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Modulus

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE Main 2024
If $y(\theta)=\frac{2 \cos \theta+\cos 2 \theta}{\cos 3 \theta+4 \cos 2 \theta+5 \cos \theta+2}$, then at $\theta=\frac{\pi}{2}, y^{\prime \prime}+y^{\prime}+y$ is equal...
JEE Main Mathematics Easy
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Q JEE Main 2024
If $\log _e y=3 \sin ^{-1} x$, then $(1-x)^2 y^{\prime \prime}-x y^{\prime}$ at $x=\frac{1}{2}$ is equal to :
JEE Main Mathematics Easy
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Q JEE MAIN 2024
Let $\mathrm{f}: \mathbb{R}-\{0\} \rightarrow \mathbb{R}$ be a function satisfying $f\left(\frac{x}{y}\right)=\frac{f(x)}{f(y)}$ for all $x, y, f(y) \neq 0$. If $f^{\prime}(1)=2024$, then
JEE Main Mathematics Medium
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Q JEE Advance 2023
PARAGRAPH "I" Consider an obtuse angled triangle ABC in which the difference between the largest and the smallest angle is...
JEE Advance Mathematics Easy
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Q JEE Advance 2023
PARAGRAPH "I" Consider an obtuse angled triangle ABC in which the difference between the largest and the smallest angle is...
JEE Advance Mathematics Medium
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Q JEE Advance 2023
Let $...
JEE Advance Mathematics Medium
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Q JEE Advance 2023
Let $\mathrm{A}_1, \mathrm{~A}_2, \mathrm{~A}_{3, \ldots} \ldots \mathrm{~A}_8$, be the vertices of a regular octagon that lie on a circle of...
JEE Advance Mathematics Medium
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Q JEE Advance 2023
Let $X$ be the set of all five digit numbers formed using $1,2,2,2,4,4,0$. For example, 22240 is in $X$ while...
JEE Advance Mathematics Medium
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Q JEE Advance 2023
Let $f:(0,1) \rightarrow \mathbb{R}$ be the function defined as $f(x)=[4 x]\left(x-\frac{1}{4}\right)^2\left(x-\frac{1}{2}\right)^2$, where $[x]$ denotes the greatest integer less than or...
JEE Advance Mathematics Medium
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Q JEE Advance 2023
Let $\mathrm{M}=\left(\mathrm{a}_{\mathrm{iij}}\right), \mathrm{i}, \mathrm{j} \in\{1,2,3\}$, be the $3 \times 3$ matrix such that $\mathrm{a}_{\mathrm{ij}}=1$ if $\mathrm{j}+1$ is divisible by i...
JEE Advance Mathematics Medium
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Q JEE Advance 2023
Let the position vectors of the points $P, Q, R$ and $S$ be $...
JEE Advance Mathematics Easy
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Q JEE Advance 202
Consider an experiment of tossing a coin repeatedly until the outcomes of two consecutive tosses are same. If the probability...
JEE Advance Mathematics Medium
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