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QJEE MAIN_2022
The number of distinct real roots of the equation $x^5\left(x^3-x^2-x+1\right)+x\left(3 x^3-4 x^2-2 x+4\right)-1=0$ is
JEE MainPhysicsEasy
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QJEE MAIN_2022
The series of positive multiples of 3 is divided into sets : {3}, {6, 9,12}, {15, 18, 21, 24, 27},... Then the sum of the...
JEE MainMathematicsMedium
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QJEE MAIN_2022
The number of 5-digit natural numbers, such that the product of their digits is 36, is
JEE MainMathematicsMedium
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QJEE MAIN_2022
If for some $p, q, r \in R$, not all have same sign, one of the roots of the equation $\left(p^2+q^2\right) x^2-2 q(p+r) x+q^2+r^2=$ 0...
JEE MainMathematicsHard
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QJEE MAIN_2022
The statement $(\sim(p \Leftrightarrow \sim q)) \wedge q$ is:
JEE MainMathematicsMedium
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QJEE MAIN_2022
$\tan \left(2 \tan ^{-1} \frac{1}{5}+\sec ^{-1} \frac{\sqrt{5}}{2}+2 \tan ^{-1} \frac{1}{8}\right)$ is equal to:
JEE MainMathematicsMedium
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QJEE MAIN_2022
Let $S=\left\{\theta \in[0,2 \pi]: 8^{2 \sin ^2 \theta}+8^{20 \cos ^2 \theta}=16\right\}$. Then $n(S)+\sum_{\theta \in S}\left(\sec \left(\frac{\pi}{4}+2 \theta\right) \operatorname{cosec}\left(\frac{\pi}{4}+2 \theta\right)\right)$ is equal to .
JEE MainMathematicsMedium
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QJEE MAIN 2021
For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectric constant K is used, which has the same area as...
JEE MainPhysicsEasy
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QJEE MAIN 2022
Match List I with List II
JEE MainChemistryEasy
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QJEE MAIN 2022
The metal complex that is diamagnetic is (Atomic number : Fe, 26; Cu, 29)
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