   Chapter 0.7, Problem 17E

Chapter
Section
Textbook Problem

Find the value of k such that ( 1 , k ) is equidistant from ( 0 , 0 ) and ( 2 , 1 ) .

To determine

To calculate: The value of k such that (1,k) is equidistant from (0,0) and (2,1).

Explanation

Given Information:

The provided points are (1,k), (0,0) and (2,1).

Formula used:

Distance formula:

Let d be the distance between two points (x1,y1) and (x2,y2) then

d=(x2x1)2+(y2y1)2

Where, x1, y1, x2, and y2 are co-ordinates.

Calculation:

Consider the points (1,k) and (0,0), (2,1)

Point (1,k) is equidistant from point (0,0) and (2,1)

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