Page 1
30/C/1 JJJJ 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
W X 1 Y Z/ C
S E T ~ 1
Q.P. Code
Roll No.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
*
: 3 : 80
Time allowed : 3 hours Maximum Marks : 80
ZmoQ> / N O T E :
(i)
- 23
Please check that this question paper contains 23 printed pages.
(ii)
- - -
-
Q.P. Code given on the right hand side of the question paper should be written on the title
page of the answer-book by the candidate.
(iii)
- 38
Please check that this question paper contains 38 questions.
(iv)
-
Please write down the serial number of the question in the answer-book before
attempting it.
(v)
- 15 -
10.15 10.15 10.30 -
-
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this period.
30/C/1
^
Page 2
30/C/1 JJJJ Page 1 P.T.O.
narjmWu àíZ-nÌ H$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
W X 1 Y Z/ C
S E T ~ 1
Q.P. Code
Roll No.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
*
: 3 : 80
Time allowed : 3 hours Maximum Marks : 80
ZmoQ> / N O T E :
(i)
- 23
Please check that this question paper contains 23 printed pages.
(ii)
- - -
-
Q.P. Code given on the right hand side of the question paper should be written on the title
page of the answer-book by the candidate.
(iii)
- 38
Please check that this question paper contains 38 questions.
(iv)
-
Please write down the serial number of the question in the answer-book before
attempting it.
(v)
- 15 -
10.15 10.15 10.30 -
-
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this period.
30/C/1
^ 30/C/1 JJJJ Page 2
:
:
(i) 38
(ii)
(iii) 1 18 (MCQ) 19 20
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38
(viii) 2 2
2 3
(ix) =
7
22
(x)
IÊS> H$
(MCQ) 1
1. k Ho$ _mZ, {OZHo$ {bE g_rH$aU 4x
2
+ kx + 9 = 0 Ho$ dmñV{dH$ Am¡a ~am~a _yb h¢, h¢ :
(a) 11 (b) 12
(c) 6 (d) 3
2. {~ÝXþ (4, 7) H$s x-Aj go Xÿar h¡ :
(a) 7 BH$mB© (b) 5 BH$mB©
(c) 4 BH$mB© (d) 10 BH$mB©
Page 3
30/C/1 JJJJ Page 1 P.T.O.
narjmWu àíZ-nÌ H$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
W X 1 Y Z/ C
S E T ~ 1
Q.P. Code
Roll No.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
*
: 3 : 80
Time allowed : 3 hours Maximum Marks : 80
ZmoQ> / N O T E :
(i)
- 23
Please check that this question paper contains 23 printed pages.
(ii)
- - -
-
Q.P. Code given on the right hand side of the question paper should be written on the title
page of the answer-book by the candidate.
(iii)
- 38
Please check that this question paper contains 38 questions.
(iv)
-
Please write down the serial number of the question in the answer-book before
attempting it.
(v)
- 15 -
10.15 10.15 10.30 -
-
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this period.
30/C/1
^ 30/C/1 JJJJ Page 2
:
:
(i) 38
(ii)
(iii) 1 18 (MCQ) 19 20
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38
(viii) 2 2
2 3
(ix) =
7
22
(x)
IÊS> H$
(MCQ) 1
1. k Ho$ _mZ, {OZHo$ {bE g_rH$aU 4x
2
+ kx + 9 = 0 Ho$ dmñV{dH$ Am¡a ~am~a _yb h¢, h¢ :
(a) 11 (b) 12
(c) 6 (d) 3
2. {~ÝXþ (4, 7) H$s x-Aj go Xÿar h¡ :
(a) 7 BH$mB© (b) 5 BH$mB©
(c) 4 BH$mB© (d) 10 BH$mB©
30/C/1 JJJJ Page 3 P.T.O.
General Instructions :
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type
questions, carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case-study.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
3 questions in Section E.
(ix) Draw neat diagrams wherever required. Take =
7
22
wherever required, if not
stated.
(x) Use of calculators is not allowed.
SECTION A
This section comprises multiple choice questions (MCQs) of 1 mark each.
1. The values of k for which the equation 4x
2
+ kx + 9 = 0 has real and equal
roots are :
(a) 11 (b) 12
(c) 6 (d) 3
2. The distance of the point (4, 7) from the x-axis is :
(a) 7 units (b) 5 units
(c) 4 units (d) 10 units
Page 4
30/C/1 JJJJ Page 1 P.T.O.
narjmWu àíZ-nÌ H$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
W X 1 Y Z/ C
S E T ~ 1
Q.P. Code
Roll No.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
*
: 3 : 80
Time allowed : 3 hours Maximum Marks : 80
ZmoQ> / N O T E :
(i)
- 23
Please check that this question paper contains 23 printed pages.
(ii)
- - -
-
Q.P. Code given on the right hand side of the question paper should be written on the title
page of the answer-book by the candidate.
(iii)
- 38
Please check that this question paper contains 38 questions.
(iv)
-
Please write down the serial number of the question in the answer-book before
attempting it.
(v)
- 15 -
10.15 10.15 10.30 -
-
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this period.
30/C/1
^ 30/C/1 JJJJ Page 2
:
:
(i) 38
(ii)
(iii) 1 18 (MCQ) 19 20
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38
(viii) 2 2
2 3
(ix) =
7
22
(x)
IÊS> H$
(MCQ) 1
1. k Ho$ _mZ, {OZHo$ {bE g_rH$aU 4x
2
+ kx + 9 = 0 Ho$ dmñV{dH$ Am¡a ~am~a _yb h¢, h¢ :
(a) 11 (b) 12
(c) 6 (d) 3
2. {~ÝXþ (4, 7) H$s x-Aj go Xÿar h¡ :
(a) 7 BH$mB© (b) 5 BH$mB©
(c) 4 BH$mB© (d) 10 BH$mB©
30/C/1 JJJJ Page 3 P.T.O.
General Instructions :
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type
questions, carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case-study.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
3 questions in Section E.
(ix) Draw neat diagrams wherever required. Take =
7
22
wherever required, if not
stated.
(x) Use of calculators is not allowed.
SECTION A
This section comprises multiple choice questions (MCQs) of 1 mark each.
1. The values of k for which the equation 4x
2
+ kx + 9 = 0 has real and equal
roots are :
(a) 11 (b) 12
(c) 6 (d) 3
2. The distance of the point (4, 7) from the x-axis is :
(a) 7 units (b) 5 units
(c) 4 units (d) 10 units
30/C/1 JJJJ Page 4
3. EH$ n[adma _| H$_-go- :
(a)
2
1
(b)
5
2
(c)
4
3
(d)
4
1
4. {Og pñW{V Ho$ {bE, g_rH$aU `w½_ ax + 2y = 7 Am¡a 3x + by = 16 g_m§Va aoImAm| H$m
{Zê$nU H$aVo h¢, dh h¡ :
(a) ab =
16
7
(b ) ab = 6
(c) ab = 3 (d) ab = 2
5. ~hþnX 3x
2
+ 11x 4 Ho$ eyÝ`H$ h¢ :
(a)
2
1
, 4 (b)
4
1
, 3
(c)
3
1
, 4 (d)
3
1
, 4
6. cot
2
2
sin
1
~am~a h¡ :
(a) 1 (b) 2
(c) 2 (d) 1
7. {~ÝXþ A Ho$ {ZX}em§H$, Ohm± AB Cg d¥Îm H$m ì`mg h¡ {OgH$m H|$Ð (3, 2) VWm B (7, 4)
h¡, h¢ :
(a) ( 1, 8) (b) ( 1, 8)
(c) (1, 8) (d) (1, 8)
8. `{X x, 2x + 9, 4x + 3 EH$ A.P. Ho$ VrZ H«$_mJV nX h¢, Vmo x H$m _mZ h¡ :
(a) 3 (b) 10
(c) 13 (d) 15
Page 5
30/C/1 JJJJ 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
W X 1 Y Z/ C
S E T ~ 1
Q.P. Code
Roll No.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
*
: 3 : 80
Time allowed : 3 hours Maximum Marks : 80
ZmoQ> / N O T E :
(i)
- 23
Please check that this question paper contains 23 printed pages.
(ii)
- - -
-
Q.P. Code given on the right hand side of the question paper should be written on the title
page of the answer-book by the candidate.
