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4) Let C be a circle with center at a e C and radius R > 0. For any complex number z, let z* denote its symmetric point with respect to C. Prove Ptolemy's theorem using the fact that for any two R2 complex numbers z1 and z2, neither being a, we have |2 – 2| : |21 – z2|. |21 – a| |22 – a| -

4) Let C be a circle with center at a e C and radius R > 0. For any complex number z, let z* denote its symmetric point with respect to C. Prove Ptolemy's theorem using the fact that for any two R2 complex numbers z1 and z2, neither being a, we have |2 – 2| : |21 – z2|. |21 – a| |22 – a| -

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4) Let C be a circle with center at a E C and radius R > 0. For any complex number z, let z* denote its symmetric point with respect to C. Prove Ptolemy's theorem using the fact that for any two R2 complex numbers z1 and z2, neither being a, we have |z* – z |z1 – z2). |Z1 |21 – a| |22 – a| -
Transcribed Image Text:4) Let C be a circle with center at a E C and radius R > 0. For any complex number z, let z* denote its symmetric point with respect to C. Prove Ptolemy's theorem using the fact that for any two R2 complex numbers z1 and z2, neither being a, we have |z* – z |z1 – z2). |Z1 |21 – a| |22 – a| -
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