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QJEE MAIN 2020
The number of distinct solutions of the equation, $\log _{\frac{1}{2}}|\sin x|=2-\log _{\frac{1}{2}}|\cos x|$ in the interval $[0,2 \pi]$, is $\_\_\_\_$ .
JEE MainMathematicsEasy
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QJEE MAIN 2020
If the vectors, $\vec{p}=(a+1) \hat{i}+a \hat{j}+a \hat{k}$, $\overrightarrow{\mathrm{q}}=\mathrm{a} \hat{\mathrm{i}}+(\mathrm{a}+1) \hat{\mathrm{j}}+\mathrm{a} \hat{\mathrm{k}}$, and $\vec{r}=a \hat{i}+a \hat{j}+(a+1) \hat{k}(a \in R)$ are coplanar and $...
JEE MainMathematicsEasy
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QJEE MAIN 2020
A wire of density $9 \times 10^{-3} \mathrm{~kg} \mathrm{~cm}^{-3}$ is stretched between two clamps 1 m apart. The resulting strain in the wire is $...
JEE MainPhysicsHard
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QJEE MAIN 2020
The coefficient of $x^4$ in the expansion of $\left(1+x+x^2\right)^{10}$ is. $\_\_\_\_$
JEE MainMathematicsEasy
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QJEE MAIN 2020
A square shaped hole of side $I=\frac{a}{2}$ is carved out at a distance $d=\frac{a}{2}$ from the centre ' $O$ ' of a uniform circular disk...
JEE MainPhysicsMedium
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QJEE MAIN 2020
The projection of the line segment joining the point (1, –1, 3) and (2, –4, 11) on the line joining the points (–1, 2, 3)...
JEE MainMathematicsEasy
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QJEE MAIN 2020
A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness that melts at a rate of $...
JEE MainMathematicsEasy
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QJEE MAIN 2020
A capillary tube made of glass of radius 0.15 mm is dipped vertically in a beaker filled with methylene iodide (surface tension $=0.05 \mathrm{Nm}-1$, density...
JEE MainPhysicsEasy
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QJEE MAIN 2020
If $...
JEE MainMathematicsMedium
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QJEE MAIN 2020
If the number of five digit numbers with distinct digits and 2 at the $10^{\text {th }}$ place is 336 k , then k is...
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