Two circles have the following properties: The x-axis is a common tangent to the circles

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Two circles have the following properties:
● The x-axis is a common tangent to the circles
● The point (8, 2) lies on both circles
● The centre of each circle lies on the line x + 2y = 22.

a. Find the equation of each circle.

b. Prove that the line 4x + 3y = 88 is a common tangent to these circles.

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

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Question Posted: Mar 09, 2023 05:43 AM

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Two circles have the following properties: The x-axis is a common tangent to the circles

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a Let the equation of the first circle be xa2 yb2 r2 where ab is the center and r is the radius Sinc...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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