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1
JEE Main 2021 (Online) 25th July Morning Shift
Numerical
+4
-1
The term independent of 'x' in the expansion of
$${\left( {{{x + 1} \over {{x^{2/3}} - {x^{1/3}} + 1}} - {{x - 1} \over {x - {x^{1/2}}}}} \right)^{10}}$$, where x $$\ne$$ 0, 1 is equal to ______________.
2
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
If the constant term, in binomial expansion of $${\left( {2{x^r} + {1 \over {{x^2}}}} \right)^{10}}$$ is 180, then r is equal to __________________.
3
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
The number of elements in the set {n $$\in$$ {1, 2, 3, ......., 100} | (11)n > (10)n + (9)n} is ______________.
4
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 _______________.