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Page 1
430/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 B A / S
SET~3
?-? ???
??? ?
?.
Q.P. Code
Roll No.
??? / NOTE :
(i) ? ? ??? ?? ? ?? ? ? ?? -? ? ?? ? ?? 23 ? ?
Please check that this question paper contains 23 printed pages.
(ii) ? ? ??? ?? ? ?? ? ? ?? -? ? 38 ? ?
Please check that this question paper contains 38 questions.
(iii) -? ? ?? ??? ??? ? ?? ?? ?? -? ??? ?? ??? ?? ? ? -?? ??? ? ? ???-?? ?? ?? ?
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) ? ? ??? ?? ? ? ? ??? ?? ???? ?? ?? ?, ? ? -??? ?? ? ?? ??
? ?? ? ? ? ?
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.
??? (?
???????)
MATHEMATICS (BASIC)
? ? ?? ??? : 3 ? ?? ? ??? ?
?? : 80
Time allowed : 3 hours Maximum Marks : 80
4 3 0 / S / 3
Page 2
430/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 B A / S
SET~3
?-? ???
??? ?
?.
Q.P. Code
Roll No.
??? / NOTE :
(i) ? ? ??? ?? ? ?? ? ? ?? -? ? ?? ? ?? 23 ? ?
Please check that this question paper contains 23 printed pages.
(ii) ? ? ??? ?? ? ?? ? ? ?? -? ? 38 ? ?
Please check that this question paper contains 38 questions.
(iii) -? ? ?? ??? ??? ? ?? ?? ?? -? ??? ?? ??? ?? ? ? -?? ??? ? ? ???-?? ?? ?? ?
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) ? ? ??? ?? ? ? ? ??? ?? ???? ?? ?? ?, ? ? -??? ?? ? ?? ??
? ?? ? ? ? ?
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.
??? (?
???????)
MATHEMATICS (BASIC)
? ? ?? ??? : 3 ? ?? ? ??? ?
?? : 80
Time allowed : 3 hours Maximum Marks : 80
4 3 0 / S / 3
430/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 =
2 2
7
?? ? , ? ? ??? ? ??
??? ?? ?
(x) ? ? ?
? ???? ?? ???? ??? ? ?? ?
? ? ?
?? ? ? ? 20 ?? ?? ??? ? , ?? ??? 1 ?
?? ?? ?? ? 20 ´1=20
1. ? ? sin q = ( 2 – 1) cos q ??, ?? :
(A) tan q = 2 + 1 (B) cot q = 2 + 1
(C) cot q = 2 – 1 (D) tan q = 2
2. ? ? ??? ? ? ?? ??? ? ?
????, ?? ? ? ? ? ?? ??? q ????? ??, ?
? ?? ?? ? ? ??? ?
??? ???? ?? ?? ? ? ? ? ?? ? ? ????? ?? , ?? ? ? ?? ?? :
(A) 1 ???? (B) 2 ??????
(C) 3 ?????? (D)
1
2
????
Page 3
430/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 B A / S
SET~3
?-? ???
??? ?
?.
Q.P. Code
Roll No.
??? / NOTE :
(i) ? ? ??? ?? ? ?? ? ? ?? -? ? ?? ? ?? 23 ? ?
Please check that this question paper contains 23 printed pages.
(ii) ? ? ??? ?? ? ?? ? ? ?? -? ? 38 ? ?
Please check that this question paper contains 38 questions.
(iii) -? ? ?? ??? ??? ? ?? ?? ?? -? ??? ?? ??? ?? ? ? -?? ??? ? ? ???-?? ?? ?? ?
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) ? ? ??? ?? ? ? ? ??? ?? ???? ?? ?? ?, ? ? -??? ?? ? ?? ??
? ?? ? ? ? ?
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.
??? (?
???????)
MATHEMATICS (BASIC)
? ? ?? ??? : 3 ? ?? ? ??? ?
