JEE Main 2026 — Basic of Mathematics Question with Solution
JEE Main 2026 (24 January Shift 1)
Question
The number of the real solutions of the equation: is
Choose an option
Show full solutionCorrect option: C
Correct answer
C3
Step-by-step explanation
Critical points: and .
Case :
.
Only lies in . (1 solution)
Case :
.
Both and lie in . (2 solutions)
Case :
.
Neither root . (0 solutions)
Total number of real solutions .
Case :
.
Only lies in . (1 solution)
Case :
.
Both and lie in . (2 solutions)
Case :
.
Neither root . (0 solutions)
Total number of real solutions .
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This is a previous-year question from JEE Main 2026, covering the Basic of Mathematics 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.