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QJEE MAIN 2019
The solution of the differential equation, $\frac{d y}{d x}=(x-y)^2$, when $y(1)=1$, is
JEE MainMathematicsMedium
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QJEE MAIN 2019
In the formula $X=5 Y Z^2, X$ and $Z$ have dimensions of capacitance and magnetic field, respectively. What are the dimensions of Y in SI...
JEE MainPhysicsMedium
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QJEE MAIN 2019
Let $\sqrt{3} \hat{i}+\hat{j}, \hat{i}+\sqrt{3} \hat{j}$ and $\beta \hat{i}+(1-\beta) \hat{j}$ respectively be the position vectors of the points $A, B$ and $C$ with respect to the...
JEE MainMathematicsMedium
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QJEE MAIN 2019
A solid sphere of mass $M$ and radius $R$ is divided into two unequal parts. The first part has a mass of $\frac{7 \mathrm{M}}{8}$ and...
JEE MainPhysicsMedium
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QJEE MAIN 2019
All $x$ satisfying the inequality $\left(\cot ^{-1} x\right)^2-7\left(\cot ^{-1} x\right)+10>0$, lie in the interval
JEE MainMathematicsMedium
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QJEE MAIN 2019
Light is incident normally on a completely absorbing surface with an energy flux of 25 Wcm2. If the surface has an area of $25 \mathrm{~cm}^2$,...
JEE MainPhysicsEasy
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QJEE MAIN 2019
If the point $(2, \alpha, \beta)$ lies on the plane which passes through the points $(3,4,2)$ and $(7,0,6)$ and is perpendicular to the plane $...
JEE MainMathematicsEasy
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QJEE MAIN 2019
The elastic limit of brass is 379 MPa. What should be the minimum diameter of a brass rod if it is to support a 400...
JEE MainPhysicsMedium
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QJEE MAIN 2019
A submarine experiences a pressure of $5.05 \times 10^6$ Pa at a depth of $\mathrm{d}_1$ in a sea. When it goes further to a depth...
JEE MainPhysicsEasy
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QJEE MAIN 2019
Let S = {1, 2, ...., 20}. A subset B of S is said to be “nice”, if the sum of the elements of B...
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