Identify the conic that the polar equation represents. Also, give the position of the directrix.
-$$r = \frac { 6 } { 3 - 4 \cos \theta }$$
A) ellipse, directrix is perpendicular to the polar axis at a distance $\frac { 3 } { 2 }$ units to the right of the pole
B) hyperbola, directrix is perpendicular to the polar axis at a distance 3 units to the right of the pole
C) hyperbola, directrix is perpendicular to the polar axis at a distance $\frac { 3 } { 2 }$ units to the left of the pole
D) ellipse, directrix is perpendicular to the polar axis at a distance 3 units to the left of the pole

Question

Identify the conic that the polar equation represents. Also, give the position of the directrix.
-$$r = \frac { 6 } { 3 - 4 \cos \theta }$$
A) ellipse, directrix is perpendicular to the polar axis at a distance $\frac { 3 } { 2 }$ units to the right of the pole
B) hyperbola, directrix is perpendicular to the polar axis at a distance 3 units to the right of the pole 
C) hyperbola, directrix is perpendicular to the polar axis at a distance $\frac { 3 } { 2 }$ units to the left of the pole
D) ellipse, directrix is perpendicular to the polar axis at a distance 3 units to the left of the pole

Quizplus · Accepted Answer

The Answer of Identify the conic that the polar equation represents. Also, give the position of the directrix.
-$$r = \frac { 6 } { 3 - 4 \cos \theta }$$
A) ellipse, directrix is perpendicular to the polar axis at a distance $\frac { 3 } { 2 }$ units to the right of the pole
B) hyperbola, directrix is perpendicular to the polar axis at a distance 3 units to the right of the pole 
C) hyperbola, directrix is perpendicular to the polar axis at a distance $\frac { 3 } { 2 }$ units to the left of the pole
D) ellipse, directrix is perpendicular to the polar axis at a distance 3 units to the left of the pole

Identify the Conic That the Polar Equation Represents r=63−4cos⁡θr = \frac { 6 } { 3 - 4 \cos \theta }r=3−4cosθ6​

Identify the Conic That the Polar Equation Represents $r = \frac { 6 } { 3 - 4 \cos \theta }$