JEE Main 2026 — Quadratic Equation Question with Solution
JEE Main 2026 (23 January Shift 2)
Question
The sum of all the real solutions of the equation
is equal to
is equal to
Choose an option
Show full solutionCorrect option: C
Correct answer
C0
Step-by-step explanation
Note ,
,
.
Let . Then LHS and .
Equation becomes , i.e., .
So or .
Both satisfy domain conditions (bases , ; arguments ).
Sum .
,
.
Let . Then LHS and .
Equation becomes , i.e., .
So or .
Both satisfy domain conditions (bases , ; arguments ).
Sum .
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This is a previous-year question from JEE Main 2026, covering the Quadratic Equation 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.