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JEE Advance 2009
Paper-2
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The smallest value of $k$, for which both the roots of the equation $x^2-8 k x+16\left(k^2-k+1\right)=0$ are real, distinct and have values at least 4 , is
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Showing 18 questions
QJEE Advance 20082008
STATEMENT-1: $\quad \mathrm{Pb}^{4+}$ compounds are stronger oxidizing agents than $\mathrm{Sn}^{4+}$ compounds. and STATEMENT-2: The higher oxidation states for the group...
JEE AdvanceChemistryEasy
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QJEE Advance 20082008
STATEMENT-1: Bromobenzene upon reaction with $\mathrm{Br}_2 / \mathrm{Fe}$ gives 1,4 - dibromobenzene as the major product. and STATEMENT-2: In bromobenzene,...
JEE AdvanceChemistryEasy
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QJEE ADVANCE 20112011
The number of distinct real roots of $x^4-4 x^3+12 x^2+x-1=0$ is
JEE AdvanceMathematicsEasy
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QJEE ADVANCE 20112011
Let $\omega=\mathrm{e}^{\mathrm{i} \mathrm{x} / 3}$, and $\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{x}, \mathrm{y}, \mathrm{z}$ be non-zero complex numbers such that $$ \begin{aligned}...
JEE AdvanceMathematicsEasy
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QJEE Advance 20082008
STATEMENT-1: The plot of atomic number ( y -axis) versus number of neutrons ( x -axis) for stable nuclei shows...
JEE AdvanceChemistryEasy
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QJEE ADVANCE 20112011
The straight line $2 x-3 y=1$ divides the circular region $x^2+y^2 \leq 6$ into two parts. If $$ S=\left\{\left(2, \frac{3}{4}\right),\left(\frac{5}{2},...
JEE AdvanceMathematicsEasy
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QJEE ADVANCE 20112011
Let $\mathrm{a}=-\hat{\mathrm{i}}-\hat{\mathrm{k}}, \overrightarrow{\mathrm{b}}=-\hat{\mathrm{i}}+\mathrm{j}$ and $\dot{\mathrm{c}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}}$ be three given vectors. If $\dot{\mathrm{r}}$ is a vector such that $...
JEE AdvanceMathematicsEasy
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QJEE Advance 20082008
STATEMENT-1: For every chemical reaction at equilibrium, standard Gibbs energy of reaction is zero. and STATEMENT-2: At constant temperature and...
JEE AdvanceChemistryEasy
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QJEE Advance 20082008
Let the function $\mathrm{g}:(-\infty, \infty) \rightarrow\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ be given by $\mathrm{g}(\mathrm{u})=2 \tan ^{-1}\left(\mathrm{e}^{\mathrm{u}}\right)-\frac{\pi}{2}$. Then, g is
JEE AdvanceMathematicsEasy
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QJEE ADVANCE 20112011
Let L be a normal to the parabola $\mathrm{y}^2=4 \mathrm{x}$. If L passes through the point $(9,6)$, then L is...
JEE AdvanceMathematicsEasy
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QJEE ADVANCE 20112011
Let E and F be two independent events. The probability that exactly one of them occurs is $\frac{11}{25}$ and the...
JEE AdvanceMathematicsEasy
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QJEE ADVANCE 20112011
Let $f:(0,1) \rightarrow \mathbb{R}$ be defined by $f(x)=\frac{b-x}{1-b x}$, where be is a constant such that $0
JEE AdvanceMathematicsEasy
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QJEE ADVANCE 20112011
If $f(x)=\left\{\begin{array}{cc}-x-\frac{\pi}{2}, & x \leq-\frac{\pi}{2} \\ -\cos x, & -\frac{\pi}{2}1\end{array}\right.$ then
JEE AdvanceMathematicsEasy
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QJEE Advance 20082008
A particle $P$ starts from the point $z_0=1+2 i$, where $i=\sqrt{-1}$. It moves first horizontally away from origin by 5...
JEE AdvanceMathematicsEasy
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QJEE Advance 20082008
A solution of colourless salt $\mathbf{H}$ on boiling with excess NaOH produces a non-flammable gas. The gas evolution ceases after...
JEE AdvanceChemistryEasy
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QJEE Advance 20082008
Consider a branch of the hyperbola $x^2-2 y^2-2 \sqrt{2} x-4 \sqrt{2} y-6=0$ with vertex at the point $A$. Let $B$...
JEE AdvanceMathematicsEasy
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QJEE Advance 20082008
The correct statement (s) concerning the structures E, F and G is (are)
JEE AdvanceChemistryEasy
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QJEE ADVANCE 20112011
The circle passing through the point $(-1,0)$ and touching the $y$-axis at $(0,2)$ also passes through the point
JEE AdvanceMathematicsEasy
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