c) q (d) p+q
5. EH$ Am`V ABCD {OgHo$ VrZ erf© B(0, 0), C(3, 0) Am¡a D(0, 4) h¢, CgHo$ erf© A Ho$
{ZX}em§H$ hm|Jo :
(a) (4, 0) (b) (0, 3)
(c) (3, 4) (d) (4, 3)
6. `{X g_rH$aU `w½_ 3x y+8=0 Am¡a 6x ry + 16 = 0 Ûmam {Zê${nV aoImE± g§nmVr
h¢, Vmo H$m _mZ hmoJm :
1 1
(a) (b)
2 2
(c) 2 (d) 2
7. EH$ W¡bo _| 100 nÎmo h¢ {OZ na 1 go 100 VH$ H$s g§»`mE± A§{H$V h¢ & Bg W¡bo _| go EH$
nÎmm `mÑÀN>`m {ZH$mbm OmVm h¡ & Bg nÎmo na EH$ nyU© KZ g§»`m A§{H$V hmoZo H$s àm{`H$Vm
?
1 3
(a) (b)
20 50
1 7
(c) (d)
25 100
8. g_rH$aU `w½_ x = a Am¡a y = b Ûmam {Zê${nV aoImE± J«m\$s` ê$n _| :
(a) nañna g_m§Va hmoVr h¢
(b) {~ÝXþ (b, a) na à{VÀN>oXr hmoVr h¢
(c) g§nmVr hmoVr h¢
(d) {~ÝXþ (a, b) na à{VÀN>oXr hmoVr h¢
30/2/1 JJJJ Page 4