

1. 
Write the standard form of a line for which the length of the normal segment to the origin is 7 and the normal makes an angle of 120° with the positive xaxis. 


A. 
x + y + 14 = 0 
B. 
x + y + 14 = 0 


C. 
x  y  14 = 0 
D. 
x  y + 14 = 0 


Hint 


2. 
Write the standard form of the equation of a line for which the length of the normal segment to the origin is 10 and the normal makes an angle of with the positive xaxis. 


A. 
x  y  20 = 0 
B. 
x + y + 20 = 0 


C. 
x + y  20 = 0 
D. 
x  y + 20 = 0 


Hint 


3. 
Write the equation 5x  7y + 24 = 0 in normal form. 


A. 

B. 



C. 

D. 



Hint 


4. 
For the line given by the equation 5x  7y + 24, what is the angle formed by the xaxis and the normal through the origin? 


A. 
126° 
B. 
54° 


C. 
36° 
D. 
144° 


Hint 


5. 
The point nearest to the origin on a line is (9, 3). Find the standard form of the equation of the line. 


A. 
3x  y  24 = 0 
B. 
x  3y = 0 


C. 
3x + y  30 = 0 
D. 
x + 3y  18 = 0 


Hint 

