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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.8, Problem 43E

To determine

**To calculate: **The point on y-axis that is equidistant from the points

Expert Solution

The point on y-axis that is equidistant from the points

**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