(iii)
- 38
Please check that this question paper contains 38 questions.
(iv)
-
Please write down the serial number of the question in the answer-book before
attempting it.
(v)
- 15 -
10.15 10.15 10.30 -
-
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this period.
30/C/1
^ 30/C/1 JJJJ Page 2
:
:
(i) 38
(ii)
(iii) 1 18 (MCQ) 19 20
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38
(viii) 2 2
2 3
(ix) =
7
22
(x)
IÊS> H$
(MCQ) 1
1. k Ho$ _mZ, {OZHo$ {bE g_rH$aU 4x
2
+ kx + 9 = 0 Ho$ dmñV{dH$ Am¡a ~am~a _yb h¢, h¢ :
(a) 11 (b) 12
(c) 6 (d) 3
2. {~ÝXþ (4, 7) H$s x-Aj go Xÿar h¡ :
(a) 7 BH$mB© (b) 5 BH$mB©
(c) 4 BH$mB© (d) 10 BH$mB©
30/C/1 JJJJ Page 3 P.T.O.
General Instructions :
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type
questions, carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case-study.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
3 questions in Section E.
(ix) Draw neat diagrams wherever required. Take =
7
22
wherever required, if not
stated.
(x) Use of calculators is not allowed.
SECTION A
This section comprises multiple choice questions (MCQs) of 1 mark each.
1. The values of k for which the equation 4x
2
+ kx + 9 = 0 has real and equal
roots are :
(a) 11 (b) 12
(c) 6 (d) 3
2. The distance of the point (4, 7) from the x-axis is :
(a) 7 units (b) 5 units
(c) 4 units (d) 10 units
30/C/1 JJJJ Page 4
3. EH$ n[adma _| H$_-go- :
(a)
2
1
(b)
5
2
(c)
4
3
(d)
4
1
4. {Og pñW{V Ho$ {bE, g_rH$aU `w½_ ax + 2y = 7 Am¡a 3x + by = 16 g_m§Va aoImAm| H$m
{Zê$nU H$aVo h¢, dh h¡ :
(a) ab =
16
7
(b ) ab = 6
(c) ab = 3 (d) ab = 2
5. ~hþnX 3x
2
+ 11x 4 Ho$ eyÝ`H$ h¢ :
(a)
2
1
, 4 (b)
4
1
, 3
(c)
3
1
, 4 (d)
3
1
, 4
6. cot
2
2
sin
1
~am~a h¡ :
(a) 1 (b) 2
(c) 2 (d) 1
7. {~ÝXþ A Ho$ {ZX}em§H$, Ohm± AB Cg d¥Îm H$m ì`mg h¡ {OgH$m H|$Ð (3, 2) VWm B (7, 4)
h¡, h¢ :
(a) ( 1, 8) (b) ( 1, 8)
(c) (1, 8) (d) (1, 8)
8. `{X x, 2x + 9, 4x + 3 EH$ A.P. Ho$ VrZ H«$_mJV nX h¢, Vmo x H$m _mZ h¡ :
(a) 3 (b) 10
(c) 13 (d) 15
30/C/1 JJJJ Page 5 P.T.O.
3. In a family of two children, the probability of having at least one girl is :
(a)
2
1
(b)
5
2
(c)
4
3
(d)
4
1
4. The condition for which the pair of equations ax + 2y = 7 and 3x + by = 16
represent parallel lines is :
(a) ab =
16
7
(b ) ab = 6
(c) ab = 3 (d) ab = 2
5. The zeroes of the polynomial 3x
2
+ 11x 4 are :
(a)
2
1
, 4 (b)
4
1
, 3
(c)
3
1
, 4 (d)
3
1
, 4
6. cot
2
2
sin
1
is equal to :
(a) 1 (b) 2
(c) 2 (d) 1
7. The coordinates of the point A, where AB is the diameter of the circle
whose centre is (3, 2) and B (7, 4) is :
(a) ( 1, 8) (b) ( 1, 8)
(c) (1, 8) (d) (1, 8)
8. If x, 2x + 9, 4x + 3 are three consecutive terms of an A.P., then the
value of x is :
(a) 3 (b) 10
(c) 13 (d) 15
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