Question Math 2( Chapter 9
1- If |𝐴| = 0 Then A-1 (the inverse of A ) is
a)does not exit
2- When A =[
b) exit
2 3
]
1 0
c)none
then |𝐴|. |𝐴|
a)-3
b)9
2
3) Let A = [
1
a) − 3
4- If [
c)None
3
] , then det A =
0
b) 6
1 4
1−𝑎
]=[
2 −5
2
a) 1
c) None
4
] , then a =
−5
b) 0
c) None
1
4
𝑎 𝑏
] =[
] then the following statement is
−2 −3
−2 𝑐
a)True
b)False
c)conditional
5-If
[
6-The order of a matrix A=[
2
1
a)3×3
3 5
] is
6
0
b)2×3
7- The properties of matrix Addition
a)associative
c)3×2
(A+B)+C=A+(B+C) is
b)commutative
c)inverse
8- s×t matrix A and the m×n matrix B if t=m, then matrix multiplication is
a)impossible
b)possible
1 2
9) If A = [
] ,then 𝐴−1= :
0 2
3
1
a) [ 2
]
1 2
1
b) [
−1
c) s=n
−3
2
2
1 −1
c) [0
1 ]
]
2
0
01)If A = [1 2 3] , B = [ ] ,then A . B =
4
12
8
a) [ ]
b) [ ]
c) [8 12]
8
12
5
11) Let A = [
1
a) 16
1
12) Let A = [
10
a) −6
−1
] ,then det(A) =:
3
b) 6
c) 7
8
] ,then 𝑎22 =
−6
b) 10
d) None
c) 8
1
d)None
d) None
Chapter 8
1-The solve of system y-5=logx
,y=6-log(x-3)
a)(5 , log5 +5) and (5 , 6-log2)
b)(-2 , log(-2)+5)
c)None
a−b=2
, then the point solution (a ,b)=
2a + b = 13
a)(2,3 )
b) (5,3)
2-Let {
3-If
c) None
y=x+7 the equation is
a)linear
b)Nonlinear
c)None
4-systems that have no solutions are called
a)Independent
b)Dependent
c)an inconsistent
5-Systems having one solution are called
a)Independent
b)Dependent
c)an inconsistent
6-Systems having all point solution are called
a)Independent
b)Dependent
c)an inconsistent
7-The equation of a circle with radius 3 and center at (0 ,0) is
a)(x-1)2 +(y-1)2 =25
b)x2 +y2 =25
2
c)x2 +y2 =9
Chapter 10
1-The distance from p1 to p2 is if p1 =(7 ,1) , p2 =(3 ,-2)
a)5
b)10
c) None
2-The midpoint of line segment p1=(-4,-2) to p2 =(4 , 4 ) is
a)(8 ,6)
b)(0 , 1)
c) None
3-T he distance between a point and a line always refers to the
a) Perpendicular distance
b) horizontal
c) None
4-The center of the hyperbola is always the point halfway between
a) Tow foci
b)tow vertices
c)tow point
5-The Line passing through the center of hyperbola and both vertices
is called the
b) center
b)conjugate axis
c)transverse axis
6-The Line passing through the center of hyperbola and
perpendicular to the transverse axis
c) center
b)conjugate axis
c)transverse axis
7-The distinguishing between the equations of Ellipse and a circle
(Ax2 +By2 =1) is
a) A=B in the circle
8-The equation of parabola
a)horizontal
b) A≠B in the ellipse
c) a and b
x2=4py is
b)vertical
c)left and right
9-……….. is the set of all point (x,y)such that the distance from focus
to (x,y) is equal to the distance from line directrix
a)parabola
b)ellipse
c)circle
10-For a vertical ellipse the line of the minor axis is……..and the
length of the major axis is ……….
a)2a ,2b
b) a , b
3
c) none
4