If the greatest value of the term independent of 'x' in the expansion of ${\left( {x\sin \alpha + a{{\cos \alpha } \over x}} \right)^{10}}$ is ${{10!} \over {{{(5!)}^2}}}$, then the value of 'a' is equal to:
Previous 10 Questions — JEE Main 2021 (25 July Evening Shift)
Nearest first
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If $f(x) =
\begin{cases}
\int_{0}^{x} \left( 5 + |1 - t| \right) dt, & x > 2 \\
5x + 1, & x \leq 2
\end{cases}$, then
Topic: JEE Main 2021 (25 July Evening Shift)
The first of the two samples in a group has 100 items with mean 15 and standard deviation 3. If the whole group has 250…
Topic: JEE Main 2021 (25 July Evening Shift)
The sum of all those terms which are rational numbers in the expansion of (21/3 + 31/4)12 is :
Topic: JEE Main 2021 (25 July Evening Shift)
Next 10 Questions — JEE Main 2021 (25 July Evening Shift)
Ascending by ID
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The value of $\cot \dfrac{\pi}{24}$ is :
Topic: JEE Main 2021 (25 July Evening Shift)
The lowest integer which is greater than ${\left( {1 + {1 \over {{{10}^{100}}}}} \right)^{{{10}^{100}}}}$ is _________…
Topic: JEE Main 2021 (25 July Evening Shift)
The value of the integral $\int\limits_{ - 1}^1 {\log \left( {x + \sqrt {{x^2} + 1} } \right)dx} $ is :
Topic: JEE Main 2021 (25 July Evening Shift)
Let a, b and c be distinct positive numbers. If the vectors $a\widehat i + a\widehat j + c\widehat k,\widehat i+\wideha…
Topic: JEE Main 2021 (25 July Evening Shift)
If [x] be the greatest integer less than or equal to x, then $\sum\limits_{n = 8}^{100} {\left[ {{{{{( - 1)}^n}n} \over…
Topic: JEE Main 2021 (25 July Evening Shift)
The number of distinct real roots of $\left| {\matrix{ {\sin x} & {\cos x} & {\cos x} \cr {\cos x} & …
Topic: JEE Main 2021 (25 July Evening Shift)
If $\left| {\overrightarrow a } \right| = 2,\left| {\overrightarrow b } \right| = 5$ and $\left| {\overrightarrow a \t…
Topic: JEE Main 2021 (25 July Evening Shift)
The number of real solutions of the equation, x2 $-$ |x| $-$ 12 = 0 is :
Topic: JEE Main 2021 (25 July Evening Shift)
Consider function f : A $\to$ B and g : B $\to$ C (A, B, C $ \subseteq $ R) such that (gof)$-$1 exists, then :
Topic: JEE Main 2021 (25 July Evening Shift)
If $P = \begin{bmatrix} 1 & 0 \\ \tfrac{1}{2} & 1 \end{bmatrix}$, then $P^{50}$ is :
Topic: JEE Main 2021 (25 July Evening Shift)
