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QJEE-Main 2024
Let, $\alpha, \beta$ be the distinct roots of the equation $\mathrm{x}^2-\left(\mathrm{t}^2-5 \mathrm{t}+6\right) \mathrm{x}+1=0, \mathrm{t} \in \mathrm{R}$ and $\mathrm{a}_{\mathrm{n}}=\alpha^{\mathrm{n}}+\beta^{\mathrm{n}}$ Then the minimum value of $\frac{a_{2023}+a_{2025}}{a_{2024}}$ is...
JEE MainMathematicsMedium
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QJEE MAIN 2024
Let $z$ be a complex number such that $|z+2|=1$ and $\operatorname{lm}\left(\frac{z+1}{z+2}\right)=\frac{1}{5}$. Then the value of $|\operatorname{Re}(\overline{z+2})|$ is :
JEE MainMathematicsMedium
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QJEE MAIN 2024
Let the point, on the line passing through the points $\mathrm{P}(1,-2,3)$ and $\mathrm{Q}(5,-4,7)$, farther from the origin and at a distance of 9 units from...
JEE MainMathematicsEasy
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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...
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