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A variable line cuts n given concurrent ...

A variable line cuts n given concurrent straight lines at `A_1,A_2...A_n` such that `sum_(i=1)^n 1/(OA_i)` is a constant. Show that it always passes through a fixed point, O being the point of intersection of the lines

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The correct Answer is:
`((pmsum_(p=1)^(n)1/(sqrt((1+p^(2)))))/c,(pmsum_(p=1)^(n)p/(sqrt((1+p^(2)))))/c)`
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