   Chapter 10.3, Problem 41E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Where a > 0 and b > 0 , the graph of the circle x 2 + y 2 = b 2 contains point X in Quadrant II with x -coordinate – a . It also contains a second point Y in Quadrant IV where x = a . Find an expression for the length of X Y - in terms of a and b .

To determine

To find:

The expression for the length of XY- in terms of a and b.

Explanation

The graph of the circle is x2+y2=b2.

Point X lies on Quadrant II with x-coordinate a.

Point Y lies on Quadrant IV with x-coordinate a.

A circle is drawn in the coordinate system with the given data.

Let O be the origin.

From is x2+y2=b2 the radius is b

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