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QJEE MAIN
A wire of resistance R and radius r is stretched till its radius became r/2. If new resistance of the stretched wire is x, then...
JEE MainPhysicsMedium
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QJEE MAIN 2024
The sum of all rational terms in the expansion of $\left(2^{\frac{1}{5}}+5^{\frac{1}{3}}\right)^{15}$ is equal to :
JEE MainMathematicsEasy
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QJEE-Main 2024
Let A={n∈[100,700]∩N:n is neither a multiple of 3 nor a multiple of 4}. Then the number of elements in A is _____.
JEE MainMathematicsMedium
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QJEE MAIN
The refractive index of prism is $\mu=\sqrt{3}$ and the ratio of the angle of minimum deviation to the angle of prism is one. The value...
JEE MainPhysicsHard
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QJEE MAIN 2024
If the shortest distance between the lines L_1:r ⃗=(2+λ)i ˆ+(1-3λ)j ˆ+(3+4λ)k ˆ,λ∈R L_2:r ⃗=2(1+μ)i ˆ+3(1+μ)j ˆ+(5+μ)k ˆ,μ∈R is m/√n, where gcd(m,n)=1, then the value of...
JEE MainMathematicsEasy
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QJEE MAIN 2024
Let $A$ and $B$ be two square matrices of order 3 such that $|A|=3$ and $|B|=2$. Then $\left|A^T A(\operatorname{adj}(2 A))^{-1}(\operatorname{adj}(4 B))(\operatorname{adj}(A B))^{-1} A A^T\right|$ is...
JEE MainMathematicsEasy
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QJEE MAINS 2024
Four identical particles of mass $m$ are kept at the four corners of a square. If the gravitational force exerted on one of the masses...
JEE MainPhysicsHard
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QJEE MAIN
When a dc voltage of 100V is applied to an inductor, a de current of 5A flows through it. When an ac voltage of 200"...
JEE MainPhysicsMedium
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QJEE MAIN 2024
Let $A=\left[\begin{array}{lll}2 & a & 0 \\ 1 & 3 & 1 \\ 0 & 5 & b\end{array}\right]$. If $A^3=4 A^2-A-21 I$, where 1 is...
JEE MainMathematicsHard
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QJEE-Main 2024
The function $f(x)=\frac{x^2+2 x-15}{x^2-4 x+9}, x \in R$ is $\_\_\_\_$ .
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