1
JEE Main 2021 (Online) 20th July Morning Shift
Numerical
+4
-1
The number of rational terms in the binomial expansion of $${\left( {{4^{{1 \over 4}}} + {5^{{1 \over 6}}}} \right)^{120}}$$ is _______________.
Your input ____
2
JEE Main 2021 (Online) 18th March Evening Shift
Numerical
+4
-1
The term independent of x in the expansion of
$${\left[ {{{x + 1} \over {{x^{2/3}} - {x^{1/3}} + 1}} - {{x - 1} \over {x - {x^{1/2}}}}} \right]^{10}}$$, x $$\ne$$ 1, is equal to ____________.
$${\left[ {{{x + 1} \over {{x^{2/3}} - {x^{1/3}} + 1}} - {{x - 1} \over {x - {x^{1/2}}}}} \right]^{10}}$$, x $$\ne$$ 1, is equal to ____________.
Your input ____
3
JEE Main 2021 (Online) 18th March Evening Shift
Numerical
+4
-1
Let $${}^n{C_r}$$ denote the binomial coefficient of xr in the expansion of (1 + x)n.
If $$\sum\limits_{k = 0}^{10} {({2^2} + 3k)} {}^{10}{C_k} = \alpha {.3^{10}} + \beta {.2^{10}},\alpha ,\beta \in R$$, then $$\alpha$$ + $$\beta$$ is equal to ___________.
Your input ____
4
JEE Main 2021 (Online) 17th March Evening Shift
Numerical
+4
-1
Let the coefficients of third, fourth and fifth terms in the expansion of $${\left( {x + {a \over {{x^2}}}} \right)^n},x \ne 0$$, be in the ratio 12 : 8 : 3. Then the term independent of x in the expansion, is equal to ___________.
Your input ____
Questions Asked from Mathematical Induction and Binomial Theorem (Numerical)
Number in Brackets after Paper Indicates No. of Questions
JEE Main 2023 (Online) 1st February Evening Shift (2) JEE Main 2022 (Online) 29th July Evening Shift (1) JEE Main 2022 (Online) 29th July Morning Shift (1) JEE Main 2022 (Online) 28th July Evening Shift (2) JEE Main 2022 (Online) 27th July Evening Shift (1) JEE Main 2022 (Online) 26th July Morning Shift (1) JEE Main 2022 (Online) 25th July Morning Shift (1) JEE Main 2022 (Online) 29th June Evening Shift (1) JEE Main 2022 (Online) 28th June Morning Shift (1) JEE Main 2022 (Online) 27th June Evening Shift (1) JEE Main 2022 (Online) 27th June Morning Shift (1) JEE Main 2022 (Online) 26th June Evening Shift (1) JEE Main 2022 (Online) 26th June Morning Shift (1) JEE Main 2022 (Online) 25th June Evening Shift (1) JEE Main 2022 (Online) 25th June Morning Shift (1) JEE Main 2022 (Online) 24th June Evening Shift (1) JEE Main 2021 (Online) 1st September Evening Shift (1) JEE Main 2021 (Online) 31st August Evening Shift (1) JEE Main 2021 (Online) 31st August Morning Shift (1) JEE Main 2021 (Online) 27th August Evening Shift (1) JEE Main 2021 (Online) 26th August Evening Shift (1) JEE Main 2021 (Online) 25th July Evening Shift (2) JEE Main 2021 (Online) 25th July Morning Shift (2) JEE Main 2021 (Online) 22th July Evening Shift (2) JEE Main 2021 (Online) 20th July Morning Shift (1) JEE Main 2021 (Online) 18th March Evening Shift (2) JEE Main 2021 (Online) 17th March Evening Shift (1) JEE Main 2021 (Online) 17th March Morning Shift (1) JEE Main 2021 (Online) 16th March Evening Shift (1) JEE Main 2021 (Online) 26th February Morning Shift (1) JEE Main 2021 (Online) 25th February Evening Shift (2) JEE Main 2021 (Online) 24th February Evening Shift (1) JEE Main 2020 (Online) 5th September Evening Slot (1) JEE Main 2020 (Online) 5th September Morning Slot (1) JEE Main 2020 (Online) 4th September Morning Slot (1) JEE Main 2020 (Online) 2nd September Evening Slot (1) JEE Main 2020 (Online) 9th January Evening Slot (1) JEE Main 2020 (Online) 9th January Morning Slot (1) JEE Main 2020 (Online) 7th January Morning Slot (1)