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QJEE Main 2019
If $\frac{d y}{d x}+\frac{3}{\cos ^2 x} y=\frac{1}{\cos ^2 x}, x \in\left(\frac{-\pi}{3}, \frac{\pi}{3}\right)$ and $y\left(\frac{\pi}{4}\right)=\frac{4}{3}$, they $y\left(-\frac{\pi}{4}\right)$ equals
JEE MainMathematicsHard
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QJEE Main 2019
The sum of all two digit positive numbers which when divided by 7 yield 2 or 5 as remainder is
JEE MainMathematicsEasy
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QJEE MAIN 2019
There are two long co-axial solenoids of same length I . The inner and outer coils have radii $\mathrm{r}_1$ and $\mathrm{r}_2$ and number of turns...
JEE MainPhysicsEasy
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QJEE Main 2019
If $\sum_{\mathrm{i}=1}^{20}\left(\frac{{ }^{20} \mathrm{C}_{\mathrm{i}-1}}{{ }^{20} \mathrm{C}_{\mathrm{i}}+{ }^{20} \mathrm{C}_{\mathrm{i}-1}}\right)^3=\frac{\mathrm{k}}{21}$, then k equals
JEE MainMathematicsMedium
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QJEE Main 2019
If a circle $C$ passing through the point $(4,0)$ touches the circle $x^2+y^2+4 x-6 y=12$ externally at the point $(1$, -1 ), then the radius...
JEE MainMathematicsEasy
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QJEE MAIN 2019
In a Wheatstone bridge (see fig.), Resistances P and Q are approximately equal. When R $=400 \Omega$, the bridge is balanced. On interchanging P and...
JEE MainPhysicsEasy
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QJEE MAIN 2019
For the reaction of $\mathrm{H}_2$ with $\mathrm{I}_2$, the rate constant is $2.5 \times 10^{-4} \mathrm{dm} 3 \mathrm{~mol}^{-1} \mathrm{~s}^{-1}$ at $327^{\circ} \mathrm{C}$ and $...
JEE MainChemistryEasy
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QJEE MAIN 2019
Three charges Q, +q and +q are placed at the vertices of a right-angle isosceles triangles as shown below. The net electrostatic energy of the...
JEE MainPhysicsMedium
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QJEE MAIN 2019
The number of pentagons in $\mathrm{C}_{60}$ and trigons (triangles) in white phosphorus, respectively, are:
JEE MainChemistryEasy
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QJEE MAIN 2019
Two equal resistances when connected in series to a battery, consume electric power of 60 W. If these resistances are now connected in parallel combination...
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