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JEE ADVANCE 2012
paper 1
Question
Let $p(x)$ be a real polynomial of least degree which has a local maximum at $x=1$ and a local minimum at $x=3$. If $p(1)=6 p(3)=2$, then $p^{\prime}(0)$ is
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Showing 18 questions
QJEE Advance 20082008
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QJEE Advance 20102010
The hydrogen-like species $\mathrm{Li}^{2+}$ is in a spherically symmetric state $\mathrm{S}_1$ with one radial node. Upon absorbing light the ion...
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QJEE Advance 20102010
The hydrogen-like species $\mathrm{Li}^{2+}$ is in a spherically symmetric state $\mathrm{S}_1$ with one radial node. Upon absorbing light the ion...
JEE AdvanceChemistryEasy
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QJEE Advance 20092009
The correct statement(s) regarding defects in solids is(are)
JEE AdvanceChemistryEasy
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QJEE Advance 20102010
The hydrogen-like species $\mathrm{Li}^{2+}$ is in a spherically symmetric state $\mathrm{S}_1$ with one radial node. Upon absorbing light the ion...
JEE AdvanceChemistryEasy
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QJEE Advance2007
Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the sphere...
JEE AdvancePhysicsEasy
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QJEE Advance 20122012
Let $f:(-1,1) \rightarrow \operatorname{IR}$ be such that $f(\cos 4 \theta)=\frac{2}{2-\sec ^2 \theta}$ for $\theta \in\left(0, \frac{\pi}{4}\right) \cup\left(\frac{\pi}{4}, \frac{\pi}{2}\right)$. Then the...
JEE AdvanceMathematicsEasy
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QJEE Advance 20122012
If the adjoint of a $3 \times 3$ matrix $P$ is $...
JEE AdvanceMathematicsEasy
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QJEE Advance 20092009
The compound(s) that exhibit(s) geometrical isomerism is(are)
JEE AdvanceChemistryEasy
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QJEE Advance 20122012
If the straight lines $\frac{x-1}{2}=\frac{y+1}{k}=\frac{z}{2}$ and $\frac{x+1}{5}=\frac{y+1}{2}=\frac{z}{k}$ are coplanar, then the plane(s) containing these two lines is(are)
JEE AdvanceMathematicsEasy
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QJEE Advance 20092009
The correct statement(s) about the compound $\mathrm{H}_3 \mathrm{C}(\mathrm{HO}) \mathrm{HC}-\mathrm{CH}=\mathrm{CH}-\mathrm{CH}(\mathrm{OH}) \mathrm{CH}_3(\mathbf{X})$ is(are)
JEE AdvanceChemistryEasy
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Q JEE ADVANCE 20102010
The concentration of R in the reaction $\mathrm{R} \rightarrow \mathrm{P}$ was measured as a function of time and the following...
JEE AdvanceChemistryEasy
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QJEE Advance2007
A ray of light travelling in water is incident on its surface open to air. The angle of incidence is...
JEE AdvancePhysicsEasy
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QJEE Advance 20092009
The compound(s) formed upon combustion of sodium metal in excess air is(are)
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QJEE Advance 20122012
For every integer $n$, let $a_n$ and $b_n$ be real numbers. Let function $f: I R \rightarrow I R$ be...
JEE AdvanceMathematicsEasy
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QJEE Advance2007
A resistance of $2 \Omega$ is connected across one gap of a metre-bridge (the length of the wire is 100...
JEE AdvancePhysicsEasy
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QJEE Advance 20102010
$$ \text { Total number of geometrical isomers for the complex }\left[\mathrm{RhCl}(\mathrm{CO})\left(\mathrm{PPh}_3\right)\left(\mathrm{NH}_3\right)\right] \text { is } $$
JEE AdvanceChemistryEasy
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QJEE Advance2007
The largest wavelength in the ultraviolet region of the hydrogen spectrum is 122 nm . The smallest wavelength in the...
JEE AdvancePhysicsEasy
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