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Page 1
430/S/1 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~1
?-? ???
??? ?
?.
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 / 1
Page 2
430/S/1 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~1
?-? ???
??? ?
?.
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 / 1
430/S/1 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. ? ? 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
2. ?? ?? ?? ?????? ????
a
1
x + b
1
y = c
1
a
2
x + b
2
y = c
2
??? ? ?? , ???
1
2
a
a
=
1
2
b
b
??, (a
1
, a
2
, b
1
, b
2
¹ 0) ?
? ? ? ?? ? ?? ??? -?? ??? ? ? ?? ?
(A) ? ???? ?? ? ??? ?? ?? ?
(B) ? ???? ?? ??? ?? ?? ?? ?
(C) ? ???? ? ? ?? ? ?? ? ?? ? ? ? ?? ? ?
(D) ? ???? ?? ?? ? ?? ?? ?? ?? ? ?? ? ?? ? ?? ?? ? ?? ? ?
Page 3
430/S/1 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~1
?-? ???
??? ?
?.
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 / 1
430/S/1 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. ? ? 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
2. ?? ?? ?? ?????? ????
a
1
x + b
1
y = c
1
a
2
x + b
2
y = c
2
??? ? ?? , ???
1
2
a
a
=
1
2
b
b
??, (a
1
, a
2
, b
1
, b
2
¹ 0) ?
? ? ? ?? ? ?? ??? -?? ??? ? ? ?? ?
(A) ? ???? ?? ? ??? ?? ?? ?
(B) ? ???? ?? ??? ?? ?? ?? ?
(C) ? ???? ? ? ?? ? ?? ? ?? ? ? ? ?? ? ?
(D) ? ???? ?? ?? ? ?? ?? ?? ?? ? ?? ? ?? ? ?? ?? ? ?? ? ?
430/S/1 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 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
2. A system of linear equations is given by :
a
1
x + b
1
y = c
1
a
2
x + b
2
y = c
2
, where
1
2
a
a
=
1
2
b
b
(a
1
, a
2
, b
1
, b
2
¹ 0).
Which of the following statements is true ?
(A) The given system has a unique solution.
(B) The given system has no solution.
(C) The given system has infinite number of solutions.
(D) The given system has no solution or has infinite number of solutions.
Page 4
430/S/1 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~1
?-? ???
??? ?
?.
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 / 1
430/S/1 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. ? ? 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
2. ?? ?? ?? ?????? ????
a
1
x + b
1
y = c
1
a
2
x + b
2
y = c
2
??? ? ?? , ???
1
2
a
a
=
1
2
b
b
??, (a
1
, a
2
, b
1
, b
2
¹ 0) ?
? ? ? ?? ? ?? ??? -?? ??? ? ? ?? ?
(A) ? ???? ?? ? ??? ?? ?? ?
(B) ? ???? ?? ??? ?? ?? ?? ?
(C) ? ???? ? ? ?? ? ?? ? ?? ? ? ? ?? ? ?
(D) ? ???? ?? ?? ? ?? ?? ?? ?? ? ?? ? ?? ? ?? ?? ? ?? ? ?
430/S/1 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 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
2. A system of linear equations is given by :
a
1
x + b
1
y = c
1
a
2
x + b
2
y = c
2
, where
1
2
a
a
=
1
2
b
b
(a
1
, a
2
, b
1
, b
2
¹ 0).
Which of the following statements is true ?
(A) The given system has a unique solution.
(B) The given system has no solution.
(C) The given system has infinite number of solutions.
(D) The given system has no solution or has infinite number of solutions.
430/S/1 Page 4
3. ?
?
? ?
A(3, – 1) ??? B(7, 5) ?? ????? ??? ????? ? ? ? ? ? - ?
?
? ? ? ?? ??
? (5a, 2b)
? ? (a + b) ?? ??? ?? :
(A) 7 (B) 3
(C) 2 (D) 5
4. ?????? 3x
2
+ 12 = 0 ? ?
(A) ? ? ? ??? ? ??? ?
(B) ??? ? ? ? ??? ?? ??
(C) ? ? ? ??? ???? ??? ?
(D) ??? ??-?
? ??? ? ? ?? ? ?
5. ?? ?? ?? ? ? ? , ? ? D ABC ? , DE y BC ??, ?? ? ? ? ?? ? ?? ???-?? ? ??? ? ? ?? ?
