KING FAHD UNIVERSITY OF PETROLUEM AND MINERALS

Faculty of Sciences   Prep Year math program

Math 001 - Term 022

Part I: ( Multiple Choice Questions)

1) The y-intercept(s) of the equation : is :

2) The radius of the circle  is :

3) Which of the following defines as a function  of  :

4) If   and  are two straight lines, then which one of the

following is true :

5) The equation of the line passing through  is :

b)

6) The graph of the equation  is :

two parallel lines                                  two perpendicular lines

circle                                                      only two points

7) If the point lies in Quadrant II , then the point  lies in

8) Which one of the following is NOT TRUE :

a) The range of the greatest integer function is the set of all integers.

b) = -3 .

9) If , then the range of the function  is equal to

10) If  is the midpoint of the line segment with end points  and ,

then the value of equal to

Part II : Written Part

Question1:

Given

Question2:

Given the circle :

a) Write this circle in the standard form.

b) Find the center and radius.

Question3:  Find the domain of the following functions

a)

b)

Question4:

a) Find the equation of  a circle that  has diameter with endpoints  and .

b) Find the equation of a circle that has center  and tangent to the axis.

Question5:

a) If the two lines  and  are perpendicular, find k.

b) Find the -intercept of the line through the points and .

Question10 :

Given .

a) Find the vertex .

b) Find the equation of the axis of symmetry .

c) Find the range of

d) sketch the graph of . ( Show the axis of symmetry , -intercept(s),and

-intercept(s) ).

e) Determine the interval in which  is increasing .

f) Determine the interval in which  is decreasing .

Question11:

Given the two points A(-2,3)  and B(-1,-5).

a) Find the equation of the line passing through the points A and B.

b) Find the distance between points A and B.

c) Find the midpoint of the line segment joining the points A and B.