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.
; 297°
B.
; 243°
C.
; 63°
D.
; 117°
Hint
3.
The point nearest to the origin on a line is at (-4,4). Find the standard form of the equation of the line.
A.
x
+
y
- 8 = 0
B.
x
-
y
+ 8 = 0
C.
x
+
y
+ 8 = 0
D.
x
+
y
- 4 = 0
Hint
4.
Write the equation 5
x
- 7
y
+ 24 = 0 in normal form.
A.
B.
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.
36°
B.
54°
C.
144°
D.
126°
Hint