JEE Main 2026 — Binomial Theorem Question with Solution
JEE Main 2026 (21 January Shift 1)
Question
If the coefficient of in the expansion of is -56 and the coefficients of and are both zero, then is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C1403
Step-by-step explanation
In : , , , .
Coefficient of : ...(1)
Coefficient of : ...(2)
Coefficient of : ...(3)
From (1): . Substituting in (2): .
Substituting in (3): .
Thus , .
.
Coefficient of : ...(1)
Coefficient of : ...(2)
Coefficient of : ...(3)
From (1): . Substituting in (2): .
Substituting in (3): .
Thus , .
.
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This is a previous-year question from JEE Main 2026, covering the Binomial Theorem 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.