JEE Main 2016 — Functions Question with Solution
From: JEE Main 2016 (Offline)
Question
If , and ; then
Choose an option
Show full solutionCorrect option: C
Correct answer
Ccontains exactly two elements.
Step-by-step explanation
We have,
(i)
On replacing by in the above equation, we get
On multiplying Eq. (ii) by 2, we get
and subtracting Eq. (i) from Eq. (iii), we get
Now, consider
Hence, contains exactly two elements.
On replacing by in the above equation, we get
On multiplying Eq. (ii) by 2, we get
and subtracting Eq. (i) from Eq. (iii), we get
Now, consider
Hence, contains exactly two elements.
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This is a previous-year question from JEE Main 2016, covering the Functions chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.