WorksheetsElectrical FE Study Session 1
Total questions: 10
Worksheet time: 30mins
Name
Class
Date
1.
Represent the two matrices as a single matrix
a)
b)
c)
d)
No solution
2.
Which of the following is perpendicular to the plane formed by vectors A and B when A=(1,-2,8) and B=(4,-3,-1)?
a)
(-26,33,5)
b)
(26,33,5)
c)
(26,-33,5)
d)
(-26,33,-5)
3.
Simplify the complex expression
2+10i7−i
a)
261−139i
b)
27−101i
c)
134−72i
d)
27−134i
4.
Select all the root(s) in f(x) = x−1x3+3x2−x−3
a)
3
b)
-3
c)
1
d)
-1
5.
Find the equation of the graph:
a)
x2+y2=4
b)
x2+y2=16
c)
(x−4)2+(y−4)2=1
d)
x2+y2=2
6.
Calculate the determinant of the matrix:
a)
1
b)
19
c)
191
d)
−191
e)
-19
7.
Find the sphere with a radius of 2 and a center of (1,1,−1).
a)
x2+y2+z2−2=0
b)
(x+1)2+(y+1)2+(z−1)2+2=0
c)
(x+1)2+(y+1)2+(z−1)2−2=0
d)
(x−1)2+(y−1)2+(z+1)2−2=0
8.
The set of all positive real numbers, R+ = (0, ∞) , contains a least element.
a)
True
b)
False
9.
Find the center of the circle: x2+2x+y2−3=6
a)
(1, 0)
b)
(-1, 0)
c)
(1, 1)
d)
(-1, 1)
10.
What is the approximate length of the unknown side of the triangle?
a)
4.7
b)
4.0
c)
7.7
d)
5.2
100 %
