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QJEE MAIN 2019
Let f(x) = 15 – |x – 10|; x $\in$ R. Then the set of all values of x, at which the function, g(x) =...
JEE MainMathematicsMedium
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QJEE MAIN 2019
Let $S=\left\{\theta \in[-2 \pi, 2 \pi] ; 2 \cos ^2 \theta+3 \sin \theta=0\right\}$ . Then the sum of the elements of S is :
JEE MainMathematicsEasy
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QJEE MAIN_2019_
The value of $\int_0^{2 \pi}[\sin 2 x(1+\cos 3 x)] d x$, where $[t]$ denotes the greatest integer function, is:
JEE MainMathematicsMedium
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QJEE MAIN_2019_
The number of 6 digit numbers that can be formed using the digits 0, 1, 2, 5, 7 and 9 which are divisible by 11...
JEE MainMathematicsMedium
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QJEE MAIN 2019
$...
JEE MainMathematicsEasy
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QJEE MAIN_2019
If $a>0$ and $z=\frac{(1+i)^2}{a-i}$, has magnitude $\sqrt{\frac{2}{5}}$, then $\bar{z}$ is equal to:
JEE MainMathematicsMedium
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QJEE MAIN 2019
Let $\sum_{k=1}^{10} f(a+k)=16\left(2^{10}-1\right)$ , where the function f satisfies f(x + y) = f(x) f(y) for all natural numbers x, y and f(1) = 2....
JEE MainMathematicsMedium
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QJEE MAIN_2019_
All the pairs ( $x, y$ ) that satisfy the inequality $2^{\sqrt{\ln ^2 x-2 \sin x+5}} \cdot \frac{1}{4^{\sin ^2 y}} \leq 1$ also satisfy the...
JEE MainMathematicsMedium
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QJEE MAIN 2019
Let $\vec{\alpha}=3 \hat{i}+\hat{j}$ and $\vec{\beta}=2 \hat{i}-\hat{j}+3 \hat{k}$. If $\vec{\beta}=\vec{\beta}_1-\vec{\beta}_2$ , where $\vec{\beta}_1$ is parallel to $\vec{\alpha}$ and $\vec{\beta}_2$ is perpendicular to $\vec{\alpha}$ , the $...
JEE MainMathematicsMedium
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QJEE MAIN 2019
All the points in the set $\mathrm{S}=\left\{\frac{\alpha+\mathrm{i}}{\alpha-\mathrm{i}}: \alpha \in \mathrm{R}\right\}(\mathrm{i}=\sqrt{-1})$ lie on a :
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