The function f:X Y defined by f(x)= x is one-one but not onto, if X and Y are respectively equal to

JEE Main Mathematics question

The function defined by is one-one but not onto, if and are respectively equal to

(A) and
(B) and
(C) and Correct
(D) and

Answer: (C)

Solution

We need an interval on which is one-one, together with a co-domain strictly larger than its range. (C): on , increases from 0 to 1, so it is one-one; its range is smaller than the co-domain , so it is not

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-007365