General Term: JEE Questions & Solutions

In the expansion of ( 3-root √2 + 1/(3-root √3))ⁿ, n ∈ ℕ, if the ratio of 15^th term from the beginning to the 15^th term from the end is…

The number of integral terms in the expansion of (7^(1/2) + 11^(1/6))⁸²⁴ is equal to.

Let m and n be the coefficients of the seventh and thirteenth terms respectively in the expansion of (1/3x^(1/3) + 1/2x^(2/3))¹⁸. Then…

The sum of the coefficients of x^(2/3) and x^(-2/5) in the binomial expansion of (x^(2/3) + 1/2x^(2/5))⁹ is:

If a_r is the coefficient of x^(10-r) in the binomial expansion of (1 + x)¹⁰, then Σ_(r=1)¹⁰ r³ ( a_r/a_(r-1))² is equal to:

If the coefficient of x⁹ in ( α x³ + 1/(β x))¹¹ and the coefficient of x⁻⁹ in ( α x - 1/(β x³))¹¹ are equal, then (αβ)² is equal to:

If the coefficient of x¹⁵ in the expansion of (ax³ + 1/bx^(1/3))¹⁵ is equal to the coefficient of x⁻¹⁵ in the expansion of (ax^(1/3) -…

If the constant term in the binomial expansion of ( x^(5/2)/2 - 4/x^ℓ)⁹ is -84 and the coefficient of x^(-3ℓ) is 2^αβ, where β < 0 is an…

If the term without x in the expansion of ( x^(2/3) + α/x³)²² is 7315, then |α| is equal to.

The coefficient of x¹⁸ in the expansion of (x⁴ - 1/x³)¹⁵ is:

If the coefficients of x⁷ in (ax² + 1/2bx)¹¹ and of x⁻⁷ in (ax - 1/3bx²)¹¹ are equal, then:

Let [t] denote the greatest integer ≤ t. If the constant term in the expansion of (3x² - 1/2x⁵)⁷ is α, then [α] is equal to:

If the coefficient of x⁷ in (ax - 1 / bx²)¹³ and the coefficient of x⁻⁵ in (ax + 1 / bx²)¹³ are equal, then a⁴b⁴ is equal to:

If the 1011^th term from the end in the binomial expansion of (4x/5 - 5/2x)²⁰²² is 1024 times the 1011^th term from the beginning, the |x|…

The coefficient of x⁵ in the expansion of ( 2x³ - 1/3x²)⁵ is: