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JEE Advance 2009

Paper-2

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Let ABC and $\mathrm{ABC}^{\prime}$ be two non-congruent triangles with sides $\mathrm{AB}=4, \mathrm{AC}=\mathrm{AC}^{\prime}=2 \sqrt{2}$ and angle $\mathrm{B}= 30^{\circ}$. The absolute value of the difference between the areas of these triangles is

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QJEE Advance2007

If a continuous $f$ defined on the real line $R$, assumes positive and negative values in $R$ then the equation...

JEE AdvanceMathematicsEasy

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QJEE Advance2007

If a continuous $f$ defined on the real line $R$, assumes positive and negative values in $R$ then the equation...

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QJEE Advance2007

If a continuous $f$ defined on the real line $R$, assumes positive and negative values in $R$ then the equation...

JEE AdvanceMathematicsEasy

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QJEE Advance 20092009

A cylindrical vessel of height 500 mm has an orifice (small hole) at its bottom. The orifice is initially closed...

JEE AdvancePhysicsEasy

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QJEE Advance 20092009

Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. These have masses...

JEE AdvancePhysicsEasy

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QJEE Advance2007

STATEMENT -1 : The curve $\mathrm{y}=\frac{-\mathrm{x}^2}{2}+\mathrm{x}+1$ is symmetric with respect to the line $\mathrm{x}=1$. because STATEMENT -2 : A parabola...

JEE AdvanceMathematicsEasy

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QJEE Advance 20112011

The minimum value of the sum of real numbers $\mathrm{a}^{-5}, \mathrm{a}^{-4}, 3 \mathrm{a}^{-3}, 1, \mathrm{a}^8$ and $\mathrm{a}^{10}$ with $\mathrm{a}>0$ is

JEE AdvanceMathematicsEasy

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QJEE Advance 20082008

STATEMENT-1 The stream of water flowing at high speed from a garden hose pipe tends to spread like a fountain...

JEE AdvancePhysicsEasy

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QJEE Advance2007

Lines $\mathrm{L}_1: \mathrm{y}-\mathrm{x}=0$ and $\mathrm{L}_2: 2 \mathrm{x}+\mathrm{y}=0$ intersect the line $\mathrm{L}_3: \mathrm{y}+2=0$ at P and Q , respectively. The bisector...

JEE AdvanceMathematicsEasy

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QJEE Advance 20112011

If $z$ is any complex number satisfying $|z-3-2 i| \leq 2$, then the minimum value of $|2 z-6+5 i|$ is

JEE AdvanceMathematicsEasy

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QJEE Advance 20092009

A 20 cm long string, having a mass of 1.0 g , is fixed at both the ends. The tension...

JEE AdvancePhysicsEasy

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QJEE Advance 20092009

Two soap bubbles A and B are kept in a closed chamber where the air is maintained at pressure $...

JEE AdvancePhysicsEasy

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QJEE Advance2007

Consider the planes $3 x-6 y-2 z=15$ and $2 x+y-2 z=5$. STATEMENT -1 : The parametric equations of the line...

JEE AdvanceMathematicsEasy

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QJEE Advance 20112011

Let $\mathrm{a}_1, \mathrm{a}_2, \mathrm{a}_3, \ldots, \mathrm{a}_{100}$ be an arithmetic progression with $\mathrm{a}_1=3$ and $\mathrm{S}_{\mathrm{p}}=\sum_{\mathrm{i}=1}^{\mathrm{p}} \mathrm{a}_{\mathrm{i}}, 1 \leq \mathrm{p} \leq 100$....

JEE AdvanceMathematicsEasy

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QJEE Advance2007

Let $f(x)=2+\cos x$ for all real $x$. STATEMENT -1 : For each real $t$, there exists a point $c$ in...

JEE AdvanceMathematicsEasy

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QJEE Advance 20092009

A metal rod AB of length 10 x has its one end A in ice at $0^{\circ} \mathrm{C}$ and the...

JEE AdvancePhysicsEasy

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QJEE Advance 20112011

The positive integer value of $\mathrm{n}>3$ satisfying the equation $\frac{1}{\sin \left(\frac{\pi}{\mathrm{n}}\right)}=\frac{1}{\sin \left(\frac{2 \pi}{\mathrm{n}}\right)}+\frac{1}{\sin \left(\frac{3 \pi}{\mathrm{n}}\right)}$ is

JEE AdvanceMathematicsEasy

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QJEE Advance 20082008

A particle of mass m and charge q, moving with velocity V enters Region II normal to the boundary as...

JEE AdvancePhysicsEasy

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