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The center of a circle is the point C(5,4). The circle touches the y-axis at the point D and intersects the x-axis at the points A and B, with A being closer to the y-axis than B. (a) Write down the general equation of the circle. (b) State the coordinates of D and find the coordinates of A and B. (c) ) Find the equation of the locus of the point P such that the distance from P to Dis twice the distance from P to A (PD=2PA).

The center of a circle is the point C(5,4). The circle touches the y-axis at the point D and intersects the x-axis at the points A and B, with A being closer to the y-axis than B. (a) Write down the general equation of the circle. (b) State the coordinates of D and find the coordinates of A and B. (c) ) Find the equation of the locus of the point P such that the distance from P to Dis twice the distance from P to A (PD=2PA).

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. The center of a circle is the point C(5,4). The circle touches the y-axis at the point D and intersects the x-axis at the points A and 8, with A being closer to the y-axis than B. (a) Write down the general equation of the circle. (b) State the coordinates of D and find the coordinates of A and B. (c) () Find the equation of the locus of the point P such that the distance from P to D is twice the distance from P to A (PD=2PA).
Transcribed Image Text:1. The center of a circle is the point C(5,4). The circle touches the y-axis at the point D and intersects the x-axis at the points A and 8, with A being closer to the y-axis than B. (a) Write down the general equation of the circle. (b) State the coordinates of D and find the coordinates of A and B. (c) () Find the equation of the locus of the point P such that the distance from P to D is twice the distance from P to A (PD=2PA).
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