Find the eccentricity of the polar equation $$r = \frac { 78 } { 26 + \cos \theta }$$
A) 78
B) $\frac { 1 } { 26 }$
C) 26
D) 13
E) $\frac { 1 } { 78 }$

Question

Find the eccentricity of the polar equation $$r = \frac { 78 } { 26 + \cos \theta }$$ 
A) 78
B) $\frac { 1 } { 26 }$
C) 26
D) 13
E) $\frac { 1 } { 78 }$

Quizplus · Accepted Answer

The eccentricity of a polar equation of the form $r = \frac { l } { 1 + e\cos \theta }$ is given by $e$, where $l$ is the semi-latus rectum and $e$ is the eccentricity. Comparing the given equation $r = \frac { 78 } { 26 + \cos \theta }$ with the standard form, we see that $e = \frac{1}{26}$.

Find the Eccentricity of the Polar Equation r=7826+cos⁡θr = \frac { 78 } { 26 + \cos \theta }r=26+cosθ78​

Find the Eccentricity of the Polar Equation $r = \frac { 78 } { 26 + \cos \theta }$