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QJEE MAIN
Let the line L intersect the lines x-2=-y=z-1,2(x+1)=2(y-1)=z+1 and be parallel to the line $\frac{x-2}{3}=\frac{y-1}{1}=\frac{z-2}{2}$. Then which of the following points lies on L ?
JEE MainMathematicsMedium
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QJEE MAINS 2024
A coil is placed perpendicular to a magnetic field of 5000" " T. When the field is changed to 3000" " T in 2" "...
JEE MainPhysicsMedium
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QJEE MAIN 2024
Suppose θ∈[0,π/4] is a solution of 4cosθ-3sinθ=1.
Then cosθ is equal to :
JEE MainMathematicsEasy
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QJEE-Main 2024
A company has two plants A and B to manufacture motorcycles. 60% motorcycles are manufactured at plant A and the remaining are manufactured at plant...
JEE MainMathematicsEasy
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QJEE MAIN 2024
Let $[t]$ be the greatest integer less than or equal to t. Let $A$ be the set of al prime factors of 2310 and $...
JEE MainMathematicsHard
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QJEE MAINS 2024
In the given arrangement of a doubly inclined plane two blocks of masses M and m are placed. The blocks are connected by a light...
JEE MainPhysicsMedium
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QJEE MAIN 2024
Let $\alpha$ and $\beta$ be the sum and the product of all the non-zero solutions of the equation $(\bar{z})^2+|z|=0, z \in C$. Then $4\left(\alpha^2+\beta^2\right)$ is...
JEE MainMathematicsEasy
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QJEE MAIN 2024
Consider the following two statements Statement I: For any two non-zero complex numbers $z_1, z_2\left(\left|z_1\right|+\left|z_2\right|\right)\left|\frac{z_1}{\left|z_1\right|}+\frac{z_2}{\left|z_2\right|}\right| \leq 2\left(\left|z_1\right|+\left|z_2\right|\right)$ and Statement II: If $x, y, z$ are...
JEE MainMathematicsHard
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QJEE MAIN 2024
The equations of two sides AB and AC of a triangle $A B C$ are $4 x+y=14$ and $3 x-2 y=5$, respectively. The point $\left(2,-\frac{4}{3}\right)$...
JEE MainMathematicsMedium
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QJEE MAIN 2024
If 2 and 6 are the roots of the equation $\mathrm{ax}^2+\mathrm{bx}+1=0$, then the quadratic equation, whose roots are $\frac{1}{2 a+b}$ and $\frac{1}{6 a+b}$, is :
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