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The line x+y=1 meets x-axis at A and y-axis at B,P is the midpoint of AB. `P_1` is the foot of the perpendicular from P to OA, `M_1` that form `P_1 " to OP, " P_2` is that from `M_1` to OA and so on. If `P_n`denotes the nth foot of the perpendicualar on OA from `M_(n-1) " then " OP_N`

A

`1//2`

B

`1//2^n`

C

`1//2^(n//2)`

D

`1//sqrt2`

Text Solution

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The correct Answer is:
B
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