?? : 80
Time allowed : 3 hours Maximum Marks : 80
4 3 0 / S / 3
430/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 =
2 2
7
?? ? , ? ? ??? ? ??
??? ?? ?
(x) ? ? ?
? ???? ?? ???? ??? ? ?? ?
? ? ?
?? ? ? ? 20 ?? ?? ??? ? , ?? ??? 1 ?
?? ?? ?? ? 20 ´1=20
1. ? ? sin q = ( 2 – 1) cos q ??, ?? :
(A) tan q = 2 + 1 (B) cot q = 2 + 1
(C) cot q = 2 – 1 (D) tan q = 2
2. ? ? ??? ? ? ?? ??? ? ?
????, ?? ? ? ? ? ?? ??? q ????? ??, ?
? ?? ?? ? ? ??? ?
??? ???? ?? ?? ? ? ? ? ?? ? ? ????? ?? , ?? ? ? ?? ?? :
(A) 1 ???? (B) 2 ??????
(C) 3 ?????? (D)
1
2
????
430/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 =
22
7
wherever required, if not stated.
(x) Use of calculator is not allowed.
SECTION A
This section has 20 Multiple Choice Questions (MCQs) carrying 1 mark each. 20 ´1=20
1. If sin q = ( 2 – 1) cos q, then :
(A) tan q = 2 + 1 (B) cot q = 2 + 1
(C) cot q = 2 – 1 (D) tan q = 2
2. If length of an arc of a circle subtending an angle q at the centre is numerically
equal to the area of the sector formed by it, then the radius of the circle is :
(A) 1 unit (B) 2 units
(C) 3 units (D)
1
2
unit
Page 4
430/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 B A / S
SET~3
?-? ???
??? ?
?.
Q.P. Code
Roll No.
??? / NOTE :
(i) ? ? ??? ?? ? ?? ? ? ?? -? ? ?? ? ?? 23 ? ?
Please check that this question paper contains 23 printed pages.
(ii) ? ? ??? ?? ? ?? ? ? ?? -? ? 38 ? ?
Please check that this question paper contains 38 questions.
(iii) -? ? ?? ??? ??? ? ?? ?? ?? -? ??? ?? ??? ?? ? ? -?? ??? ? ? ???-?? ?? ?? ?
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) ? ? ??? ?? ? ? ? ??? ?? ???? ?? ?? ?, ? ? -??? ?? ? ?? ??
? ?? ? ? ? ?
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.
??? (?
???????)
MATHEMATICS (BASIC)
? ? ?? ??? : 3 ? ?? ? ??? ?
?? : 80
Time allowed : 3 hours Maximum Marks : 80
4 3 0 / S / 3
430/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 =
2 2
7
?? ? , ? ? ??? ? ??
??? ?? ?
(x) ? ? ?
? ???? ?? ???? ??? ? ?? ?
? ? ?
?? ? ? ? 20 ?? ?? ??? ? , ?? ??? 1 ?
?? ?? ?? ? 20 ´1=20
1. ? ? sin q = ( 2 – 1) cos q ??, ?? :
(A) tan q = 2 + 1 (B) cot q = 2 + 1
(C) cot q = 2 – 1 (D) tan q = 2
2. ? ? ??? ? ? ?? ??? ? ?
????, ?? ? ? ? ? ?? ??? q ????? ??, ?
? ?? ?? ? ? ??? ?
??? ???? ?? ?? ? ? ? ? ?? ? ? ????? ?? , ?? ? ? ?? ?? :
(A) 1 ???? (B) 2 ??????
(C) 3 ?????? (D)
1
2
????
430/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 =
22
7
wherever required, if not stated.
(x) Use of calculator is not allowed.
