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Friday, 9 October

JEE Main 2017 · MathsMultiple choiceSingle correctMediumConceptual

JEE Main 2 April 2017 (offline), Maths Q61

Question 61 of 90 in this shift, Maths question 1 of 30.

The function f:R→[−12,12]f:\mathbf{R}\rightarrow\left[-\frac{1}{2},\frac{1}{2}\right] defined as f(x)=x1+x2f(x)=\frac{x}{1+x^2}, is :
  1. (1)injective but not surjective.
  2. (2)surjective but not injective.Official answer
  3. (3)neither injective nor surjective.
  4. (4)invertible.

Official answer

Option 2

CBSE answer key (25/04/2017, used for result).

Chapter
Relations and Functions
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA (CBSE ran the 2017 exam); answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.