Using GeoGebra, find the intersections of the line y = 2x-5 with the circle x² + y² = 25. Then find the intersections of the -2x + 11y = 25 with the same circle. With hand calculations, show that these lines create chords of equal length when they intersect the circle. Measure the inscribed angle formed by these chords with the Measure Angle tool.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Using GeoGebra, find the intersections of the line y = 2x-5 with the circle x² + y² = 25. Then find
the intersections of the -2x + 11y = 25 with the same circle. With hand calculations, show that these
lines create chords of equal length when they intersect the circle. Measure the inscribed angle formed by
these chords with the Measure Angle tool.
Transcribed Image Text:Using GeoGebra, find the intersections of the line y = 2x-5 with the circle x² + y² = 25. Then find the intersections of the -2x + 11y = 25 with the same circle. With hand calculations, show that these lines create chords of equal length when they intersect the circle. Measure the inscribed angle formed by these chords with the Measure Angle tool.
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