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JEE MATHEMATICS MCQ: PERMUTATIONS

1 Easy
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Application +4 | -1
A1,A2…AnA_1, A_2 \ldots A_n are points on the line y=xy=x lying in the positive quadrant such that OAn=nOAn−1,OO A_n=n O A_{n-1}, O being the origin. If OA1=1O A_1=1 and the coordinates of AnA_n are (25202,25202)(2520 \sqrt{2}, 2520 \sqrt{2}), then n=n=
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Correct option: C
7
Option C (7) is correct because OAn=n!OA_n = n! and solving for nn with the given coordinates of AnA_n gives n=7n = 7.

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