Divisional
Model College, Faisalabad.
Name __________________________ Class: 9th Subject: Mathematics
(Objective) Marks: 50
Q1. Choose the correct answer from the given
four options. /20
|
|
Questions |
A |
B |
C |
D |
|
1 |
The order
of matrix [2 1] is ……. |
2-by-1 |
1-by-1 |
1-by-2 |
2-by-2 |
|
2 |
|
Zero |
Unit |
Scalar |
Singular |
|
3 |
Which is
order of a square matrix …….. |
2-by-2 |
2-by-1 |
1-by-2 |
3-by-2 |
|
4 |
Product of
[x y] |
[2x+y] |
[x-2y] |
[2x-y] |
[x+2y] |
|
5 |
|
Scalar |
Identity |
Null |
Unit |
|
6 |
A square
matrix A is called symmetric if At=…….. |
At |
-At |
A |
-A |
|
7 |
Write |
|
|
|
|
|
8 |
In |
3 |
|
35 |
None |
|
9 |
|
|
|
|
|
|
10 |
The value
of |
-1 |
1 |
𝑖 |
-𝑖 |
|
11 |
Imaginary
part of –(3𝑖+2) is ……… |
-2 |
2 |
3 |
-3 |
|
12 |
The
conjugate of 5+4𝑖 is ……… |
-5+4𝑖 |
-5-4𝑖 |
5-4𝑖 |
5+4𝑖 |
|
13 |
Which of
the following sets have the closure property w.r.t addition …… |
{0} |
{0, -1} |
{0,1} |
{1, |
|
14 |
A
non-terminating, non-recurring decimal represents …… |
Natural number |
Rational number |
Irrational number |
Prime number |
|
15 |
The
relation y=logz x implies …….. |
|
|
|
|
|
16 |
The
logarithm of any number to itself as base is ………. |
1 |
0 |
10 |
E |
|
17 |
For common
logarithm the base is ………. |
e |
10 |
1 |
100 |
|
18 |
The
logarithm of unity to any base is ………. |
1 |
10 |
e |
0 |
|
19 |
Logp – logq
is same as ……… |
log |
Log (p - q) |
|
log |
|
20 |
Log
e=……….. where e= 2.718 |
0 |
0.4343 |
1 |
∞ |
(Subjective
Part)
Marks: 30
Solve
any five question in each of the following section. Each carry 2 marks.
Section I
(i). Define
Matrix.
Ans. A rectangular array or a formation
of a collection of real numbers, say 0,1,2,3,4 and 7, such as: 
and then enclosed
by brackets ‘[ ]’ is said to form a matrix.
(ii).
Define Rectangular Matrix.
Ans. A matrix M is called rectangular
if, the number of rows of M is not equal to the number of columns of M.
(iii).
Define Null Matrix.
Ans. A matrix M is called a null or zero
matrix if each of its entries is 0.
(iv). Define
Diagonal Matrix.
Ans. A square matrix A is called a
diagonal matrix if at least any one of the entries of its diagonal is not zero
and non-diagonal entries must all be zero.
(v).
Solve 
Ans. 
(vi). If
A=
then verify that A-At
is skew symmetric.
Ans. A-At = 
= -( A-At )
(vii).
Find product of 
Ans. 
(viii).
Find the determinant of B=
Ans. -8
(ix). Is
A=
a singular or non singular
matrix.
Ans. A is singular
(x).
Find the value of X if 
Ans. 
Section
II
(i).
Define Irrational Numbers.
Ans. The decimal form of an irrational
numbers would continue forever and never begin to repeat the same block of
digits. So the number cannot be written inform of 
(ii).
Simplify 
Ans. -5
(iii).
Simplify 
Ans. 
(iv).
Define Complex Number
Ans. A number of the form z=a+b𝑖 where a and b are real numbers and 
is called a
complex number and is represented by z i.e., z=a+𝑖b.
(v).
Evaluate 
Ans. -1
(vi).
Express the complex number in standard form a+bi –(-3+5i)-(4+9i)
Ans. -1 -14𝑖
(vii).
Simplify and write in form of a+bi(2-
Ans. -2-10𝑖
(viii).
Simplify 
Ans. 
(ix). If Z=2+𝑖
find Z-Z Ans. 0
(x). If
(a-1) – (b+3) = 5+8𝑖 then find value of a and b. Ans. A=6, B=-11
Section III
(i).
Define Scientific Notation.
Ans. A number written in the form 
, Where 
and n is an
integer, is called the scientific notation.
(ii).
Express in ordinary notation of 
Ans. 50600000000
(iii).
Evaluat by using logarithm table log 0.3206 Ans. -1.5059
(iv).
Find value of X if logx=5 Ans. 32
(v).
Find value of X if log6=0.5 Ans. 36
(vi).
Calculate log32 
log281 Ans. 4
(vii).
Find value of x if logx = 2.4543 Ans. 284.6
(viii).
Express in scientific notation 0.000643
Ans. 
(ix). Written form of sum or
difference 
Ans.
(x). Written form of single logarithm
2logx – 3logy Ans.
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