Explanation Given: The distance between the point ( 2 , 3 ) and all points with integers coordinates is 5. Formula used: Equation of circle whose radius r and center ( a , b ) is: ( x − a ) 2 + ( y − b ) 2 = r 2 Calculation: Let ( 2 , 3 ) be the center of the circle and radius is 5. Now, we have to find the equation of circle. The formula is: ( x − a ) 2 + ( y − b ) 2 = r 2 Substitute 2 for a , 3 for b and 5 for r in the baove formula. ( x − 2 ) 2 + ( y − 3 ) 2 = ( 5 ) 2 ( x − 2 ) 2 + ( y −</

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on …

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Chapter 1.1, Problem 38E

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Find all the points in the xy− plane with integer coordinates located at a distance 5 from the origin. Also, find all points which are located at the distance 5 from (2,3).

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Chapter 1.1, Problem 37E

Chapter 1.1, Problem 39E

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Chapter 1 Solutions

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Ch. 1.1 - Prob. 1PQ Ch. 1.1 - Prob. 2PQ Ch. 1.1 - Prob. 3PQ Ch. 1.1 - Prob. 4PQ Ch. 1.1 - Prob. 5PQ Ch. 1.1 - Prob. 6PQ Ch. 1.1 - Prob. 7PQ Ch. 1.1 - Prob. 8PQ Ch. 1.1 - Prob. 9PQ Ch. 1.1 - Prob. 10PQ

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Find all the points in the x y − plane with integer coordinates located at a distance 5 from the origin. Also, find all points which are located at the distance 5 from ( 2 , 3 ) .

Solution Summary: The author explains how to determine the distance between the points in the xy- plane and all points with integer coordinates located at a distance 5 from the origin.

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Find all the points in the xy− plane with integer coordinates located at a distance 5 from the origin. Also, find all points which are located at the distance 5 from (2,3).

Want to see the full answer?

Chapter 1 Solutions