Concept explainers
To calculate: The point on y-axis that is equidistant from the points
Answer to Problem 43E
The point on y-axis that is equidistant from the points
Explanation of Solution
Given information:
The two points
Formula used:
Distance formula between two points
Calculation:
Consider the given two points
Since, the point that is equidistant from the two points
Let us assume the point on y-axis be
It is given that point P is equidistant from the points A and B, so, the distance between P and A is equal to the distance between P and B, which can be mathematically written as,
Recall the distance formula between two points
Apply it,
Square both sides of the equation as,
Cancel out the common terms and isolate
Since,
Thus, point on y-axis that is equidistant from the two points
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning