This document appears to be the first two pages of a mathematics exam for HSSC-II students. It contains 20 multiple choice questions in Section A to be completed in 25 minutes. The questions cover topics in functions, limits, derivatives, integrals, vectors, and lines/curves. Students are instructed to answer directly on the question paper and that deleting or overwriting answers is not allowed. Scoring information is provided at the bottom to track the student's total and obtained marks for the section.

1. Page 1 of 2 (MATHEMATICS – HSSC-II)
FAZAIA SCHOOLS & COLLEGES
SEND-UP EXAM: MATHEMATICS HSSC-II
(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. Each part carries one mark.
(i) A function of the form f ( x, y) = 0 is called function.
A. Parametric B. Implicit
C. Explicit D. Identity
(ii) Range of the function f ( x) = x
2
+ 1 is .
(iii)
A. (−∞, ∞)
C. [1, ∞)
Li m
(e
x
) = .
B. (0, ∞)
D. (∞ − ∞)
x → −∞
A. ∞ B. − ∞
C. 1 D. 0
(iv) The parametric equations x = a cosθ , y = b
sinθ
represent equation of .
A. Parabola B. Hyperbola
C. Ellipse D. Circle
d −
 (v) tan
1

1
 =
_________.
dx  x 
A. −
1
1 + x
2
x
C.
1 + x2
1
B.
1 + x
2
− x
D.
1 + x
2
(vi) 1 + x +
x2
+ .......... .... is expansion of_ .
2!
A. sin x
C. n(1 + x)
B. cos x
D. e x
(vii) f ( x) = cos
x
is increasing function in .
π
A. to π
2
B. π to 3
π
2
C. 0 to π D. − π to 0
(viii) The slope of the tangent line to the graph of f at ( x, f ( x)) is .
A. f ′( x) B. f ( x)

2. Page 2 of 2 (MATHEMATICS – HSSC-II)
C. y D. f ′ ( x)

3. 1
(ix) ∫ (nx).
x
dx = ____________ .
2
A. (nx)
2
+ c B.
(nx)
x
C.
(nx) 2
+ C
x
2 D.
1
(nx )
2
+ C
2
(x)
∫
cosec
2
x
cot x
dx = ____________ .
A. n cot x + c B. tan x + c
C. − n cot x + c
2
1 .
D. cot x + c
(xi) ∫ 4 + x
2
dx = ___________

π
A. 1 B.
2
π π
C. D.
4 8
(xii) The area bounded by the x –axis and graph of Sin function from −
π
A. 0 B. 1
C. 2 D. 4
(xiii) The slope of the line 2 x + 3 y = 7 is
.
to π is .
2 1
A. B.
3 3
− 2 − 1
C. D.
3 2
(xiv) The equation ax
2
+ 2hxy + by
2
= 0 represents two real and distinct straight lines if .
A. h
2
> ab
C. h
2
= ab
B. h
2
< ab
D. h = 0
(xv) Equation of a straight line parallel to y − axis and through (1,2) is .
A. x = 0
C. x = 1
B. y = 0
D. y = 2
(xvi) Slope intercept form of equation 5x -12y + 39 = 0 is .
x
A. +
− 39 / 5
y
= 1
39 / 12
5 39
B. y = X +
12 12
5 x
C.
− 13
12 y
+ = 3
13
5
D. y − o =
12
39
( X + )
5
(xvii) (2i.3j) x k is .
A. 2i – j B. 2i – 3k
C. 0 D. k
(xviii) If vectors a, b, and c are there position vectors of sides of a triangle, then .
A. a − b − c = 0
C. a = b − c
B. a = b = c
D. a + b + c = 0
(xix) If a × b = 0 and a.b = 0 then .
A. a and b are parallel B. Either a = 0 or b = 0
C. a and b are perpendicular
D.
a ≠ 0, b ≠ 0
(xx) Which of the following can be the direction angles of a single vector?
A. 45
O
,45
O
,
60
O
B. 30
O
,45
O
,60
O

4. C. 45
O
,60
O
,
60
O
D. No vector
For Examiner’s use: Total Marks: 20
Marks Obtained:

5. Page 3 of 2 (MATHEMATICS – HSSC-II)

6. Page 3 of 2 (MATHEMATICS – HSSC-II)