The line with equation 2x – 3y = 10 touches the circle with centre M(-2, 4) at the point A. Find the equation of the circle and the coordinates of A.

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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The line with equation 2x – 3y = 10 touches the circle with centre M(-2, 4) at the 
point A. Find the equation of the circle and the coordinates of A.

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