SECTION A
This section has 20 Multiple Choice Questions (MCQs) carrying 1 mark each. 20 ´1=20
1. If sin q = ( 2 – 1) cos q, then :
(A) tan q = 2 + 1 (B) cot q = 2 + 1
(C) cot q = 2 – 1 (D) tan q = 2
2. If length of an arc of a circle subtending an angle q at the centre is numerically
equal to the area of the sector formed by it, then the radius of the circle is :
(A) 1 unit (B) 2 units
(C) 3 units (D)
1
2
unit
430/S/3 Page 4
3. ?? ? ? ? ? 16 ? ? ? ? ? ??? ? ?? ? ? ? ?????? ? ?? ? ? ? ? ??? ??? ?? ? ? ? ??
?? ? , ?? ? ? ?? ??? ?? , ? ?? :
(A) 8 ? ? ?
(B) 7 ? ? ?
(C) 8 ??? 9 ? ? ?? ???
(D) 7 ??? 8 ? ? ?? ???
4. ? ? ?? R ??? ?? ???? ?? ????, ?? r ??? ?? ???? ? ? ???? ?? 16 ???? ??, ??
R : r ?? :
(A) 1 : 2 (B) 2 : 1
(C) 8 : 1 (D) 1 : 8
5. ? ? a = 2
7
. 3
10
??? b = 2
3
. 3
7
??, ?? HCF (a, b) ?? :
(A) 2
7
. 3
10
(B) 2
10
. 3
17
(C) 2
3
. 3
7
(D) 2
7
. 3
7
6. ? ? ?????? ???? 2x + 3y = 5 ??? 4x + ky = 10 ? ? ?? ? ?? ? ?? ?? ? ?? ? , ?? ‘k’
?? ??? ?? :
(A) 1 (B)
1
2
(C)
3
2
(D) 6
7. ?? ? ?? ? ?
??
? (2, – 3) ?? ?? ? ? ? ??? ??? AB ?? ?
??
? A(3, – 10) ??, ?? B ? ?
?? ??
?? ? :
(A) (4, 1) (B) (– 4, 1)
(C) (1, 4) (D) (– 1, – 4)
8. ?????? 4x
2
– 25 = 0 ? ?
(A) ??? ? ? ? ??? ?? ? (B) ? ? ? ??? ???? ??? ?
(C) ? ? ? ??? ? ??? ? (D) ?? ?? ? ? ? ? ? ? ??? ?
Page 5
430/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 B A / S
SET~3
?-? ???
??? ?
?.
Q.P. Code
Roll No.
??? / NOTE :
(i) ? ? ??? ?? ? ?? ? ? ?? -? ? ?? ? ?? 23 ? ?
Please check that this question paper contains 23 printed pages.
(ii) ? ? ??? ?? ? ?? ? ? ?? -? ? 38 ? ?
Please check that this question paper contains 38 questions.
(iii) -? ? ?? ??? ??? ? ?? ?? ?? -? ??? ?? ??? ?? ? ? -?? ??? ? ? ???-?? ?? ?? ?
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) ? ? ??? ?? ? ? ? ??? ?? ???? ?? ?? ?, ? ? -??? ?? ? ?? ??
? ?? ? ? ? ?
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.
??? (?
???????)
MATHEMATICS (BASIC)
? ? ?? ??? : 3 ? ?? ? ??? ?
?? : 80
Time allowed : 3 hours Maximum Marks : 80
4 3 0 / S / 3
430/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 =
2 2
7
?? ? , ? ? ??? ? ??
??? ?? ?
(x) ? ? ?
? ???? ?? ???? ??? ? ?? ?
? ? ?
?? ? ? ? 20 ?? ?? ??? ? , ?? ??? 1 ?
?? ?? ?? ? 20 ´1=20
1. ? ? sin q = ( 2 – 1) cos q ??, ?? :
(A) tan q = 2 + 1 (B) cot q = 2 + 1
(C) cot q = 2 – 1 (D) tan q = 2
2. ? ? ??? ? ? ?? ??? ? ?
????, ?? ? ? ? ? ?? ??? q ????? ??, ?
? ?? ?? ? ? ??? ?
??? ???? ?? ?? ? ? ? ? ?? ? ? ????? ?? , ?? ? ? ?? ?? :
(A) 1 ???? (B) 2 ??????
