This document appears to be an exam for mathematics containing 20 multiple choice questions related to topics like trigonometry, matrices, determinants, and angles. The questions cover concepts such as finding the modulus of a complex number, evaluating trigonometric expressions, determining the order of matrices, solving trigonometric equations, properties of triangles, and logical statements. The document provides the questions, possible answer choices for each, and space for the student to show their work and select the correct response.

1. A. 1 B. 10
C. 9 D. 29
If p: 3<4 and q:5>7 then p q is
A. True B. false
C. Valid D. -Unknown
3
6
FAZAIA SCHOOLS & COLLEGES
SEND-UP EXAM : MATHEMATICS HSSC-I
(Session 2017 – 18) A1
Roll No. Answer Sheet No.
Name of Candidate Sig. of Invigilator.
SECTION – A
Time Allowed : 25 Minutes Marks: 20
NOTE: Section – A is compulsory and comprises pages 1-2. All parts of this section are to be answered on the
question paper itself. It should be completed in the first 25 minutes and handed over to the Centre
Superintendent. Deleting/overwriting is not allowed. Do not use lead pencil.
Q. 1 Encircle the correct option i.e. A / B / C / D . All parts carry equal marks.
(i) The modulus of 1 −
i
3 is:
A. 2 B. 3
C. 4 D. 3
−
21
(ii)
The value of (−1) 2
is .
A. -1 B. − i
C. i D. 1
(iii) If tan > 0 & sin< then terminal arm of lies in
A. I B. I I
C. i i i D. iv
(iv) If A is a matrix of order m × n and B is a matrix of order n × p , then order of AB will be .
A. p × m
C. m × p
B.
D.
5 2 - 3
p × n
m × n
(v)
The value of the determinant
3 - 1
- 2 1
1 is
.
- 2
(vi) .
(vii) If A = and A2
= 1 then k is equal to
A. 0 B. 1
C. 2 D. 3
(viii) Sexagesimal measure of angle 3′ in radian is
.
π
A.
216000
3π
C.
10800
3π
B.
180
3π
D.
216000
(
V a lue of

2. Cos
2
(π )+
sin
2
(π
)+ Cot
3
(π
) 4 is .
A. 2/3 B. 3/2
C. 3 D. 2

3. −
2
3
4
6
(x) sin 2θ = .
1 + tan
2
θA.
1 − tan
2
θ
2 tan θ
C.
1 + tan
2
θ
2 tan θ
B.
1 − tan
2
θ
1 + tan
2
θD.
2 tan θ
(xi)
Sin A + Sin 2A
= .
1 + CosA + Cos 2A
A. Sin A B. Cos A
C. Tan A D. Cot A
(xii) Range of y = tan x is .
A. − 1 ≤ y ≤ 1
C. y ≥ 1 or y ≤ −
1
B. − ∝ < y < + ∝
D. y ≥ − 1 or y ≤ + 1
(xiii) In any triangle ABC r .r1. r2. r3 = .
A. ∆ B. ∆
2
C. ∆
3
D. ∆
4
b
2
+ c
2
− a
2
(xvi) = .
2bc
A. cos α
C. cosγ
B. cos β
D. sinα
(xv) If sin x =
1
, the reference angle is .
2
π π
A. B.
6 3
π π
C. D.
4 2
(xvi) Period of tan
x
is .
7
A. 7π B. 2π
C. 14π D. π
(xvii) The solution of the equation cotθ =
1
is .
3
A. π
C. π
 1
and 2π
3
and π
3
3 
B. π
D. π
and π
3
and 4π
3
(xviii) sin
cos
 = .
 2 
1
A. 0 B.
2
1
C. D. 3
6 2
(xix) The angle 90

± θ,180

± θ,270

± θ,360

±
θ
are the angles.
A. Composite B. Half
C. Quadrantal D. Allied
(xx) Contrapositive of p → q is .
A. p →~ q B. ~ p →~ q
C. ~ p → q D. ~ q →~ p

4. For Examiner’s use only: Total Marks: 20
Marks Obtained: