A circle has centre C(6, -3) and radius ✓10. The point Q has coordinates (10, 1). It can be shown that QC = 4√2. A tangent from Q to the circle meets the circle at T. Find the length of QT.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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A circle has centre C(6, -3) and radius ✓10.
The point Q has coordinates (10, 1).
It can be shown that QC = 4√2.
A tangent from Q to the circle meets the circle at T.
Find the length of QT.
Transcribed Image Text:A circle has centre C(6, -3) and radius ✓10. The point Q has coordinates (10, 1). It can be shown that QC = 4√2. A tangent from Q to the circle meets the circle at T. Find the length of QT.
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