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JEE Advance 2011
Paper-1
Question
A block is moving on an inclined plane making an angle $45^{\circ}$ with the horizontal and the coefficient of friction is $\mu$. The force required to just push it up the inclined plane is 3 times the force required to just prevent it from sliding down. If we define $\mathrm{N}=10 \mu$, then N is
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Showing 18 questions
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The number of distinct real roots of $x^4-4 x^3+12 x^2+x-1=0$ is
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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 $$ \begin{aligned}...
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QJEE Advance 20082008
STATEMENT-1: The plot of atomic number ( y -axis) versus number of neutrons ( x -axis) for stable nuclei shows...
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The straight line $2 x-3 y=1$ divides the circular region $x^2+y^2 \leq 6$ into two parts. If $$ 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...
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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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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...
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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
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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...
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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 $B$...
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QJEE Advance 20082008
The correct statement (s) concerning the structures E, F and G is (are)
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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
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