(C) 3 ?????? (D)
1
2
????
430/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 =
22
7
wherever required, if not stated.
(x) Use of calculator is not allowed.
SECTION A
This section has 20 Multiple Choice Questions (MCQs) carrying 1 mark each. 20 ´1=20
1. If sin q = ( 2 – 1) cos q, then :
(A) tan q = 2 + 1 (B) cot q = 2 + 1
(C) cot q = 2 – 1 (D) tan q = 2
2. If length of an arc of a circle subtending an angle q at the centre is numerically
equal to the area of the sector formed by it, then the radius of the circle is :
(A) 1 unit (B) 2 units
(C) 3 units (D)
1
2
unit
430/S/3 Page 4
3. ?? ? ? ? ? 16 ? ? ? ? ? ??? ? ?? ? ? ? ?????? ? ?? ? ? ? ? ??? ??? ?? ? ? ? ??
?? ? , ?? ? ? ?? ??? ?? , ? ?? :
(A) 8 ? ? ?
(B) 7 ? ? ?
(C) 8 ??? 9 ? ? ?? ???
(D) 7 ??? 8 ? ? ?? ???
4. ? ? ?? R ??? ?? ???? ?? ????, ?? r ??? ?? ???? ? ? ???? ?? 16 ???? ??, ??
R : r ?? :
(A) 1 : 2 (B) 2 : 1
(C) 8 : 1 (D) 1 : 8
5. ? ? a = 2
7
. 3
10
??? b = 2
3
. 3
7
??, ?? HCF (a, b) ?? :
(A) 2
7
. 3
10
(B) 2
10
. 3
17
(C) 2
3
. 3
7
(D) 2
7
. 3
7
6. ? ? ?????? ???? 2x + 3y = 5 ??? 4x + ky = 10 ? ? ?? ? ?? ? ?? ?? ? ?? ? , ?? ‘k’
?? ??? ?? :
(A) 1 (B)
1
2
(C)
3
2
(D) 6
7. ?? ? ?? ? ?
??
? (2, – 3) ?? ?? ? ? ? ??? ??? AB ?? ?
??
? A(3, – 10) ??, ?? B ? ?
?? ??
?? ? :
(A) (4, 1) (B) (– 4, 1)
(C) (1, 4) (D) (– 1, – 4)
8. ?????? 4x
2
– 25 = 0 ? ?
(A) ??? ? ? ? ??? ?? ? (B) ? ? ? ??? ???? ??? ?
(C) ? ? ? ??? ? ??? ? (D) ?? ?? ? ? ? ? ? ? ??? ?
430/S/3 Page 5 P.T.O.
3. There are 16 observations arranged in increasing order of their values in a data.
The median will be the value of :
(A) 8
th
observation
(B) 7
th
observation
(C) average of 8
th
and 9
th
observations
(D) average of 7
th
and 8
th
observations
4. If the volume of a sphere of radius R is equal to 16 times the volume of a
hemisphere of radius r, then R : r is :
(A) 1 : 2 (B) 2 : 1
(C) 8 : 1 (D) 1 : 8
5. If a = 2
7
. 3
10
and b = 2
3
. 3
7
, then HCF (a, b) is :
(A) 2
7
. 3
10
(B) 2
10
. 3
17
(C) 2
3
. 3
7
(D) 2
7
. 3
7
6. If the system of equations 2x + 3y = 5 and 4x + ky = 10 has infinitely many
solutions, then the value of ‘k’ is :
(A) 1 (B)
1
2
(C)
3
2
(D) 6
7. The centre of a circle is at (2, – 3). If one end point of the diameter AB is
A(3, – 10), then the coordinates of B are :
(A) (4, 1) (B) (– 4, 1)
(C) (1, 4) (D) (– 1, – 4)
8. The equation 4x
2
– 25 = 0 has :
(A) no real roots (B) real and equal roots
(C) real and distinct roots (D) real roots of same sign
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