R(-2,4) and S (6,–2) are the endpoints of the diameter of a circle K. Obtain a. The equation of the circle K in general form b. The length of the tangents from the point (2,-8) to the circle K. 3 c. Show that line y =-x-18 does not intersect circle K. Hence, find the 2 shortest distance between the line and the circle.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter11: Conics
Section11.1: Distance And Midpoint Formulas; Circles
Problem 11.8TI: Use the Midpoint Formula to find the midpoint of the line segments whose endpoints are (2,5) and...
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R(-2,4) and S(6,-2) are the endpoints of the diameter of a circle K. Obtain
The equation of the circle K in general form
b. The length of the tangents from the point (2,-8) to the circle K.
3
c. Show that line y =-x-18 does not intersect circle K. Hence, find the
2
shortest distance between the line and the circle.
Transcribed Image Text:R(-2,4) and S(6,-2) are the endpoints of the diameter of a circle K. Obtain The equation of the circle K in general form b. The length of the tangents from the point (2,-8) to the circle K. 3 c. Show that line y =-x-18 does not intersect circle K. Hence, find the 2 shortest distance between the line and the circle.
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