General Term: JEE Questions & Solutions
15 previous-year JEE Mathematics questions on General Term, each with a worked step-by-step solution.
Previous-year questions
- 01
In the expansion of ( 5 + 1 5)^n, n N, if the ratio of 15^th term from the beginning to the 15^th term from the end is 16, then the value…
MCQMediumJEE 2025 - 02
Number of integral terms in the expansion of ( 7z + 16 z)^824 is equal to:
NVAMediumJEE 2024 - 03
Let m and n be the coefficients of the seventh and thirteenth terms respectively in the expansion of ( 13x^1/3 + 12x^2/3 + 1)^18. Then nm^3…
MCQMediumJEE 2024 - 04
The sum of the coefficients of x^2/3 and x^-2/5 in the binomial expansion of (x^2/3 + 12x^2/5)^9 is:
MCQMediumJEE 2024 - 05
If ar is the coefficient of x^10-r in the binomial expansion of (1 + x)^10, then r=1^10 r^3 ( arar-1)^2 is equal to:
MCQMediumJEE 2023 - 06
If the coefficient of x^9 in ( a x^3 + 1 x^11) and the coefficient of x^-9 in ( a x - 1 x^3)^11 are equal, then ()^2 is equal to:
MCQMediumJEE 2023 - 07
If the coefficient of x^15 in the expansion of (ax^3 + 1bx^3)^15 is equal to the coefficient of x^-15 in the expansion of ( ax^3 -…
MCQMediumJEE 2023 - 08
If the constant term in the binomial expansion of ( x^5/22 - 4x)^9 is -84 and the coefficient of x^-3 is 2, where < 0 is an odd number,…
NVAMediumJEE 2023 - 09
If the term without x in the expansion of ( x^ 23 + x^3)^22 is 7315, then | | is equal to.
NVAMediumJEE 2023 - 10
The coefficient of x^18 in the expansion of (1+x^2+2x)^15 is:
NVAEasyJEE 2023 - 11
If the coefficients of x^7 in ( ax^2 + 12 bx)^11 and x^7 in ( ax - 13 bx^2) are equal, then:
MCQMediumJEE 2023 - 12
Let [t] denote the greatest integer t. If the constant term in the expansion of (3x^2 - 12x)^7 is, then [ ] is equal to:
NVAMediumJEE 2023 - 13
If the coefficient of x^7 in (ax - 1 / bx^2)^13 and the coefficient of x^-5 in (ax + 1 / bx^2)^13 are equal, then a^4b^4 is equal to:
MCQMediumJEE 2023 - 14
If the 1011^ th term from the end in the binomial expansion of ( 4x5 - 52x)^2022 is 1024 times the 1011^ th term from the beginning, the…
MCQMediumJEE 2023 - 15
The coefficient of x^2 in the expansion of ( 2x^2 - 13x^3)^5 is:
MCQMediumJEE 2023
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