A variable line intersects n lines y=px (p=1,2,3...n) in the points A 1 , A 2 , A 3 ....A n respectively. If ∑ 1 /OA i (i=1 to n) = C (constant) , show that the passes through a fixed point. Find the co-ordinates of that point. (O being origin).

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A variable line intersects n lines y=px (p=1,2,3...n) in the points A 1 , A 2 , A 3 ....A n respectively. If ∑ 1 /OA i (i=1 to n) = C (constant) , show that the passes through a fixed point. Find the co-ordinates of that point. (O being origin).

A variable line intersects n lines y=px (p=1,2,3...n)
in the points A₁, A₂ , A₃....A_nrespectively.
If ∑ 1 /OA_i (i=1 to n) = C (constant) , show that
the passes through a fixed point. Find the co-ordinates of that point. (O being origin).

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A variable line intersects n lines y=px (p=1,2,3...n) in the points A 1 , A 2 , A 3 ....A n respectively. If ∑ 1 /OA i (i=1 to n) = C (constant) , show that the passes through a fixed point. Find the co-ordinates of that point. (O being origin).

A variable line intersects n lines y=px (p=1,2,3...n)in the points A1, A2 , A3....An respectively. If ∑ 1 /OAi (i=1 to n) = C (constant) , show thatthe passes through a fixed point. Find the co-ordinates of that point. (O being origin).

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A variable line intersects n lines y=px (p=1,2,3...n)
in the points A₁, A₂ , A₃....A_nrespectively.
If ∑ 1 /OA_i (i=1 to n) = C (constant) , show that
the passes through a fixed point. Find the co-ordinates of that point. (O being origin).