apollonius circle

Question

Let L nd M divide the join of A nd B internally at L nd externally at M in the ratio k:1,such that AL/LB=AM/MB=k

Now if we draw a circle wid LM as diameter how do we show dat for any pt P on d circle AP/PB=k and PL and PM bisect angle APB internally and externally.

Aman Bansal · Accepted Answer

dear student,

we can prove some particular solutions of the above question , such as when k=1, 1/2.

but not by taking generl value.....

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AMAN BANSAL

Analytical Geometry> apollonius circle...

Let L nd M divide the join of A nd B internally at L nd externally at M in the ratio k:1,such that AL/LB=AM/MB=k

Now if we draw a circle wid LM as diameter how do we show dat for any pt P on d circle AP/PB=k and PL and PM bisect angle APB internally and externally.

shaswat roy , 15 Years ago

Aman Bansal

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Analytical Geometry> apollonius circle...

Let L nd M divide the join of A nd B internally at L nd externally at M in the ratio k:1,such that AL/LB=AM/MB=k Now if we draw a circle wid LM as diameter how do we show dat for any pt P on d circle AP/PB=k and PL and PM bisect angle APB internally and externally.

shaswat roy , 15 Years ago

Aman Bansal

LIVE ONLINE CLASSES

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