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# Solved: Focal chords A focal chord of a conic section is a ISBN: 9780321570567 2

## Solution for problem 91AE Chapter 10.4

Calculus: Early Transcendentals | 1st Edition

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Problem 91AE

Problem 91AE

Focal chords A focal chord of a conic section is a line through a focus joining two points of the curve. The latus rectum is the focal chord perpendicular to the major axis of the conic. Prove the following properties.

Let L be the latus rectum of the parabola y2 = 4px for p > 0. Let F be the focus of the parabola, P be any point on the parabola to the left of L, and D be the (shortest) distance between P and L. Show that for all P, D + ∣FP∣ is a constant. Find the constant.

Step-by-Step Solution:

Solution 91AE

Step 1:

A Focal chords of a conic section is a line through a focus joining two points of the curve. The latus rectum is the focal chord perpendicular to the major axis of the conic.

Prove the following properties.

Let L be the latus rectum of the parabola for p > 0. Let F be the focus of the parabola, P be any point on the parabola to the left of L, and D be the (shortest) distance between P and L. Show that for all P, D + ∣FP∣ is a constant. Find the constant.

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

Since the solution to 91AE from 10.4 chapter was answered, more than 299 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The full step-by-step solution to problem: 91AE from chapter: 10.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. The answer to “Focal chords A focal chord of a conic section is a line through a focus joining two points of the curve. The latus rectum is the focal chord perpendicular to the major axis of the conic. Prove the following properties.Let L be the latus rectum of the parabola y2 = 4px for p > 0. Let F be the focus of the parabola, P be any point on the parabola to the left of L, and D be the (shortest) distance between P and L. Show that for all P, D + ?FP? is a constant. Find the constant.” is broken down into a number of easy to follow steps, and 99 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This full solution covers the following key subjects: focal, parabola, conic, let, rectum. This expansive textbook survival guide covers 85 chapters, and 5218 solutions.

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Solved: Focal chords A focal chord of a conic section is a