(A)
A D A E
A B C E
= (B)
A D A E
AB A C
=
(C)
AD A E
AC B D
= (D)
A D A C
AB A E
=
6. ?? ???? ?? ?? ? ?? ?? ? ?
?
? ?
?? ????? ??, ?????? ?? :
(A) ?? ? (B) ?? -????
(C) ???? ???? (D) ???
7. ? ? tan A =
3
4
??, ??
2 2
s i n A c os A
s e c A
+
????? ?? :
(A)
4
3
(B)
4
5
(C)
3
5
(D)
5
4
Page 5
430/S/1 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~1
?-? ???
??? ?
?.
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 / 1
430/S/1 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. ? ? 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
2. ?? ?? ?? ?????? ????
a
1
x + b
1
y = c
1
a
2
x + b
2
y = c
2
??? ? ?? , ???
1
2
a
a
=
1
2
b
b
??, (a
1
, a
2
, b
1
, b
2
¹ 0) ?
? ? ? ?? ? ?? ??? -?? ??? ? ? ?? ?
(A) ? ???? ?? ? ??? ?? ?? ?
(B) ? ???? ?? ??? ?? ?? ?? ?
(C) ? ???? ? ? ?? ? ?? ? ?? ? ? ? ?? ? ?
(D) ? ???? ?? ?? ? ?? ?? ?? ?? ? ?? ? ?? ? ?? ?? ? ?? ? ?
430/S/1 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 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
2. A system of linear equations is given by :
a
1
x + b
1
y = c
1
a
2
x + b
2
y = c
2
, where
1
2
a
a
=
1
2
b
b
(a
1
, a
2
, b
1
, b
2
¹ 0).
Which of the following statements is true ?
(A) The given system has a unique solution.
(B) The given system has no solution.
(C) The given system has infinite number of solutions.
(D) The given system has no solution or has infinite number of solutions.
430/S/1 Page 4
3. ?
?
? ?
A(3, – 1) ??? B(7, 5) ?? ????? ??? ????? ? ? ? ? ? - ?
?
? ? ? ?? ??
? (5a, 2b)
? ? (a + b) ?? ??? ?? :
(A) 7 (B) 3
(C) 2 (D) 5
4. ?????? 3x
2
+ 12 = 0 ? ?
(A) ? ? ? ??? ? ??? ?
(B) ??? ? ? ? ??? ?? ??
(C) ? ? ? ??? ???? ??? ?
(D) ??? ??-?
? ??? ? ? ?? ? ?
5. ?? ?? ?? ? ? ? , ? ? D ABC ? , DE y BC ??, ?? ? ? ? ?? ? ?? ???-?? ? ??? ? ? ?? ?
(A)
A D A E
A B C E
= (B)
A D A E
AB A C
=
(C)
AD A E
AC B D
= (D)
A D A C
AB A E
=
6. ?? ???? ?? ?? ? ?? ?? ? ?
?
? ?
?? ????? ??, ?????? ?? :
(A) ?? ? (B) ?? -????
(C) ???? ???? (D) ???
7. ? ? tan A =
3
4
??, ??
2 2
s i n A c os A
s e c A
+
????? ?? :
(A)
4
3
(B)
4
5
(C)
3
5
(D)
5
4
430/S/1 Page 5 P.T.O.
3. The coordinates of the mid-point of a line segment joining the points A(3, – 1)
and B(7, 5) are (5a, 2b). The value of (a + b) is :
(A) 7 (B) 3
(C) 2 (D) 5
4. The equation 3x
2
+ 12 = 0 has :
(A) real and distinct roots
(B) no real roots
(C) real and equal roots
(D) roots which are reciprocal of each other
5. In the given figure, if in D ABC, DE y BC, then which of the following equality
holds ?
(A)
A D A E
A B C E
= (B)
A D A E
AB A C
=
(C)
AD A E
AC B D
= (D)
A D A C
AB A E
=
6. A line which intersects a circle in two distinct points, is called a :
(A) chord (B) tangent
(C) secant (D) diameter
7. If tan A =
3
4
, then
2 2
s i n A c os A
s e c A
+
is equal to :
(A)
4
3
(B)
4
5
(C)
3
5
(D)
5
4
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