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A circle C with radius 5 units passes through the x – axis at points (5, 0) and (-3, 0). (i) Given that the centre is below the x-axis, find the equation of circle C.

A circle C with radius 5 units passes through the x – axis at points (5, 0) and (-3, 0). (i) Given that the centre is below the x-axis, find the equation of circle C.

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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A circle C with radius 5 units passes through the x – axis at points (5, 0) and (-3, 0). (i) Given that the centre is below the x-axis, find the equation of circle C. (ii) State two possible equations of a horizontal line that is tangent to circle C. (iii) The tangent to circle C at point (-3, 0) intersects the horizontal lines in (ii) at points P and Q. Find the exact length of PQ.
Transcribed Image Text:A circle C with radius 5 units passes through the x – axis at points (5, 0) and (-3, 0). (i) Given that the centre is below the x-axis, find the equation of circle C. (ii) State two possible equations of a horizontal line that is tangent to circle C. (iii) The tangent to circle C at point (-3, 0) intersects the horizontal lines in (ii) at points P and Q. Find the exact length of PQ.
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