Q.P. Code 65/C/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
MATHEMATICS
*
:3 : 80
Time allowed : 3 hours Maximum Marks : 80
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.
65/C/1 JJJJ ^ Page 1 P.T.O.
, :
:
(i) 38
(ii)
(iii) 1 18 19 20
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38
(viii) 2 3
2 2
(ix)
IÊS> H$
1
1. `{X A, H$mo{Q> 3 H$m EH$ dJ© Amì`yh h¡ Am¡a |A| = 6 h¡, Vmo |adj A| H$m _mZ h¡ :
(a) 6 (b) 36
(c) 27 (d) 216
/6
2. sin 3x dx H$m _mZ h¡ :
0
3 1
(a) (b)
2 3
3 1
(c) (d)
2 3
65/C/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.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 3 questions in Section C, 2 questions in Section D and
2 questions in Section E.
(ix) Use of calculators is not allowed.
SECTION A
This section comprises multiple choice questions (MCQs) of 1 mark each.
1. If A is a square matrix of order 3 and |A| = 6, then the value of |adj A|
is :
(a) 6 (b) 36
(c) 27 (d) 216
/6
2. The value of sin 3x dx is :
0
3 1
(a) (b)
2 3
3 1
(c) (d)
2 3
65/C/1 JJJJ Page 3 P.T.O.
, 3. `{X a , b Am¡a ( a + b ) g^r _mÌH$ g{Xe h¢ Am¡a a VWm b Ho$ ~rM H$m H$moU
h¡, Vmo H$m _mZ hmoJm :
2 5
(a) (b) (c) (d)
3 6 3 6
^ ^ ^ ^
4. g{Xe i H$m g{Xe i + j + 2k na àjon h¡ :
1 2 3
(a) (b) 6 (c) (d)
6 6 6
5. EH$ n[adma _| 2
àm{`H$Vm h¡ :
1 1 1 3
(a) (b) (c) (d)
4 8 2 4
x 3 4 y z 8
6. aoIm = = Ho$ g_m§Va Am¡a q~Xþ (2, 4, 5) go JwµOaZo dmbr aoIm H$m
3 2 6
g{Xe g_rH$aU h¡ :
^ ^ ^ ^ ^ ^
(a) r = ( 2i + 4 j 5 k ) + (3 i + 2 j + 6 k )
^ ^ ^ ^ ^ ^
(b) r = (2 i 4 j + 5 k ) + (3 i 2 j + 6k )
^ ^ ^ ^ ^ ^
(c) r = (2 i 4 j + 5 k ) + (3 i + 2 j + 6 k )
^ ^ ^ ^ ^ ^
(d) r = ( 2i + 4 j 5 k ) + (3 i 2j 6k )
2x 3 10 1
7. x Ho$ {H$g _mZ Ho$ {bE, gma{UH$ Am¡a g_mZ h¢ ?
5 x 3 2
(a) 3 (b) 3 (c) 2 (d) 2
4 3 2
8. Amì`yh$ 2 1 0 _| Xÿgar n§{º$ Am¡a Vrgao ñVå^ _| pñWV Ad`d Ho$ ghI§S> H$m
1 2 3
_mZ h¡ :
(a) 5 (b) 5 (c) 11 (d) 11
65/C/1 JJJJ Page 4