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QJEE MAIN 2023
The negation of the statement $((A \wedge(B \vee C)) \Rightarrow(A \vee B)) \Rightarrow A$ is
JEE MainMathematicsEasy
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QJEE MAIN 2023
If a and b are the roots of equation $x^2-7 x-1=0$, then the value of $\frac{a^{21}+b^{21}+a^{17}+b^{17}}{a^{19}+b^{19}}$ is equal to
JEE MainMathematicsHard
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QJEE MAIN 2023
If $\int_{-0.15}^{0.15}\left|100 \mathrm{x}^2-1\right| \mathrm{dx}=\frac{\mathrm{k}}{3000}$, then k is equal to $\_\_\_\_$ .
JEE MainMathematicsMedium
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QJEE-Main 2023
From the top A of a vertical wall AB of height 30 m, the angles of depression of the top P and bottom Q of...
JEE MainMathematicsEasy
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QJEE MAIN 2023
Three bulbs are filled with CH4, CO2 and Ne as shown in the picture. The bulbs are connected through pipes of zero volume. When the...
JEE MainChemistryMedium
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QJEE MAIN 2023
Let $H_n=\frac{x^2}{1+n}-\frac{y^2}{3+n}=1, n \in N$. Let $k$ be the smallest even value of $n$ such that the eccentricity of $H_k$ is a rational number. If...
JEE MainMathematicsMedium
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QJEE MAIN 2023
The number of relations, on the set {1, 2, 3} containing (1, 2) and (2,3), which are reflexive and transitive but not symmetric, is____.
JEE MainMathematicsEasy
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QJEE MAIN 2023
The set of all $a \in \mathbb{R}$ for which the equation $x|x-1|+|x+2|+a=0$ has exactly one real root is :
JEE MainMathematicsMedium
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QJEE MAIN 2023
The number of ordered triplets of the truth values of $p, q$ and $r$ such that the truth value of the statement $...
JEE MainMathematicsEasy
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QJEEE MAIN 2023
The titration curve of weak acid vs. strong base with phenolphthalein as indictor) is shown below.
The Kphenolphthalein = 4 × 10–10.
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