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.
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
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.
Write the standard form of the equation of a line for which the length of the normal segment to the origin is 19 and the normal makes an angle of 150° with the positive
x
-axis.
A.
x
+
y
- 19 = 0
B.
x
+
y
- 38 = 0
C.
x
-
y
+ 19 = 0
D.
x
-
y
+ 38 = 0
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.
x
- 3
y
= 0
B.
3
x
-
y
- 24 = 0
C.
3
x
+
y
- 30 = 0
D.
x
+ 3
y
- 18 = 0
Hint