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Jee Main 2024
31-01-2024
Question
Let $a, b, c$ be the length of three sides of a triangle satisfying the condition $\left(a^2+b^2\right) x^2-2 b(a+c), x+ \left(b^2+c^2\right)=0$. If the set of all possible values of x is the interval $(\alpha, \beta)$, then $12\left(\alpha^2+\beta^2\right)$ is equal to
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Showing 18 questions
QJEE MAIN 20242024
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QJEE MAIN 20242024
The lines $\mathrm{L}_1, \mathrm{~L}_2, \ldots, \mathrm{I}_{20}$ are distinct. For $\mathrm{n}=1,2,3, \ldots, 10$ all the lines $\mathrm{L}_{2 \mathrm{n}-1}$ are parallel to...
JEE MainMathematicsEasy
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Q JEE MAIN 20242024
Let $\vec{a}=\hat{\imath}+\hat{\jmath}+\hat{k}, \vec{b}=-\hat{\imath}-8 \hat{\jmath}+2 \hat{k}$ and $\overrightarrow{\mathrm{c}}=4 \hat{\imath}+\mathrm{c}_2 \hat{\jmath}+\mathrm{c}_3 \hat{\mathrm{k}}$ be three vectors such that $\vec{b} \times \vec{a}=\vec{c} \times \vec{a}$....
JEE MainMathematicsEasy
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QJEE Main 20242024
Let C be a circle with radius $\sqrt{10}$ units and centre at the origin. Let the line $x+y=2$ intersects the...
JEE MainMathematicsEasy
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QJEE Main 20242024
If $\lambda>0$, let $\theta$ be the angle between the vectors $\vec{a}=\hat{\imath}+\lambda \hat{\jmath}-3 \hat{k}$ and $\vec{b}=3 \hat{\imath}-\hat{\jmath}+2 \hat{k}$. If the vectors...
JEE MainMathematicsEasy
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QJEE Main 20242024
If the function $f(x)=\left\{\begin{array}{ll}\frac{72^x-9^x-8^x+1}{\sqrt{2}-\sqrt{1+\cos x}} & , x \neq 0 \\ \log _e 2 \log _e 3 & , x=0\end{array}\right.$...
JEE MainMathematicsEasy
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QJEE MAIN 20242024
If $y=\frac{(\sqrt{x}+1)\left(x^2-\sqrt{x}\right)}{x \sqrt{x}+x+\sqrt{x}}+\frac{1}{15}\left(3 \cos ^2 x-5\right) \cos ^3 x$, then $96 y^{\prime}\left(\frac{\pi}{6}\right)$ is equal to :
JEE MainMathematicsEasy
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QJEE Main 20242024
Vanillin compound obtained from vanilla beans, has total sum of oxygen atoms and  electrons is__
JEE MainChemistryEasy
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QJEE MAIN 20242024
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QJEE Main 20242024
2.7 Kg of each of water and acetic acid are mixed, The freezing point of the solution will be $...
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QJEE MAIN 20242024
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JEE MainPhysicsEasy
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QJEE Main 20242024
A first row transition metal with highest enthalpy of atomisation, upon reaction with oxygen at high temperature forms oxides of...
JEE MainChemistryEasy
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QJEE Main 20242024
The total number of 'sigma' and 'Pi' bonds in 2-oxohex-4-ynoic acid is____.
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QJEE Main 20242024
Consider the following reaction, the rate expression of which is given below
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QJEE Main 20242024
From 6.55 g of aniline, the maximum amount of acetanilide that can be prepared will be $\_\_\_\_$ $\times 10^{-1} \mathrm{~g}$.
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QJEE Main 20242024
Three moles of an ideal gas are compressed isothermally from 60 L to 20 L using constant pressure of 5...
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QJEE Main 20242024
Number of compounds/species from the following with non-zero dipole moment is $\_\_\_\_$ $...
JEE MainChemistryEasy
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QJEE Main 20242024
The maximum number of orbitals which can identified with $\mathrm{n}=4$ and $\mathrm{m}_l=0$ is $\_\_\_\_$
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