Series WX1YZ/C SET~3
Q.P. Code 30/C/3
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$)
MATHEMATICS (STANDARD)
*
:3 : 80
Time allowed : 3 hours Maximum Marks : 80
ZmoQ> / NOTE :
(i) - 23
Please check that this question paper contains 23 printed pages.
(ii) - - -
-
Q.P. Code given on the right hand side of the question paper should be written on the title
page of the answer-book by the candidate.
(iii) - 38
Please check that this question paper contains 38 questions.
(iv) -
Please write down the serial number of the question in the answer-book before
attempting it.
(v) - 15 -
10.15 10.15 10.30 -
-
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this period.
30/C/3 JJJJ ^ Page 1 P.T.O.
, :
:
(i) 38
(ii)
(iii) 1 18 (MCQ) 19 20
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38
(viii) 2 2
2 3
22
(ix) =
7
(x)
IÊS> H$
(MCQ) 1
1. k H$m/Ho$ _mZ {OgHo$/{OZHo$ {bE g_rH$aU 2x2 kx + 1 = 0 Ho$ _yb dmñV{dH$ Am¡a
~am~a h¢, h¡/h¢ :
(a) 2 2 (b) 2 2
(c) 2 2 (d) 2
2. AmboIr` ê$n go, a¡{IH$ g_rH$aU `w½_ 3x y + 8 = 0 Am¡a 3x y = 24, Xmo Eogr
aoImAm| H$mo {Zê${nV H$aVm h¡, Omo :
(a) EH$ Xÿgao H$mo R>rH$ EH$ {~ÝXþ na H$mQ>Vr h¢
(b) EH$ Xÿgao H$mo R>rH$ Xmo {~ÝXþAm| na H$mQ>Vr h¢
(c) g§nmVr h¢
(d) g_m§Va h¢
30/C/3 JJJJ Page 2
,General Instructions :
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type
questions, carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case-study.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
3 questions in Section E.
22
(ix) Draw neat diagrams wherever required. Take = wherever required, if not
7
stated.
(x) Use of calculators is not allowed.
SECTION A
This section comprises multiple choice questions (MCQs) of 1 mark each.
1. The value(s) of k for which the equation 2x2 kx + 1 = 0 has real and
equal roots is/are :
(a) 2 2 (b) 2 2
(c) 2 2 (d) 2
2. Graphically, the pair of linear equations 3x y + 8 = 0 and 3x y = 24
represents two lines which are :
(a) intersecting exactly at one point
(b) intersecting exactly at two points
(c) coincident
(d) parallel
30/C/3 JJJJ Page 3 P.T.O.
, 3. AmZw^{dH$ g§~§Y H$m Cn`moJ H$aZo na EH$ ~§Q>Z, {OgH$m _mÜ` 7·2 Am¡a _mÜ`H$ 7·1 h¡,
H$m ~hþbH$ hmoJm :
(a) 6·2 (b) 6·3
(c) 6·5 (d) 6·9
4. ~hþnX 3x2 + 11x 4 Ho$ eyÝ`H$ h¢ :
1 1
(a) , 4 (b) , 3
2 4
1 1
(c) , 4 (d) ,4
3 3
5. {~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$mB©
6. `{X x + 1, 3x VWm 4x + 2 EH$ A.P. Ho$ VrZ H«$_mJV nX h¢, Vmo x H$m _mZ h¡ :
(a) 2 (b) 3
(c) 4 (d) 5
7. (sec2 1) (1 cosec2 ) ~am~a h¡ :
(a) 1 (b) 1
(c) 2 (d) 2
8. EH$ n[adma _| H$_-go- :
1 2
(a) (b)
2 5
3 1
(c) (d)
4 4
30/C/3 JJJJ Page 4
Q.P. Code 30/C/3
Roll No. narjmWu àíZ-nÌ H$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$)
MATHEMATICS (STANDARD)
*
:3 : 80
Time allowed : 3 hours Maximum Marks : 80
ZmoQ> / NOTE :
(i) - 23
Please check that this question paper contains 23 printed pages.
(ii) - - -
-
Q.P. Code given on the right hand side of the question paper should be written on the title
page of the answer-book by the candidate.
(iii) - 38
Please check that this question paper contains 38 questions.
(iv) -
Please write down the serial number of the question in the answer-book before
attempting it.
(v) - 15 -
10.15 10.15 10.30 -
-
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this period.
30/C/3 JJJJ ^ Page 1 P.T.O.
, :
:
(i) 38
(ii)
(iii) 1 18 (MCQ) 19 20
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38
(viii) 2 2
2 3
22
(ix) =
7
(x)
IÊS> H$
(MCQ) 1
1. k H$m/Ho$ _mZ {OgHo$/{OZHo$ {bE g_rH$aU 2x2 kx + 1 = 0 Ho$ _yb dmñV{dH$ Am¡a
~am~a h¢, h¡/h¢ :
(a) 2 2 (b) 2 2
(c) 2 2 (d) 2
2. AmboIr` ê$n go, a¡{IH$ g_rH$aU `w½_ 3x y + 8 = 0 Am¡a 3x y = 24, Xmo Eogr
aoImAm| H$mo {Zê${nV H$aVm h¡, Omo :
(a) EH$ Xÿgao H$mo R>rH$ EH$ {~ÝXþ na H$mQ>Vr h¢
(b) EH$ Xÿgao H$mo R>rH$ Xmo {~ÝXþAm| na H$mQ>Vr h¢
(c) g§nmVr h¢
(d) g_m§Va h¢
30/C/3 JJJJ Page 2
,General Instructions :
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type
questions, carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case-study.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
3 questions in Section E.
22
(ix) Draw neat diagrams wherever required. Take = wherever required, if not
7
stated.
(x) Use of calculators is not allowed.
SECTION A
This section comprises multiple choice questions (MCQs) of 1 mark each.
1. The value(s) of k for which the equation 2x2 kx + 1 = 0 has real and
equal roots is/are :
(a) 2 2 (b) 2 2
(c) 2 2 (d) 2
2. Graphically, the pair of linear equations 3x y + 8 = 0 and 3x y = 24
represents two lines which are :
(a) intersecting exactly at one point
(b) intersecting exactly at two points
(c) coincident
(d) parallel
30/C/3 JJJJ Page 3 P.T.O.
, 3. AmZw^{dH$ g§~§Y H$m Cn`moJ H$aZo na EH$ ~§Q>Z, {OgH$m _mÜ` 7·2 Am¡a _mÜ`H$ 7·1 h¡,
H$m ~hþbH$ hmoJm :
(a) 6·2 (b) 6·3
(c) 6·5 (d) 6·9
4. ~hþnX 3x2 + 11x 4 Ho$ eyÝ`H$ h¢ :
1 1
(a) , 4 (b) , 3
2 4
1 1
(c) , 4 (d) ,4
3 3
5. {~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$mB©
6. `{X x + 1, 3x VWm 4x + 2 EH$ A.P. Ho$ VrZ H«$_mJV nX h¢, Vmo x H$m _mZ h¡ :
(a) 2 (b) 3
(c) 4 (d) 5
7. (sec2 1) (1 cosec2 ) ~am~a h¡ :
(a) 1 (b) 1
(c) 2 (d) 2
8. EH$ n[adma _| H$_-go- :
1 2
(a) (b)
2 5
3 1
(c) (d)
4 4
30/C/3 JJJJ Page 4
