1Describe the graph of the equation theta 80 degrees a a cir

1.Describe the graph of the equation theta= 80 degrees.
a. a circle of radius 1 with center at the point (1, 80°)
b. a line passing through the pole making an angle of 80° with the polar axis
c. a circle of radius .99 with center at the pole
d. a line perpendicular to the polar axis passing through the point (1, 80°).

2. Describe the graph of the equation r = 6.
a. a line passing through the pole and through the point (6, 0°)
b. a line perpendicular to the polar axis passing through the point (6, 0°)
c. a circle of radius 6 with center at the point (6, 0°)
d. a circle of radius 6 with center at the pole

3. Describe the graph of the equation r cos theta = –2.
a. a line perpendicular to the polar axis passing through the point (–2, 0°)
b. a line parallel to the polar axis and a distance of 2 below it
c. a line perpendicular to the polar axis passing through the point (–2, 90°)
d. a line parallel to the polar axis and a distance of 2 above it

Please explain with answers.

Solution

Ans(1):

correct answer is b. a line passing through the pole making an angle of 80° with the polar axis

because only angle is given so we can graph that only in polar coordinate.