Chapter 10: Q 37. (page 683)

$e = 1$ directrix is parallel to the polar axis $1$ unit above the pole.

Short Answer

Expert verified

The polar equation is

$r = \frac{1}{1 + \sin (θ)}$

Step by step solution

Step 1. Given information

$e = 1$

The directrix is parallel to the polar axis $1$ unit above the pole.

Step 2. Identify e and p

It is given that

$e = 1$

And the directrix is parallel to the polar axis $1$ unit above the pole.

So, $p = 1$

Step 3. Set up the polar equation

It is given that

focus is at the pole.

The directrix is parallel to the polar axis $1$ unit above the pole.

So, we can apply standard polar equation formula

$r = \frac{e p}{1 + e \sin (θ)}$

Plug $e = 1, p = 1$

So, the polar equation is

$r = \frac{1 \times 1}{1 + 1 \sin (θ)} r = \frac{1}{1 + \sin (θ)}$

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$e = 1$ directrix is parallel to the polar axis $1$ unit above the pole.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify e and p

Step 3. Set up the polar equation

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e=1 directrix is parallel to the polar axis 1 unit above the pole.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify e and p

Step 3. Set up the polar equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Pure Maths

Probability and Statistics

Calculus

Mechanics Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

$e = 1$ directrix is parallel to the polar axis $1$ unit above the pole.