1
JEE Main 2022 (Online) 27th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

The boolean expression $$( \sim (p \wedge q)) \vee q$$ is equivalent to :

A
$$q \to (p \wedge q)$$
B
$$p \to q$$
C
$$p \to (p \to q)$$
D
$$p \to (p \vee q)$$
2
JEE Main 2022 (Online) 27th June Morning Shift
Numerical
+4
-1
Change Language

Let f : R $$\to$$ R be a function defined by $$f(x) = {{2{e^{2x}}} \over {{e^{2x}} + e}}$$. Then $$f\left( {{1 \over {100}}} \right) + f\left( {{2 \over {100}}} \right) + f\left( {{3 \over {100}}} \right) + \,\,\,.....\,\,\, + \,\,\,f\left( {{{99} \over {100}}} \right)$$ is equal to ______________.

Your input ____
3
JEE Main 2022 (Online) 27th June Morning Shift
Numerical
+4
-1
Change Language

If the sum of all the roots of the equation

$${e^{2x}} - 11{e^x} - 45{e^{ - x}} + {{81} \over 2} = 0$$ is $${\log _e}p$$, then p is equal to ____________.

Your input ____
4
JEE Main 2022 (Online) 27th June Morning Shift
Numerical
+4
-1
Out of Syllabus
Change Language

The positive value of the determinant of the matrix A, whose

Adj(Adj(A)) = $$\left( {\matrix{ {14} & {28} & { - 14} \cr { - 14} & {14} & {28} \cr {28} & { - 14} & {14} \cr } } \right)$$, is _____________.

Your input ____
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