Question
Asked Nov 22, 2019
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37.3 Let 1be a line that meets the circle in
two points A, B. Let y be the (unique)
circle through O, A, B. Prove that y is
A
the transform of l under inversion
in
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37.3 Let 1be a line that meets the circle in two points A, B. Let y be the (unique) circle through O, A, B. Prove that y is A the transform of l under inversion in

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Expert Answer

Step 1

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Proof: Draw a line perpendicular to the line / such that it cuts the circle yat P and line l at Р. By properties ofcircle. OA LAP. г В A

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Step 2

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OA ОP Thus, we have OA ОP Then, OA2 OP-OP' which, by the concept of inversion, makes the points P and P inverses of each other and also, makes the circle T, the inversion circle

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Math

Advanced Math