Geometry For Enjoyment And Challenge
Geometry For Enjoyment And Challenge
91st Edition
ISBN: 9780866099653
Author: Richard Rhoad, George Milauskas, Robert Whipple
Publisher: McDougal Littell
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Chapter 16.1, Problem 9PS
To determine

To find: The value of k given in the equation.

Expert Solution & Answer
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Answer to Problem 9PS

The value of k given in the equation is 1or21

Explanation of Solution

Given information:

The given equation of the line is,

  3x4y+k=0

The centre of the circle is at (5,1) and the radius of the circle is 2unit .

The radius of the circle and the distance from the centre to the graph of the given equation of the line are equal.

The value of k given in the equationis calculated as,

  d=|ax1+by1+c|a2+b22=|3(5)+(4)(1)+k|(3)2+(4)210=|k+11|k=1or21

Thus, the value of k given in the equation is 1or21 .

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