1
If (1-x3 )10= r=010arxr(1-x)30-2r, then 9a9a10 is equal to .
JEE Main 2026 (Online) 6th April Evening Shift
Binomial Theorem
Previous year questions with solutions · 2025 – 2026
33Questions
28Papers covered
3.79% ↓24.2%Weightage in 2026
’25
’26
Year-wise statistics questions · papers · average per paper · weightage
| Year | Questions | Papers | Avg / paper | Weightage |
|---|---|---|---|---|
| 2026 | 18 | 19 | 0.95 | 3.79% ↓24.2% |
| 2025 | 15 | 12 | 1.2 | 5.00% |
2
If the sum of the coefficients of x7 and x14 in the expansion of ( 1x3-x4 )n, x 0, is zero, then the value of n is .
JEE Main 2026 (Online) 5th April Morning Shift
3
If ( 115C0 + 115C1 ) ( 115C1 + 115C2 ) ( 115C12 + 115C13 ) = 1314C0 14C1 14C12, then 30 is equal to .
JEE Main 2026 (Online) 21st January Evening Shift
4
The product of the last two digits of (1919)1919 is
JEE Main 2025 (Online) 8th April Evening Shift
5
The sum of the series 2 1 20C4 - 3 2 20C5 + 4 3 20C6 - 5 4 20C7 + + 18 17 20C20, is equal to .
JEE Main 2025 (Online) 7th April Evening Shift
6
Let (1 + x + x2 )10 = a0 + a1x + a2x2 + + a20x20. If (a1 + a3 + a5 + + a19) - 11a2 = 121k, then k is equal to .
JEE Main 2025 (Online) 3rd April Evening Shift
7
If = 1 + r=16(-3)r-1 12C2r-1, then the distance of the point (12, 3) from the line x - 3y + 1 = 0 is .
JEE Main 2025 (Online) 28th January Morning Shift