MATHEMATICS SET (1)
MAXIMUM MARKS: 80
TIME ALLOWED: THREE HOURS
(CANDIDATES ARE ALLOWED ADDITIONAL 15 MINUTES FOR ONLY READING THE PAPER. THEY
MUST NOT START WRITING DURING THIS TIME.)
----------------------------------------------------------------------------------------------------
This Question Paper consists of three sections A, B and C.
Candidates are required to attempt all questions from Section A and all questions EITHER
from Section B OR Section C.
Section A: Internal choice has been provided in two questions of two marks each, two
questions of four marks each and two questions of six marks each.
Section B: Internal choice has been provided in one question of two marks and
one question of four marks.
Section C: Internal choice has been provided in one question of two marks and
one question of four marks.
All working, including rough work, should be done on the same sheet as, and adjacent to
the rest of the answer.
The intended marks for questions or parts of questions are given in brackets [ ].
Mathematical tables and graph papers are provided.
SECTION A - 65 MARKS
Question -1
(i) If a matrix is both symmetric and skew-symmetric, then A is a
(a) Scalar matrix
(b) Diagonal matrix
(c) Zero matrix
(d) Square matrix
2 sin x
(ii) If dx ax b log sin x C , find the value of a and b.
4
sin x
4
(a) a=1, b= 1
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, (b) a=2, b=3
(c) a=0, b=5
(d) a=9, b=4
1
(iii) Evaluate : sin sin 1 .
3 2
(a) 1
(b) 2
(c) 3
(d) 4
(iv) The integrating factor of differential equation 1 x 2
dy
xy 1 is
dx
(a) x
x
(b)
1 x2
(c) 1 x2
log 1 x 2
1
(d)
2
(v) Yash is appearing for an exam of Maths and Physics
let event A = Yash passes in Maths
let event B = Yash passes in Physics
given P(A) =0.30 and P(B) = 0.40 and P(A and B) = 0.20
Which one of the following is true about the events A and B?
(a) They are mutually exclusive but not independent
(b) They are independent but not mutually exclusive
(c) They are both mutually exclusive and independent
(d) They are neither mutually exclusive nor independent
(vi) If A and B are square matrices of same order such that A 2 and B I , then find the value of |B|.
3
(a)
2
1
(b)
2
4
(c)
5
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MAXIMUM MARKS: 80
TIME ALLOWED: THREE HOURS
(CANDIDATES ARE ALLOWED ADDITIONAL 15 MINUTES FOR ONLY READING THE PAPER. THEY
MUST NOT START WRITING DURING THIS TIME.)
----------------------------------------------------------------------------------------------------
This Question Paper consists of three sections A, B and C.
Candidates are required to attempt all questions from Section A and all questions EITHER
from Section B OR Section C.
Section A: Internal choice has been provided in two questions of two marks each, two
questions of four marks each and two questions of six marks each.
Section B: Internal choice has been provided in one question of two marks and
one question of four marks.
Section C: Internal choice has been provided in one question of two marks and
one question of four marks.
All working, including rough work, should be done on the same sheet as, and adjacent to
the rest of the answer.
The intended marks for questions or parts of questions are given in brackets [ ].
Mathematical tables and graph papers are provided.
SECTION A - 65 MARKS
Question -1
(i) If a matrix is both symmetric and skew-symmetric, then A is a
(a) Scalar matrix
(b) Diagonal matrix
(c) Zero matrix
(d) Square matrix
2 sin x
(ii) If dx ax b log sin x C , find the value of a and b.
4
sin x
4
(a) a=1, b= 1
Crash Course for CUET/IPMAT/JEE/NEET coming soon…9871945522 1
, (b) a=2, b=3
(c) a=0, b=5
(d) a=9, b=4
1
(iii) Evaluate : sin sin 1 .
3 2
(a) 1
(b) 2
(c) 3
(d) 4
(iv) The integrating factor of differential equation 1 x 2
dy
xy 1 is
dx
(a) x
x
(b)
1 x2
(c) 1 x2
log 1 x 2
1
(d)
2
(v) Yash is appearing for an exam of Maths and Physics
let event A = Yash passes in Maths
let event B = Yash passes in Physics
given P(A) =0.30 and P(B) = 0.40 and P(A and B) = 0.20
Which one of the following is true about the events A and B?
(a) They are mutually exclusive but not independent
(b) They are independent but not mutually exclusive
(c) They are both mutually exclusive and independent
(d) They are neither mutually exclusive nor independent
(vi) If A and B are square matrices of same order such that A 2 and B I , then find the value of |B|.
3
(a)
2
1
(b)
2
4
(c)
5
Crash Course for CUET/IPMAT/JEE/NEET coming soon…9871945522 2
