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JEE Main Mathematics question

MathematicsSequence and SeriesJEE Main

Let be squares such that for each , the length of the side of equals the length of the diagonal of . If the length of the side of is , then the smallest value of for which the area of is less than one, is

Answer: 9

Solution

The side of is times the side of , so the areas halve: . needs , i.e. (as ). The smallest value is . Note: (the stem is heavily garbled

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Question ID VK-022188