JEE Main 2026 — Functions Question with Solution
JEE Main 2026 (22 January Shift 1)
Question
The number of distinct real solutions of the equation is
Choose an option
Show full solutionCorrect option: B
Correct answer
B1
Step-by-step explanation
Equation: .
Critical points: .
Case 1:
:
.
Discriminant . No real roots.
Case 2:
:
.
Discriminant . No real roots.
Case 3:
:
.
.
(rejected, not in ). (valid).
Number of distinct real solutions .
Critical points: .
Case 1:
:
.
Discriminant . No real roots.
Case 2:
:
.
Discriminant . No real roots.
Case 3:
:
.
.
(rejected, not in ). (valid).
Number of distinct real solutions .
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This is a previous-year question from JEE Main 2026, 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.