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
x
-axis.
A.
x
-
y
- 14 = 0
B.
x
-
y
+ 14 = 0
C.
x
+
y
+ 14 = 0
D.
x
+
y
+ 14 = 0
Hint
2.
Consider the equation -
x
+ 2
y
- 5 = 0. Find the length of the normal and the angle it makes with the positive
x
-axis.
A.
; 63°
B.
; 297°
C.
; 243°
D.
; 117°
Hint
3.
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
x
-axis.
A.
x
+
y
- 20 = 0
B.
x
+
y
+ 20 = 0
C.
x
-
y
+ 20 = 0
D.
x
-
y
- 20 = 0
Hint
4.
For the line given by the equation 5
x
- 7
y
+ 24, what is the length of the normal through the origin?
A.
2
B.
24
C.
D.
Hint
5.
For the line given by the equation 5
x
- 7
y
+ 24, what is the angle formed by the
x
-axis and the normal through the origin?
A.
144°
B.
36°
C.
126°
D.
54°
Hint