JEE Main Mathematics question

MathematicsFunctionJEE Main

Let and be subsets of , the set of all real numbers. The function defined by for is one-one but not onto, if (here is the set of all positive real numbers)

Answer: (C)

Solution

We want to be one-one but not onto. On the squaring map is strictly increasing, hence one-one. Its values are positive, so

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Question ID VK-007536