Suggested languages for you:

Americas

Europe

Problem 775

Describe the locus which is the set of points in a plane lying a distance of 3 units from a line in the plane. What is the locus if we remove the condition that the given points and line lie on the same plane?

Expert verified

The locus of points in a plane that are 3 units away from a given line consists of two parallel lines that are both 3 units away from the initial line. If we remove the condition that the points must lie on the same plane, the locus becomes two families of parallel planes, each at a distance of 3 units from the initial plane containing the given line, one on each side of the plane.

What do you think about this solution?

We value your feedback to improve our textbook solutions.

- Access over 3 million high quality textbook solutions
- Access our popular flashcard, quiz, mock-exam and notes features
- Access our smart AI features to upgrade your learning

Chapter 44

The most remote spot of ocean, the point at $48^{\circ} 30^{\prime} \mathrm{S}\( and \)125^{\circ} 30^{\prime} \mathrm{W}$ in the Pacific, is 1660 miles from the nearest land Pitcaim Island. Approximate the area of this oceanic expanse as (1) a circle; (2) a zone of a sphere. Compare the two. (The radius of the earth is \(3960 \mathrm{mi}\).)

Chapter 44

In a regular square pyramid, the length of each side of the square base is 12 in., and the length of the altitude is 8 in. (a) Find the length of the slant height of the pyramid (b) Find, in radical form, the length of the lateral edge of the

Chapter 44

Show if a plane intersects a sphere, the intersection is a circle.

Chapter 44

What is the radius of the circle of intersection of a plane with asphere of radius 25 if the plane is 24 units from the center of the sphere?

Chapter 44

Given two polar triangles, show that each angle of one polar triangle has the same measure as the supplement of the side lying opposite it in the other.

The first learning app that truly has everything you need to ace your exams in one place.

- Flashcards & Quizzes
- AI Study Assistant
- Smart Note-Taking
- Mock-Exams
- Study Planner