The function f : X Y defined by f(x)= x, where x X, is one-one and onto if X and Y are respectively equal to

NDA 2017 Mathematics question

The function defined by , where , is one-one and onto if X and Y are respectively equal to

Answer: (A)

On , decreases strictly from 1 to , so it is one-one and takes every value of exactly once. On \dfrac{π}{2}$,

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Question ID VK-028645